Showing 2024Show all
3 papers · 1 filter
math.PR2024
Superdiffusive Scaling Limits for the Symmetric Exclusion Process with Slow Bonds
Dirk Erhard, Tertuliano Franco, Tiecheng Xu
In \cite{fgn1}, the hydrodynamic limit in the diffusive scaling of the symmetric simple exclusion process with a finite number of slow bonds of strength has been studied.…
math.PR2024
A strong large deviation principle for the empirical measure of random walks
Dirk Erhard, Tertuliano Franco, Joedson de Jesus Santana
In this article we show that the empirical measure of certain continuous time random walks satisfies a strong large deviation principle with respect to a topology introduced in~\ci…
math.PR2024
A Functional Central Limit Theorem for the General Brownian Motion on the Half-Line
Dirk Erhard, Tertuliano Franco, Milton Jara +1
In this work, we establish a Trotter-Kato type theorem. More precisely, we characterize the convergence in distribution of Feller processes by examining the convergence of their ge…