# PC Seminar: Conservative random walk and related topics

- Date: 16 February 2023, 10:15–11:15
- Location: Ångström Laboratory, Å64119
- Type: Seminar
- Lecturer: Stanislav Volkov, Lund University
- Organiser: Matematiska institutionen
- Contact person: Tiffany Lo

Welcome to this seminar held by Stanislav Volkov, Lund University, with the title "Conservative random walk and related topics".

*Abstract:* Consider the following modification of a simple random walk (SRW) on Z^d, d>=1. The usual SRW chooses its direction at random uniformly from all 2d possibilities at every moment of time. But now suppose that at time n=0,1,2,... the walk just keeps going in the same direction it was going previously, and only decides to update its direction with probability p_n, where p_n is a given (non-random) sequence. Is this walk recurrent/transient? What is its scaling limit? I am going to answer these questions during my talk.

Based on the joint work with János Engländer.

This is a seminar in our seminar series on Probability and Combinatorics (PC).