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 > Probability > Large deviations for out of equilibrium correlations in the symmetric simple exclusion process

## Large deviations for out of equilibrium correlations in the symmetric simple exclusion processAdd to your list(s) Download to your calendar using vCal - Benoit Dagallier (Statslab)
- Tuesday 21 February 2023, 14:00-15:00
- MR12, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Perla Sousi. For finite size Markov chains, the probability that a time-averaged observable take an anomalous value in the long time limit was quantified in a celebrated result by Donsker and Varadhan. In the study of interacting particle systems, one is interested not only in the large time limit, but also in large system sizes. In this second limit, observables of the chain each live at different scales, and understanding how scales decouple is necessary to take the limit. In a joint work with Thierry Bodineau (https://arxiv.org/abs/2212.11561), we study a paradigmatic example of out of equilirium interacting particle systems: the one-dimensional symmetric simple exclusion process connected with reservoirs of particles at different density. We focus on the scale of two point correlations and obtain the long time, large system size limits on the probability of observing anomalous correlations. This is done through quantitative, non-asymptotic estimates at the level of the dynamics. The key ingredient is a precise approximation of the dynamics and its invariant measure (not explicitly known), that is of independent interest. The quality of this approximation is controlled through relative entropy bounds, making use of recent results of Jara and Menezes (https://arxiv.org/abs/1810.09526). This talk is part of the Probability series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS info aggregator
- DPMMS lists
- Hanchen DaDaDash
- Interested Talks
- MR12, Centre for Mathematical Sciences
- Probability
- School of Physical Sciences
- Statistical Laboratory info aggregator
- bld31
Note that ex-directory lists are not shown. |
## Other listsCISA Panel on Political Parties Profitable business investment proposal, notify me if interested John Harrison and the solution of the Longitude problem## Other talksLocal Barriers, Not Cooperative Effects, Make Glasses Solid Recovering DNA and proteins from ancient books to explore livestock management and craft Climate Stories from Yew Trees Furkan Ozturk - Magnetic Fields and Solving the Chirality Problem Breaking Rules: Motivation and Morality in Intimate Partner Violence A universal method for the study of transformable waves in metamaterials. |