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.

Organizers:

Jayadev Athreya University of Washington

Alexander Holroyd University of Washington

Sarah Koch University of Michigan, Ann Arbor

Speakers:

Chris Bishop Stony Brook University

Arnaud Chéritat Institut de Mathématiques de Toulouse

Laura DeMarco Northwestern University

Janko Gravner University of California, Davis

Yan He University of Chicago

George Legrady University of California, Santa Barbara

Lionel Levine Cornell University

Kathryn Lindsey Boston College

Jason Miller University of Cambridge

Wesley Pegden Carnegie Mellon University

Afroditi Psarra University of Washington

Remus Radu University of Toronto

Steffen Rohde University of Washington

Dan Romik University of California, Davis

Raluca Tanase University of Toronto

Timea Tihanyi University of Washington

Giulio Tiozzo University of Toronto