A stable matching in the plane Image credit: Alexander E. Holroyd Picture based on research by Christopher Hoffman, Alexander Holroyd, and Yuval Peres |
ICERM (The Institute for Computational and Experimental Research in Mathematics)
November 11-15
Brown University
Providence, Rhode Island
This workshop will focus on the theoretical insights developed via illustration, visualization, and computational experimentation in dynamical systems and probability theory.
Topics from complex dynamics:
- Dynamical moduli spaces and their dynamically-defined subvarieties
- Degenerations of dynamical systems as one moves toward the boundary of moduli space
- The structure of algebraic data coming from a family of dynamical systems
Topics from classical dynamical systems:
- Flows on hyperbolic spaces and Lorentz attractors
- Simple physical systems like billiards in two and three-dimensional domains
- 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.
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