COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > An Invariance Principle for a Random Walk Among Moving Traps

## An Invariance Principle for a Random Walk Among Moving TrapsAdd to your list(s) Download to your calendar using vCal - Rongfeng Sun (National University of Singapore)
- Tuesday 09 July 2024, 11:45-12:45
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. SSDW01 - Self-interacting processes 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. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsModern European History Workshop Veterinary anaesthesia Dobson Group - General Interest## Other talksStatistics Clinic Easter 2024 I Infinite sumsets in sets with positive density EMG reading group on Gopakuma-Vafa invariants. TBC Coffee Break |