Organizing Committee
Abstract

This workshop will focus on the theoretical insights developed via illustration, visualization, and computational experiment in dynamical systems and probability theory. Some topics from complex dynamics include: dynamical moduli spaces and their dynamically-defined subvarieties, degenerations of dynamical systems as one moves toward the boundary of moduli space, and the structure of algebraic data coming from a family of dynamical systems. In classical dynamical systems, some topics include: flows on hyperbolic spaces and Lorentz attractors, simple physical systems like billiards in two and three dimensional domains, and flows on moduli spaces. In probability theory, the workshop features: random walks and continuous time random processes like Brownian motion, SLE, and scaling limits of discrete systems.

This workshop is partially funded by the Alfred P. Sloan Foundation award G-2019-11406 and supported by a Simons Foundation Targeted Grant to Institutes.

Image for "Illustrating Dynamics and Probability"
A stable matching in the plane.
Image credit: Alexander E. Holroyd.
Picture based on research by Christopher Hoffman, Alexander Holroyd and Yuval Peres.

Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Workshop Schedule

Monday, November 11, 2019
TimeEventLocationMaterials
8:30 - 8:55am ESTRegistration - ICERM 121 South Main Street, Providence RI 0290311th Floor Collaborative Space 
8:55 - 9:00am ESTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am ESTAesthetic Application of the Ising Model - George Legrady, UCSB11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTA Random Walk Runs Through It- A Portfolio of Probabilistic Pictures - Chris Bishop, Stony Brook University11th Floor Lecture Hall
11:30 - 12:15pm ESTOn Hyperbolicity and Partial Hyperbolicity in the Henon Family - Raluca Tanase, Institute for Mathematics of the Romanian Academy11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
1:00 - 2:00pm ESTSage Working Group - Samuel11th Floor Conference Room 
2:30 - 3:15pm ESTProgrammable Matter- 3D printing a metric to direct shape transformation - Sabetta Matsumoto, Georgia Institute of Technology11th Floor Lecture Hall
3:30 - 4:15pm ESTPermutons - Peter Winkler, Dartmouth - MoMath11th Floor Lecture Hall
4:30 - 6:00pm ESTWelcome Reception11th Floor Collaborative Space 
6:00 - 7:00pm ESTMath + Art Panel11th Floor Lecture Hall 
Tuesday, November 12, 2019
TimeEventLocationMaterials
9:00 - 9:45am ESTA Riemannian metric and Hausdorff dimension on the Mandelbrot set - Yan Mary He, University of Toronto - Luxembourg11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTRandom walks with local memory - Lionel Levine, Cornell University11th Floor Lecture Hall
11:30 - 12:15pm ESTSiegel disks for complex Henon maps - Remus Radu, Institute for Mathematics of the Romanian Academy11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:00 - 2:45pm ESTWhen a complex dynamicist tries to draw Kleinian groups - Arnaud Chéritat, CNRS - Institut de Mathématiques de Toulouse11th Floor Lecture Hall
3:00 - 4:30pm ESTPoster Session & Coffee/Tea Break11th Floor Collaborate Space 
Wednesday, November 13, 2019
TimeEventLocationMaterials
9:00 - 9:45am ESTRaytracing in hyperbolic 3-manifolds and link complements - Matthias Görner, Pixar Animation Studios11th Floor Lecture Hall
9:45 - 9:55am ESTWorkshop Group Photo  
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTFinding tiling spaces in the most curious places - Dina Buric, University of Victoria11th Floor Lecture Hall
11:30 - 12:15pm ESTCyber Craft- Embodied practices in Art & Science - Afroditi Psarra, Digital Arts and Experimental Media (DXARTS), University of Washington11th Floor Lecture Hall
12:30 - 1:30pm ESTLunch Break/ Free Time  
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
1:00 - 2:00pm ESTSage Working Group - Samuel11th Floor Conference Room 
2:30 - 3:15pm ESTConfessions of an Experimental Mathematician, or How to Appear Smarter than You Really are by Being Good at Coding - Dan Romik, University of California, Davis11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborate Space 
4:00 - 4:45pm ESTLightning Talks11th Floor Lecture Hall 
Thursday, November 14, 2019
TimeEventLocationMaterials
9:00 - 9:45am ESTThe zipper algorithm for conformal mapping - Steffen Rhode, University of Washington11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTApollonian structure in the Abelian Sandpile - Wesley Pegden, Carnegie Mellon University11th Floor Lecture Hall
11:30 - 12:15pm ESTMatings of (Cubic) Polynomials - Tom Sharland, University of Rhode Island11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTWell Calculated Serendipity- A Techno-Ceramist's Adventures in Mathematics - Timea Tihanyi, University of Washington - Slip Rabbit Studio11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborate Space 
4:00 - 4:45pm ESTOn the real entropy of quadratic rational maps - Khashayar Filom, Northwestern University11th Floor Lecture Hall
Friday, November 15, 2019
TimeEventLocationMaterials
9:00 - 9:45am ESTOf polynomials, bagels, and teapots - Giulio Tiozzo, University of Toronto11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTUsing computer graphics to develop research conjectures about Thurston's Master Teapot - Kathryn Lindsey, Boston College11th Floor Lecture Hall
11:30 - 12:15pm ESTProblem Session - Workshop Organizers11th Floor Lecture Hall 
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:00 - 3:00pm ESTSemester Program Organizers Meeting  
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborate Space 

Associated Semester Workshops

Illustrating Mathematics
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Program Opener: Meet, Make and Design
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Math + Art Panel
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Illustrating Geometry and Topology
Image for "Illustrating Geometry and Topology"
Math + Art Panel
Image for "Math + Art Panel"
Computational Textiles Working Group
Image for "Computational Textiles Working Group"
Math + Art Panel
Image for "Math + Art Panel"
Illustrating Number Theory and Algebra
Image for "Illustrating Number Theory and Algebra"
Math + Art Panel
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Math + Art Panel
Image for "Math + Art Panel"

Lecture Videos

Of polynomials, bagels, and teapots

Giulio Tiozzo
University of Toronto
November 15, 2019

Matings of (Cubic) Polynomials

Thomas Sharland
University of Rhode Island
November 14, 2019

Apollonian structure in the Abelian Sandpile

Wesley Pegden
Carnegie Mellon University
November 14, 2019

The zipper algorithm for conformal mapping

Steffen Rohde
University of Washington
November 14, 2019

Cyber Craft- Embodied practices in Art & Science

Afroditi Psarra
University of Washington
November 13, 2019

When a complex dynamicist tries to draw Kleinian groups

Arnaud Chéritat
Institut de Mathématiques de Toulouse
November 12, 2019

Random walks with local memory

Lionel Levine
Cornell University
November 12, 2019

Permutons

Peter Winkler
Dartmouth College
November 11, 2019

Aesthetic Application of the Ising Model

George Legrady
University of California, Santa Barbara
November 11, 2019