## Department of Mathematics

Indian Institute Of Technology Madras , Chennai

### Symbolic Dynamics with the shift spaces

#### Abstract :

Symbolic dynamics is a tool for analyzing general dynamical systems by discretizing space. Recall that, a set of infinite words over an alphabet $A$ is a shift space if it is closed with respect to the natural product topology of $A^N$ and invariant under the shift operator. In this talk, first we will introduce sub shifts of finite type and then will discuss symbolic dynamics, the process of modeling a topological or smooth dynamical system by a discrete space with the dynamics given by the shift operator. Some applications of symbolic dynamics shall be discussed.

Key Speaker Sivasankar Mohankumar, Research Scholar, Department of Mathematics, IIT Madras
Place NAC 519
Start Time 3:00 PM
Finish Time 4:00 PM