6 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…
Hydrodynamic limits of collisions and fluxes in the exclusion process
Mario Ayala, D. R. Michiel Renger
We extend the usual hydrodynamic description of the symmetric exclusion process by keeping track of collision events corresponding to jumps into already occupied sites, thereby qua…
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…
Mosco convergence of independent particles and applications to particle systems with self-duality
Mario Ayala
We consider a sequence of Markov processes with Dirichlet forms converging in the Mosco sense of Kuwae and Shioya to the Dirichlet for…