DYNAMICS, SYMBOLIC DYNAMICS, DYNAMICAL NETWORKS

Series: 
Research Horizons Seminar
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
School of Mathematics - Georgia Institute of Technology

Hosts: Amey Kaloti and Ricardo Restrepo

An efficient (arguably the most efficient) way to study and describe dynamical systems with complex behavior is to code their orbits. To do so one considers a partition (physicists call it coarse graining) of the space of states (phase space) of the systems and identify location of a point with an element of such partition where this point belongs. . By doing so one gets an unified description of dynamical systems in Differential equations, Number theory, probability theory, Combinatorics, etc. I'll present an introduction to this Symbolic dynamics for interacting dynamical systems (dynamical networks) and formulate some open problems.This talk will also serve as a preparatory one for the next day Math Colloquium.