![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Rongfeng Sun (National University of Singapore)
Tuesday 09 July 2024, 11:45-12:45
An Invariance Principle for a Random Walk Among Moving Traps
- 👤 Speaker: Rongfeng Sun (National University of Singapore)
- 📅 Date & Time: Tuesday 09 July 2024, 11:45 - 12:45
- 📍 Venue: Seminar Room 1, Newton Institute
Abstract
We consider a random walk among a Poisson cloud of moving traps on Z^d, where the walk is killed at a rate proportional to the number of traps occupying the same position. In dimension d=1, it was previously shown that under the annealed law of the random walk conditioned on survival up to time t,the walk is sub-diffusive. We show that in d>=6 and under diffusive scaling, this annealed law satisfies an invariance principle with a positive diffusion constant if the killing rate is small. Our proof is based on the theory of thermodynamic formalism, where we extend some classic results for Markov shifts with a finite alphabet and a potential of summable variation to the case of an uncountable non-compact alphabet. Based on joint work with S. Athreya and A. Drewitz.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
Included in Lists
- All CMS events
- bld31
- dh539
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
Note: Ex-directory lists are not shown.