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math.PR2025
Fluctuation exponents of the open KPZ equation in the maximal current phase
Andres A. Contreras Hip, Sayan Das, Antonios Zitridis
We consider the open KPZ equation on the interval with Neumann boundary conditions depending on parameters (the so-called maximal current phase). For $L…
math.PR2024
Concentration bounds for stochastic systems with singular kernels
Joe Jackson, Antonios Zitridis
This note is concerned with weakly interacting stochastic particle systems with possibly singular pairwise interactions. In this setting, we observe a connection between entropic p…
math.PR2023
Homogenization of conditional slow-fast McKean-Vlasov SDEs
Antonios Zitridis
We study a fully-coupled system of conditional slow-fast McKean-Vlasov Stochastic Differential Equations that exhibit full dependence on both the slow and fast components, as well…