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math.PR2023
Nonequilibrium Joint Fluctuations for Current and Occupation Time in The Symmetric Exclusion Process
Dirk Erhard, Tertuliano Franco, Tiecheng Xu
We provide a full description for the joint fluctuations of current and occupation time in the one-dimensional nonequilibrium simple symmetric exclusion process, furnishing explici…
math.PR2023
Strong large deviation principles for pair empirical measures of random walks in the Mukherjee-Varadhan topology
Dirk Erhard, Julien Poisat
In this paper we introduce a topology under which the pair empirical measure of a large class of random walks satisfies a strong Large Deviation principle. The definition of the to…