ICERM Semester Program on "Dimension and Dynamics"
(February 1 - May 6, 2016)

Picture

[Photo Credit: Mark A. Wilson]


Introduction

Since its introduction by Felix Hausdorff in 1919, the concept of the Hausdorff dimension of sets and measures has been a versatile and powerful tool in classical analysis, geometry and geometric measure theory, mathematical physics and their numerous applications. However, there has been a particularly important symbiosis between dynamical systems and dimension theory. This connection arises both from application of dimension theory to the classification and geometric analysis of dynamical systems (and their invariant sets and measures), and the fact that many classical objects of study in mathematics arise from (sometimes implicit) dynamical systems, which often play a role in the dimension theory of said objects.

Recently, there has been substantial progress on a number of central problems in dimension theory, and while many old problems remain, many new ones have also presented themselves. These include a deeper understanding of the relationship between dimension, entropy and Lyapunov exponents; the recent strengthenings of the Marstrand projection theorem and its implications for dimensions of sums of Cantor sets and the connections with number theory; multifractal analysis of ergodic averages, particularly the recent advances for multiple ergodic averages; and improved computational methods for obtaining effective bounds on Hausdorff dimension. This proposed program aims to set the stage for further progress on the many open problems in the field.

It is a challenging classical problem to compute numerically dimensions of given fractals. In recent years, computer-aided proofs in mathematical analysis have gained an increasing presence in mathematical research. One reason for this field's growing impact is due to its ability to produce high-quality quantitative information about global, nonlinear problems. As a consequence, solutions to a large class of previously intractable problems are now within reach and recently several long-standing conjectures have been verified using rigorous computations.

During the semester we will focus on three specific aspects of the interaction between these two areas: (i) Ergodic, algebraic and combinatorial methods in dimension theory (ii) Computations in fractal geometry in dynamical systems; and (iii) Fractal geometry and hyperbolic dynamics.

Organizing Committee

  • Dmitry Dolgopyat
    (University of Maryland)
  • Mike Hochman
    (Hebrew University of Jerusalem)
  • Izabella Laba
    (University of British Columbia)
  • Stefano Luzzatto
    (ITCP-Trieste)
  • Yakov Pesin
    (Penn State University)
  • Mark Pollicott
    (Warwick University)
  • Joerg Schmeling
    (Lund University)
  • Boris Solomyak
    (Bar-Ilan University)
  • Warwick Tucker
    (Uppsala University)

Associated Events & Information

Spring 2016 Semester Workshops

DatesTitleOrganizers
February 15-19, 2016Ergodic, algebraic and combinatorial methods in dimension theory Mike Hochman, Izabella Laba, Pablo Shmerkin, Barak Weiss
March 7-11, 2016Fractal Geometry, Hyperbolic Dynamics and Thermodynamical Formalism Lorenzo Diaz, Dmitry Dolgopyat, Maarit Jarvenpaa, Joerg Schmeling, Masato Tsujii, Amie Wilkinson
April 4-8, 2016Computation in Dynamics Denis Gaidashev, Stefano Galatolo, Stefano Luzzatto, Warwick Tucker, Michael Yampolsky

This page will show upcoming seminars that will be scheduled by organizers, speakers, and participants of the Spring 2016 semester program. Walk-ins are welcomed and encouraged for these seminars. Please check back regularly for updates.

We provide an iCal link for those attendees who wish to sync their own devices and/or calendars to our schedule.


Monday February 1, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 4:00Dimension and Dynamics Check-In121 South Main Street (11th Floor)
4:15 - 5:00Informal Coffee/Tea Break11th Floor Collaborative Space

Tuesday February 2, 2016
Time Description Speaker Location Abstracts Slides
9:30 - 10:00ICERM Director WelcomeJill Pipher, ICERM Director11th Floor Lecture Hall
10:00 - 10:45Brief Organizer Introductions and Broad Program OverviewMichael Hochman (Hebrew University of Jerusalem), Izabella Laba (University of British Columbia), Boris Solomyak (Bar-Ilan University), Yakov Pesin (Penn State University)11th Floor Lecture Hall
10:45 - 11:15Coffee/Tea Break11th Floor Collaborative Space
11:15 - 11:205-minute Graduate student introductionsLaura Cladek, University of Wisconsin - Madison11th Floor Lecture Hall
11:20 - 11:255-minute Graduate student introductionsNatalia Jurga, University of Warwick11th Floor Lecture Hall
11:25 - 11:305-minute Graduate student introductionsRoland Molontay, Budapest University11th Floor Lecture Hall
11:30 - 11:355-minute Graduate student introductionsErez Nesharim, Tel Aviv University11th Floor Lecture Hall
11:35 - 11:405-minute Graduate student introductionsVuksan Mijovic, University of St Andrews11th Floor Lecture Hall
11:40 - 11:455-minute Graduate student introductionsSasha Troscheit, University of St. Andrews11th Floor Lecture Hall
11:45 - 11:505-minute Graduate student introductionsJohn Yang, University of Toronto11th Floor Lecture Hall
11:50 - 11:555-minute Graduate student introductionsAgnieszka Zelerowicz, Penn State University11th Floor Lecture Hall
12:00 - 2:30Lunch and Free Time
2:30 - 2:4010-minute Postdoc introductionsMarta Canadell, ICERM Institute Postdoc11th Floor Lecture Hall
2:40 - 2:5010-minute Postdoc introductionsNishant Chandgotia, ICERM Semester Postdoc11th Floor Lecture Hall
2:50 - 3:0010-minute Postdoc introductionsAbel Farkas, ICERM Semester Postdoc11th Floor Lecture Hall
3:00 - 3:1010-minute Postdoc introductionsPeter Hazard, University of Toronto11th Floor Lecture Hall
3:10 - 3:2010-minute Postdoc introductionsZhiqiang Li, ICERM Semester Postdoc11th Floor Lecture Hall
3:30 - 4:30Coffee/Tea Break and Free Time
4:30 - 6:30Welcome Reception11th Floor Collaborative Space

Wednesday February 3, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Thursday February 4, 2016
Time Description Speaker Location Abstracts Slides
11:00 - 11:30IT TutorialBrian Lavall, ICERM Technical Support Coordinator11th Floor Lecture Hall
2:00 - 3:15An example of renormalization in dynamics: rotational attractions of 2D maps.Michael Yampolsky, University of Toronto
3:15 - 3:30Coffee/Tea Break11th Floor Collaborative Space
3:30 - 4:15Subadditive topological pressure for nonconformal repeller and it's continuityYongluo Cao, Suzhou University11th Floor Lecture Hall

Friday February 5, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Tuesday February 9, 2016
Time Description Speaker Location Abstracts Slides
1:00 - 2:00Graduate Student/Postdoc Lunch11th Floor Conference Room
3:30 - 4:00Coffee/Tea Break11th Floor Lecture Hall

Wednesday February 10, 2016
Time Description Speaker Location Abstracts Slides
11:00 - 11:45Mini-course: A class of random Cantor measures, with applicationsPablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall
11:45 - 12:15Coffee/Tea Break11th Floor Collaborative Space
12:15 - 1:00Mini-course: A class of random Cantor measures, with applicationsPablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall
1:15 - 3:30Break for Lunch/Free Time
3:30 - 4:10Mini-course: Schmidt games and fractals in dynamics and number theory Barak Weiss, Tel Aviv University11th Floor Lecture Hall
4:15 - 4:45Coffee/Tea Break11th Floor Collaborative Space
4:45 - 5:30Mini-course: Schmidt games and fractals in dynamics and number theory Barak Weiss, Tel Aviv University11th Floor Lecture Hall

Thursday February 11, 2016
Time Description Speaker Location Abstracts Slides
11:00 - 11:45Mini-course: Schmidt games and fractals in dynamics and number theoryDmitry Kleinbock, Brandeis University11th Floor Lecture Hall
11:45 - 12:15Coffee/Tea Break11th Floor Collaborative Space
12:15 - 1:00Mini-course: Schmidt games and fractals in dynamics and number theoryDmitry Kleinbock, Brandeis University11th Floor Lecture Hall
1:15 - 3:30Break for Lunch/Free Time
3:30 - 4:15Mini-course: Equidistribution and dimension via additive combinatoricsElon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall
4:15 - 4:45Coffee/Tea Break11th Floor Collaborative Space
4:45 - 5:30Mini-course: Equidistribution and dimension via additive combinatoricsElon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall
5:30 - 6:30Light Reception11th Floor Collaborative Space

Friday February 12, 2016
Time Description Speaker Location Abstracts Slides
11:00 - 11:45Mini-course: A class of random Cantor measures, with applicationsPablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall
11:45 - 12:15Coffee/Tea Break11th Floor Collaborative Space
12:15 - 1:00Mini-course: A class of random Cantor measures, with applicationsPablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall
1:15 - 3:30Break for Lunch/Free Time
3:30 - 4:15Mini-course: Equidistribution and dimension via additive combinatoricsElon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall
4:15 - 4:45Coffee/Tea Break11th Floor Collaborative Space
4:45 - 5:30Mini-course: Equidistribution and dimension via additive combinatoricsElon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall

Monday February 15, 2016
Time Description Speaker Location Abstracts Slides
8:30 - 8:55Registration11th Floor Collaborative Space
8:55 - 9:00WelcomeICERM Director11th Floor Lecture Hall
9:00 - 9:45Tangents of curves and projection theorem in infinite dimensional spacesMarianna Csörnyei, University of Chicago11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Ledrappier-Young formula and exact dimensionality of self-affine measuresBalázs Bárány, University of Warwick11th Floor Lecture Hall
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11:30 - 12:15Finite point configurations- a survey of techniques and ideasAlex Iosevich, University of Rochester11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch / Free Time
2:30 - 3:15Measurable equidecompositions and circle squaringAndrás Máthé, University of Warwick11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45An additive energy bound for Ahlfors-regular setsJoshua Zahl, MIT11th Floor Lecture Hall
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5:00 - 6:30Welcome Reception11th Floor Collaborative Space

Tuesday February 16, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Dimensions of projected sets and measures on self-affine setsDe-Jun Feng, The Chinese University of Hong Kong11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:00 - 10:15Poster PresentationMagdalena Nowak11th Floor Collaborative Space
10:30 - 11:15Dimension estimates for spectral measures in DynamicsBoris Solomyak, Bar-Ilan University11th Floor Lecture Hall
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11:30 - 12:15Hausdorff dimension and non-uniquely ergodic interval exchange transformations.Jon Chaika, University of Utah11th Floor Lecture Hall
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12:40 - 2:30Break for Lunch / Free Time
2:30 - 3:15Discrete Analogues in Harmonic Analysis- A Quadratic Carleson TheoremBen Krause, UCLA11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45Fractional maximal operators and geometric consequences.Krystal Taylor, The Ohio State University11th Floor Lecture Hall

Wednesday February 17, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Polynomial configurations in fractal sets.Izaballa Laba, University of British Columbia11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15A Roth type theorem for large subsets of multidimensional Euclidean spacesMalabika Pramanik, University of British Columbia11th Floor Lecture Hall
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11:30 - 12:15Problem Session11th Floor Lecture Hall
12:30 - 2:15Break for Lunch / Free Time
2:15 - 4:30Discussion / Work Time
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space

Thursday February 18, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Hausdorff dimension of singular vectorsYitwah Cheung, San Francisco State University11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Dirichlet uniformly well-approximated numbersDong Han Kim, Dongguk University11th Floor Lecture Hall
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11:30 - 12:15Extremality and dynamically defined measuresDavid Simmons, Ohio State University11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch / Free Time
2:30 - 3:15New constructions of Kakeya and Besicovitch setsYuval Peres, Microsoft Research11th Floor Lecture Hall
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3:15 - 3:30On-line Exit Survey Reminder 11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45Self affine sets with a fibered tangent structureHenna Koivusalo, University of York11th Floor Lecture Hall
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Friday February 19, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Dimension of Furstenberg measure of SL_2(R) random matrix productsMichael Hochman, Hebrew University11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Fractal percolation is purely a-unrectifiableEsa Järvenpää, University of Oulu11th Floor Lecture Hall
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11:30 - 12:15On the dimension of diagonally affine self-affine sets and overlaps.Karoly Simon, Budapest University of Technology and Economics11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch / Free Time
12:30 - 12:40Group Photo in Lecture Hall11th Floor Lecture Hall
2:30 - 3:15Sections and projections of random fractals and measuresKenneth Falconer, University of St. Andrews11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Monday February 22, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break

Tuesday February 23, 2016
Time Description Speaker Location Abstracts Slides
2:00 - 2:45Nonhyperbolic skew products: an axiomatic approachKatrin Gelfert, Universidade Federal do Rio de Janerio11th Floor Lecture Hall
3:00 - 3:30Coffee/Tea Break
3:30 - 4:15Ergodicity and partial hyperbolicity on unit tangent bundles of surfaces IJana Rodriguez Hertz, IMERL11th Floor Lecture Hall

Wednesday February 24, 2016
Time Description Speaker Location Abstracts Slides
9:30 - 10:30Professional Development - Ethics in Research I11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break

Thursday February 25, 2016
Time Description Speaker Location Abstracts Slides
2:00 - 2:45Nonhyperbolic skew products: ergodic approximations and exposed piecesKatrin Gelfert, Universidade Federal do Rio de Janerio11th Floor Lecture Hall
3:00 - 3:30Coffee/Tea Break
3:30 - 4:15Ergodicity and partial hyperbolicity on unit tangent bundles of surfaces IIRaul Ures, IMERL

Friday February 26, 2016
Time Description Speaker Location Abstracts Slides
2:00 - 2:45Thermodynamic formalism in one-dimensional dynamicsMike Todd, University of St. Andrews11th Floor Lecture Hall
3:00 - 3:30Coffee/Tea Break
3:30 - 4:15Thermodynamic formalism in one-dimensional dynamicsMike Todd, University of St. Andrews11th Floor Lecture Hall

Monday February 29, 2016
Time Description Speaker Location Abstracts Slides
2:00 - 2:45Thermodynamic formalism in one-dimensional dynamicsMike Todd, University of St. Andrews11th Floor Lecture Hall
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space

Tuesday March 1, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Wednesday March 2, 2016
Time Description Speaker Location Abstracts Slides
9:30 - 10:30Professional Development - Ethics in Research II11th Floor Lecture Hall
1:30 - 2:15Multifractal analysis, large deviations and Fourier transforms for countable branch expanding mapsThomas Jordan, University of Bristol11th Floor Lecture Hall
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2:30 - 3:00Coffee/Tea Break
3:00 - 3:45Multifractal analysis, large deviations and Fourier transforms for countable branch expanding mapsThomas Jordan, University of Bristol11th Floor Lecture Hall
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Thursday March 3, 2016
Time Description Speaker Location Abstracts Slides
2:00 - 2:45Microlocal techniques for hyperbolic dynamicsSemyon Dyatlov, MIT11th Floor Lecture Hall
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3:00 - 3:30Coffee/Tea Break
3:30 - 4:15Microlocal techniques for hyperbolic dynamicsSemyon Dyatlov, MIT11th Floor Lecture Hall
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Friday March 4, 2016
Time Description Speaker Location Abstracts Slides
2:00 - 2:45Symbolic dynamics for hyperbolic systemsYuri Lima, University of Paris11th Floor Lecture Hall
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3:00 - 3:30Coffee/Tea Break
3:30 - 4:15Symbolic dynamics for hyperbolic systemsYuri Lima, University of Paris11th Floor Lecture Hall
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Monday March 7, 2016
Time Description Speaker Location Abstracts Slides
8:30 - 8:55Registration11th Floor Collaborative Space
8:55 - 9:00WelcomeICERM Director11th Floor Lecture Hall
9:00 - 9:45Entropies on covers of compact manifoldsFrancois Ledrappier, University of Notre Dame Paris11th Floor Lecture Hall
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10:00 - 10:45Prime number theorems and holonomies for hyperbolic rational mapsHee Oh, Yale University11th Floor Lecture Hall
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11:00 - 11:30Coffee/Tea Break11th Floor Collaborative Space
11:30 - 12:15New developments in smooth rigidity of lattice actions.Federico Rodriguez Hertz, PSU11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch / Free Time
2:30 - 3:15Thurston eigenvalues- a spectral gapSarah Koch, University of Michigan, Ann Arbor11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45Continuity of core entropy of quadratic polynomialsGiulio Tiozzo, Yale University11th Floor Lecture Hall
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5:00 - 6:30Welcome Reception11th Floor Collaborative Space

Tuesday March 8, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Non-differentiability points for topological conjugaicies of countable branch Markov mapsThomas Jordan, University of Bristol11th Floor Lecture Hall
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10:00 - 10:45Non-uniform hyperbolicity, symbolic dynamics, and applicationsYuri Lima, University of Paris-Sud11th Floor Lecture Hall
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11:00 - 11:30Coffee/Tea Break11th Floor Collaborative Space
11:30 - 12:15Finiteness of measures maximizing the entropy for surface diffeomorphismsSylvain Crovisier, University of Paris11th Floor Lecture Hall
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12:30 - 12:40Group Photo in Lecture Hall11th Floor Lecture Hall
12:40 - 2:30Break for Lunch / Free Time
2:30 - 3:15Non-uniform specification properties, thermodynamic formalism, and towersVaughn Climenhaga, University of Houston11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45Unique equilibrium states for geodesic flows in nonpositive curvatureTodd Fisher, Brigham Young University11th Floor Lecture Hall
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Wednesday March 9, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Criteria for zero averages and applications in partially hyperbolic dynamics.Lorenzo Diaz, Pontifical Catholic University of Rio de Janeiro11th Floor Lecture Hall
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10:00 - 10:45Skeletons for transitive fibered mapsKatrin Gelfert, Federal University of Rio de Janeiro (UFRJ)11th Floor Lecture Hall
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11:00 - 11:30Coffee/Tea Break11th Floor Collaborative Space
11:30 - 12:15Universality of the large deviation principle in one-dimensional dynamicsYong Moo Chung, Hiroshima University11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch / Free Time 11th Floor Lecture Hall
2:30 - 3:15Decay of correlations in fast-slow partially hyperbolic systemsJacopo de Simoi, University of Toronto11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45Martingale methods in the study of almost everywhere convergence of ergodic seriesAi-Hua Fan, Université de Picardie Jules Verne11th Floor Lecture Hall
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Thursday March 10, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Quantum chaos and the thermodynamical formalismStephane Nonnenmacher, Université Paris-sud11th Floor Lecture Hall
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10:00 - 10:45Spectral gaps via additive combinatoricsSemyon Dyatlov, MIT11th Floor Lecture Hall
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11:00 - 11:30Coffee/Tea Break11th Floor Collaborative Space
11:30 - 12:15The spectrum of semi-classical transfer operator for expanding semi-flows with holes.Masato Tsujii, Kyushu University11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch / Free Time 11th Floor Lecture Hall
2:30 - 3:15Fourier transforms of measures on the Brownian graphJonathan Fraser, University of Manchester11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45Multifractal analysis of some families of random functions motivated by the study of the network trafficKaroly Simon, Budapest University of Technology and Economics11th Floor Lecture Hall
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Friday March 11, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Computation and inverse problems for linear response.Mark Pollicott, University of Warwick11th Floor Lecture Hall
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10:00 - 10:45On the fractal geometry of horseshoes in arbitrary dimensionsCarlos Gustavo Moreira, IMPA11th Floor Lecture Hall
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11:00 - 11:30Coffee/Tea Break11th Floor Collaborative Space
11:30 - 12:15New criteria for equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystemsPablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall
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12:30 - 1:15Sums of Cantor sets and convolutions of singular measuresAnton Gorodetski, University of California, Irvine11th Floor Lecture Hall
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1:30 - 3:15Break for Lunch / Free Time 11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Monday March 14, 2016
Time Description Speaker Location Abstracts Slides
2:00 - 2:30Pi Day Coffee/Tea Break

Tuesday March 15, 2016
Time Description Speaker Location Abstracts Slides
1:15 - 2:15PD and Grad Student Lunch Check-inFood will be servedICERM Conference Room
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Wednesday March 16, 2016
Time Description Speaker Location Abstracts Slides
9:30 - 10:30Professional Development - Job applications in academia11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Thursday March 17, 2016
Time Description Speaker Location Abstracts Slides
2:30 - 3:15Research Seminar - FOURIER LAW FROM HAMILTONIAN DYNAMICSDomokos Szasz, Budapest University of Technology and Economics11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Friday March 18, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Monday March 21, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Tuesday March 22, 2016
Time Description Speaker Location Abstracts Slides
2:30 - 3:15Research Seminar- Thermodynamics for the Katok map.Samuel Senti, UFDR11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break10th Floor Collaborative Space (Library Side)

Wednesday March 23, 2016
Time Description Speaker Location Abstracts Slides
9:30 - 10:30Professional Development - Hiring Process11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Thursday March 24, 2016
Time Description Speaker Location Abstracts Slides
2:30 - 3:15Fractal Curvatures and Dynamical Systems.Martina Zahle, Friedrich-Schiller-Universitat11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Friday March 25, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Monday March 28, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Tuesday March 29, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Wednesday March 30, 2016
Time Description Speaker Location Abstracts Slides
9:30 - 10:30Professional Development - Papers and Journals11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Thursday March 31, 2016
Time Description Speaker Location Abstracts Slides
9:30 - 11:30Computer-assisted rigorous estimates for the probability of stochastic dynamics.Stefano Luzzatto, ICTP11th Floor Lecture Hall
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1:30 - 3:30Part 1. Interval analysis. Part 2. Automatic differentiationWarwick Tucker, Uppsala University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Friday April 1, 2016
Time Description Speaker Location Abstracts Slides
9:30 - 11:30Computability and complexity of Julia setsMichael Yampolsky, University of Toronto11th Floor Lecture Hall
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1:30 - 3:30Part 3. Computer-aided proofs.Warwick Tucker, Uppsala University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Monday April 4, 2016
Time Description Speaker Location Abstracts Slides
8:30 - 8:55Registration11th Floor Collaborative Space
8:55 - 9:00WelcomeICERM Director11th Floor Lecture Hall
9:00 - 9:35Universality for golden mean Siegel disksDenis Gaidashev, Uppsala University11th Floor Lecture Hall
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9:45 - 10:15Coffee/Tea Break11th Floor Collaborative Space
10:15 - 10:50Quasi-periodic solutions for state dependent delay equations.Rafael de la Llave, Georgia Tech11th Floor Lecture Hall
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11:00 - 11:35On the measure of the set of regular parameter values for the quadratic mapZbigniew Galias, AGH University of Science & Technology11th Floor Lecture Hall
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11:45 - 12:00Break
12:00 - 12:35Effective computation of expansivity rates in one-dimensional dynamicsPawel Pilarczyk, IST Austria11th Floor Lecture Hall
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12:45 - 3:00Break for Lunch / Free Time
3:00 - 3:35Linear Response- Formulae and Rigorous ApproximationsWael Bahsoun, Loughborough University11th Floor Lecture Hall
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3:45 - 4:15Coffee/Tea Break11th Floor Collaborative Space
4:15 - 4:50Estimating long-term behavior of periodically driven flows without trajectory integrationGary Froyland, University of New South Wales11th Floor Lecture Hall
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5:00 - 6:30Welcome Reception11th Floor Collaborative Space

Tuesday April 5, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:35Interactive theorem proving, automated reasoning, and dynamical systemsJeremy Avigad, Carnegie Mellon University11th Floor Lecture Hall
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9:45 - 10:15Coffee/Tea Break11th Floor Collaborative Space
10:15 - 10:50Conformal maps- Computability and ComplexityIlia Binder, University of Toronto11th Floor Lecture Hall
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11:00 - 11:35On computational aspects of the Feigenbaum fixed point of the period doubling renormalization.Artem Dudko, Stony Brook University11th Floor Lecture Hall
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11:45 - 12:00Break
12:00 - 12:35Computability and computational complexity in dynamical systems.Cristóbal Rojas, Universidad Andrés Bello (Santiago)11th Floor Lecture Hall
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12:45 - 3:00Break for Lunch / Free Time
3:00 - 3:35Dynamic Signatures Generated by Regulatory NetworksKonstantin Mischaikow, Rutgers University11th Floor Lecture Hall
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3:45 - 4:15Coffee/Tea Break11th Floor Collaborative Space
4:15 - 4:50Conley Index Theory, Symbolic Dynamics, and EntropySarah Day, College of William and Mary11th Floor Lecture Hall
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Wednesday April 6, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:35Stochastic Arnold diffusion of deterministic systemsVadim Kaloshin, University of Maryland11th Floor Lecture Hall
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9:45 - 10:15Coffee/Tea Break11th Floor Collaborative Space
10:15 - 10:50Transition chains of invariant tori around L1 in the Sun-Earth systemPablo Roldán González, Instituto Tecnológico Autónomo de México (ITAM)11th Floor Lecture Hall
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11:00 - 11:35On rigorous verification of the crossed mapping conditionZin Arai, Hokkaido University11th Floor Lecture Hall
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11:45 - 12:00Break
12:00 - 12:35On the bifurcation of hyperbolic invariant manifolds- From Numerics to Rigorous results, and then back to Numerics.Jordi-Lluís Figueras, Uppsala University11th Floor Lecture Hall
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12:45 - 1:00Group Photo in Lecture Hall11th Floor Lecture Hall
1:00 - 3:00Break for Lunch / Free Time
3:00 - 5:00Collaboration and Work Time
3:45 - 4:15Coffee/Tea Break11th Floor Collaborative Space

Thursday April 7, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:35Periodic solutions for some hyperbolic PDEsHans Koch, University of Texas at Austin11th Floor Lecture Hall
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9:45 - 10:15Coffee/Tea Break11th Floor Collaborative Space
10:15 - 10:50Rigorous estimation of the speed of convergence to equilibrium.Stefano Galatolo, University of Pisa11th Floor Lecture Hall
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11:00 - 11:35Introduction to the software package `Dynamics Explorer' for exploration of discrete dynamical systemsSuzanne Lynch Boyd, University of Wisconsin-Milwaukee11th Floor Lecture Hall
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11:45 - 12:00Break
12:00 - 12:35Sharp mixing rates via inducing w.r.t. general return timesDalia Terhesiu, University of Vienna11th Floor Lecture Hall
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12:45 - 3:00Break for Lunch / Free Time
3:00 - 3:35Computer-assisted proofs for periodic orbits of PDEsJean-Philippe Lessard, Université Laval11th Floor Lecture Hall
PDF
3:45 - 4:15Coffee/Tea Break11th Floor Collaborative Space
4:15 - 4:50Set-oriented computation in dynamicsKathrin Padberg-Gehle, Technische Universität Dresden11th Floor Lecture Hall
PDF

Friday April 8, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:35Interval Analysis Methods for Elliptic Boundary Value ProblemsIrina Mitrea, Temple University11th Floor Lecture Hall
PDF
9:45 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:05Rigorous Approximation of stationary Measures and Convergence to Equilbrium for Iterated Function SystemsMaurizio Monge, Federal University of Rio de Janeiro (UFRJ)11th Floor Lecture Hall
PDF
PDF
11:15 - 11:50Some practical and theorical issues in computational ergodic theoryIsaia Nisoli, Federal University of Rio de Janeiro (UFRJ)11th Floor Lecture Hall
PDF
12:00 - 12:15Break
12:15 - 12:50Minkowski's question mark function and measure.Giorgio Mantica, Universita' dell'Insubria11th Floor Lecture Hall
PDF
PDF
1:00 - 3:00Break for Lunch / Free Time
3:00 - 3:35Melnikov-type method for splitting of separatrices for an explicit range of small parameterPiotr Zgliczynski, Jagiellonian University11th Floor Lecture Hall
PDF
3:45 - 4:15Coffee/Tea Break11th Floor Collaborative Space
4:15 - 4:50Rigorous integration of dissipative PDEs revisited- chaos in the Kuramoto-Sivashinsky equations.Daniel Wilczak, Jagiellonian University11th Floor Lecture Hall
PDF

Monday April 11, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Tuesday April 12, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Wednesday April 13, 2016
Time Description Speaker Location Abstracts Slides
9:30 - 10:30Professional Development - Grant Proposals11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Thursday April 14, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Friday April 15, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Monday April 18, 2016
Time Description Speaker Location Abstracts Slides
12:00 - 1:00Python Boot Camp (Not open to the public)Royal Wang, Brown University10th Floor Seminar Room
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Tuesday April 19, 2016
Time Description Speaker Location Abstracts Slides
2:30 - 3:15Topological Entropy of Maps with Low SmoothnessPeter Hazard, Uppsala University11th Floor Lecture Hall
PDF
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Wednesday April 20, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Thursday April 21, 2016
Time Description Speaker Location Abstracts Slides
2:30 - 3:15V-variable FractalsÖrjan Stenflo, Uppsala University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Friday April 22, 2016
Time Description Speaker Location Abstracts Slides
12:00 - 1:00Python Boot Camp (Not open to the public)Royal Wang, Brown University11th Floor Lecture Hall
1:00 - 1:15Break11th Floor Collaborative Space
1:15 - 2:15Python Boot Camp (Not open to the public)Royal Wang, Brown University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Monday April 25, 2016
Time Description Speaker Location Abstracts Slides
12:00 - 1:00Python Boot Camp (Not open to the public)Royal Wang, Brown University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Tuesday April 26, 2016
Time Description Speaker Location Abstracts Slides
2:30 - 3:15A smooth perturbation of Furstenberg's theorem on times-m invariant setsMichael Hochman, The Hebrew University of Jerusalem11th Floor Lecture Hall
PDF
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Wednesday April 27, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Thursday April 28, 2016
Time Description Speaker Location Abstracts Slides
12:00 - 1:00Python Boot Camp (Not open to the public)Royal Wang, Brown University11th Floor Lecture Hall
2:30 - 3:15Hausdorff dimension for some hyperbolic attractors with overlaps.Karoly Simon, Budapest University of Technology and Economics11th Floor Lecture Hall
PDF
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Friday April 29, 2016
Time Description Speaker Location Abstracts Slides
12:00 - 1:00Python Boot Camp (Not open to the public)Royal Wang, Brown University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Monday May 2, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Tuesday May 3, 2016
Time Description Speaker Location Abstracts Slides
2:30 - 3:15Computation of normally hyperbolic invariant manifoldsMarta Candell, ICERM11th Floor Lecture Hall
PDF
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Wednesday May 4, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Thursday May 5, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

Friday May 6, 2016
Time Description Speaker Location Abstracts Slides
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

= speaker   = poster presenter

Schedule For Mini-Courses:

Wednesday, February 10th

11:00 - 11:45 Mini-course: A class of random Cantor measures, with applications Pablo Shmerkin, Universidad Torcuato Di Tella 11th Floor Lecture Hall
11:45 - 12:15 Coffee Break 11th Floor Collaborative Space
12:15 - 1:00 Mini-course: A class of random Cantor measures, with applications Pablo Shmerkin, Universidad Torcuato Di Tella 11th Floor Lecture Hall
1:15 - 3:30 Break for Lunch
3:30 - 4:15 Mini-course: Schmidt games and fractals in dynamics and number theory Barak Weiss, Tel Aviv University 11th Floor Lecture Hall
4:15 - 4:45 Coffee Break 11th Floor Collaborative Space
4:45 - 5:30 Mini-course: Schmidt games and fractals in dynamics and number theory Barak Weiss, Tel Aviv University 11th Floor Lecture Hall

Thursday, February 11th

11:00 - 11:45 Mini-course: Schmidt games and fractals in dynamics and number theory Dmitry Kleinbock, Brandeis University 11th Floor Lecture Hall
11:45 - 12:15 Coffee Break 11th Floor Collaborative Space
12:15 - 1:00 Mini-course: Schmidt games and fractals in dynamics and number theory Dmitry Kleinbock, Brandeis University 11th Floor Lecture Hall
1:15 - 3:30 Break for Lunch
3:30 - 4:15 Mini-course: Equidistribution and dimension via additive combinatorics Elon Lindenstrauss, The Hebrew University of Jerusalem 11th Floor Lecture Hall
4:15 - 4:45 Coffee Break 11th Floor Collaborative Space
4:45 - 5:30 Mini-course: Equidistribution and dimension via additive combinatorics Elon Lindenstrauss, The Hebrew University of Jerusalem 11th Floor Lecture Hall
5:30 - 6:30 Light Reception11th Floor Collaborative Space

Friday, February 12th

11:00 - 11:45 Mini-course: A class of random Cantor measures, with applications Pablo Shmerkin, Universidad Torcuato Di Tella 11th Floor Lecture Hall
11:45 - 12:15 Coffee Break 11th Floor Collaborative Space
12:15 - 1:00 Mini-course: A class of random Cantor measures, with applications Pablo Shmerkin, Universidad Torcuato Di Tella 11th Floor Lecture Hall
1:15 - 3:30 Break for Lunch
3:30 - 4:15 Mini-course: Equidistribution and dimension via additive combinatorics Elon Lindenstrauss, The Hebrew University of Jerusalem 11th Floor Lecture Hall
4:15 - 4:45 Coffee Break 11th Floor Collaborative Space
4:45 - 5:30 Mini-course: Equidistribution and dimension via additive combinatorics Elon Lindenstrauss, The Hebrew University of Jerusalem 11th Floor Lecture Hall


Wednesday, March 2nd

2:00 - 2:45 Mini-course: Symbolic dynamics for hyperbolic systems Yuri Lima, University of Paris11th Floor Lecture Hall
Coffee Break 11th Floor Collaborative Space
3:30 - 4:15 Mini-course: Symbolic dynamics for hyperbolic systems Yuri Lima, University of Paris11th Floor Lecture Hall

Thursday, March 3rd

2:00 - 2:45 Mini-course: Microlocal techniques for hyperbolic dynamicsSemyon Dyatlov, MIT11th Floor Lecture Hall
3:00 - 3:30 Coffee Break 11th Floor Collaborative Space
3:30 - 4:15 Mini-course: Microlocal techniques for hyperbolic dynamicsSemyon Dyatlov, MIT11th Floor Lecture Hall

Friday, March 4th

1:30 - 2:15 Mini-course: Multifractal analysis, large deviations and Fourier transforms
for countable branch expanding maps
Thomas Jordan, University of Bristol11th Floor Lecture Hall
2:30 - 3:00 Coffee Break 11th Floor Collaborative Space
3:00 - 3:45Mini-course: Multifractal analysis, large deviations and Fourier transforms
for countable branch expanding maps
Thomas Jordan, University of Bristol11th Floor Lecture Hall