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.

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

Workshop Schedule

Monday, November 11, 2019
TimeEventLocationMaterials
8:30 - 8:55Registration - ICERM 121 South Main Street, Providence RI 0290311th Floor Collaborative Space 
8:55 - 9:00Welcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45Aesthetic Application of the Ising Model - George Legrady, UCSB11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15A Random Walk Runs Through It- A Portfolio of Probabilistic Pictures - Chris Bishop, Stony Brook University11th Floor Lecture Hall
11:30 - 12:15On Hyperbolicity and Partial Hyperbolicity in the Henon Family - Raluca Tanase, Institute for Mathematics of the Romanian Academy11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
1:00 - 2:00Sage Working Group - Samuel11th Floor Conference Room 
2:30 - 3:15Programmable Matter- 3D printing a metric to direct shape transformation - Sabetta Matsumoto, Georgia Institute of Technology11th Floor Lecture Hall
3:30 - 4:15Permutons - Peter Winkler, Dartmouth - MoMath11th Floor Lecture Hall
4:30 - 6:00Welcome Reception11th Floor Collaborative Space 
6:00 - 7:00Math + Art Panel11th Floor Lecture Hall 
Tuesday, November 12, 2019
TimeEventLocationMaterials
9:00 - 9:45A Riemannian metric and Hausdorff dimension on the Mandelbrot set - Yan Mary He, University of Toronto - Luxembourg11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Random walks with local memory - Lionel Levine, Cornell University11th Floor Lecture Hall
11:30 - 12:15Siegel disks for complex Henon maps - Remus Radu, Institute for Mathematics of the Romanian Academy11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:00 - 2:45When a complex dynamicist tries to draw Kleinian groups - Arnaud Chéritat, CNRS - Institut de Mathématiques de Toulouse11th Floor Lecture Hall
3:00 - 4:30Poster Session & Coffee/Tea Break11th Floor Collaborate Space 
Wednesday, November 13, 2019
TimeEventLocationMaterials
9:00 - 9:45Raytracing in hyperbolic 3-manifolds and link complements - Matthias Görner, Pixar Animation Studios11th Floor Lecture Hall
9:45 - 9:55Workshop Group Photo  
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Finding tiling spaces in the most curious places - Dina Buric, University of Victoria11th Floor Lecture Hall
11:30 - 12:15Cyber Craft- Embodied practices in Art & Science - Afroditi Psarra, Digital Arts and Experimental Media (DXARTS), University of Washington11th Floor Lecture Hall
12:30 - 1:30Lunch Break/ Free Time  
12:30 - 2:30Break for Lunch / Free Time  
1:00 - 2:00Sage Working Group - Samuel11th Floor Conference Room 
2:30 - 3:15Confessions 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 - 4:00Coffee/Tea Break11th Floor Collaborate Space 
4:00 - 4:45Lightning Talks11th Floor Lecture Hall 
Thursday, November 14, 2019
TimeEventLocationMaterials
9:00 - 9:45The zipper algorithm for conformal mapping - Steffen Rhode, University of Washington11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Apollonian structure in the Abelian Sandpile - Wesley Pegden, Carnegie Mellon University11th Floor Lecture Hall
11:30 - 12:15Matings of (Cubic) Polynomials - Tom Sharland, University of Rhode Island11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Well Calculated Serendipity- A Techno-Ceramist's Adventures in Mathematics - Timea Tihanyi, University of Washington - Slip Rabbit Studio11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborate Space 
4:00 - 4:45On the real entropy of quadratic rational maps - Khashayar Filom, Northwestern University11th Floor Lecture Hall
Friday, November 15, 2019
TimeEventLocationMaterials
9:00 - 9:45Of polynomials, bagels, and teapots - Giulio Tiozzo, University of Toronto11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Using computer graphics to develop research conjectures about Thurston's Master Teapot - Kathryn Lindsey, Boston College11th Floor Lecture Hall
11:30 - 12:15Problem Session - Workshop Organizers11th Floor Lecture Hall 
12:30 - 2:30Break for Lunch / Free Time  
2:00 - 3:00Semester Program Organizers Meeting  
3:30 - 4:00Coffee/Tea Break11th Floor Collaborate Space 

Request Reimbursement

Acceptable Costs
  • 1 roundtrip between your home institute and ICERM
  • Flights on U.S. or E.U. airlines – economy class to either Providence airport (PVD) or Boston airport (BOS)
  • Ground Transportation to and from airports and ICERM.
Unacceptable Costs
  • Flights on non-U.S. or non-E.U. airlines
  • Flights on U.K. airlines
  • Seats in economy plus, business class, or first class
  • Change ticket fees of any kind
  • Multi-use bus passes
  • Meals or incidentals
Advance Approval Required
  • Personal car travel to ICERM from outside New England
  • Multiple-destination plane ticket; does not include layovers to reach ICERM
  • Arriving or departing from ICERM more than a day before or day after the program
  • Multiple trips to ICERM
  • Rental car to/from ICERM
  • Flights on a Swiss, Japanese, or Australian airlines
  • Arriving or departing from airport other than PVD/BOS or home institution's local airport
  • 2 one-way plane tickets to create a roundtrip (often purchased from Expedia, Orbitz, etc.)
Reimbursement Request Form

https://icerm.brown.edu/money/

Refer to the back of your ID badge for more information. Checklists are available at the front desk.

Reimbursement Tips
  • Scanned original receipts are required for all expenses
  • Airfare receipt must show full itinerary and payment
  • ICERM does not offer per diem or meal reimbursement
  • Allowable mileage is reimbursed at prevailing IRS Business Rate and trip documented via pdf of Google Maps result
  • Keep all documentation until you receive your reimbursement!
Reimbursement Timing

6 - 8 weeks after all documentation is sent to ICERM. All reimbursement requests are reviewed by numerous central offices at Brown who may request additional documentation.

Reimbursement Deadline

Submissions must be received within 30 days of ICERM departure to avoid applicable taxes. Submissions after thirty days will incur applicable taxes. No submissions are accepted more than six months after the program end.

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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
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Math + Art Panel
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Computational Textiles Working Group
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Math + Art Panel
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Illustrating Number Theory and Algebra
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Math + Art Panel
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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