5 papers
Atomic limits of empirical measures of interacting particle systems with self-duality
Mario Ayala, Nicolas Dirr, Johannes Zimmer
We study the fixed-particle limit of empirical measures for a unified self-dual family of conservative particle systems on : independent random walkers, the symmetric…
Computing Extinction Barriers in a Quorum-Sensing Reaction Network
Mario Ayala, Johannes Zimmer
We introduce a simple reaction-network model of a quorum-sensing population that couples the cell density to the signal density . In the four-channel cell-signal network stu…
Entropy Production and Reversibility Criteria for Stochastic Evolution Equations
Jinqiao Duan, Ao Zhang, Johannes Zimmer
This paper develops a path-space theory of entropy production for a class of stochastic evolution equations on infinite-dimensional Hilbert spaces. Since such spaces have no canoni…
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…
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…