2 papers
math.PR2025
Reversibility, covariance and coarse-graining for Langevin dynamics: On the choice of multiplicative noise
Mario Ayala, Nicolas Dirr, Grigorios A. Pavliotis +1
We study the interplay between reversibility, geometry, and the choice of multiplicative noise (in particular Itô, Stratonovich, Klimontovich) in stochastic differential equations…
math.PR2024
Hydrodynamic limits and non-equilibrium fluctuations for the Symmetric Inclusion Process with long jumps
Mario Ayala, Johannes Zimmer
We consider a d-dimensional symmetric inclusion process (SIP), where particles are allowed to jump arbitrarily far apart. We establish both the hydrodynamic limit and non-equilibri…