Skip to content. | Skip to navigation

Personal tools

Theme for TIFR Centre For Applicable Mathematics, Bangalore


You are here: Home / Events / Random walks in mobile trap environments in Z d

Random walks in mobile trap environments in Z d

Siva Athreya (ICTS),Bangalore
Siva Athreya (ICTS),Bangalore
When Mar 21, 2023
from 02:00 PM to 03:00 PM
Where TIFR-CAM (First Floor Auditorium)
Add event to calendar vCal

Abstract We consider a random walk among a Poisson cloud of moving traps on Zd, where the walk is killed at a rate proportional to the number of traps occupying the same position. In dimension =1d=1, it is known that the annealed law of the random walk conditioned on survival up to time t is sub-diffusive. In this talk we show that in large enough dimension, this annealed law satisfies an invariance principle under diffusive scaling. Our proof is based on the theory of thermodynamic formalism, where we extend some classic results for Markov shifts with a potential of summable variation and a finite alphabet to the case of an uncountable non-compact alphabet. This is joint work with Alex Drewitz and Rongfeng Sun

Filed under: