16 citations · 31 across the 9 of their papers we have counts for
9 papers
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…
Anisothermal Chemical Reactions: Onsager-Machlup and Macroscopic Fluctuation Theory
D. R. Michiel Renger
We study a micro and macroscopic model for chemical reactions with feedback between reactions and temperature of the solute. The first result concerns the quasipotential as the lar…
Gradient flows for bounded linear evolution equations
D. R. Michiel Renger, Stefanie Schindler
We study linear evolution equations in separable Hilbert spaces defined by a bounded linear operator. We answer the question which of these equations can be written as a gradient f…
Variational structures beyond gradient flows: a macroscopic fluctuation-theory perspective
Robert I. A. Patterson, D. R. Michiel Renger, Upanshu Sharma
Macroscopic equations arising out of stochastic particle systems in detailed balance (called dissipative systems or gradient flows) have a natural variational structure, which can…
Stein Variational Gradient Descent: many-particle and long-time asymptotics
Nikolas Nüsken, D. R. Michiel Renger
Stein variational gradient descent (SVGD) refers to a class of methods for Bayesian inference based on interacting particle systems. In this paper, we consider the originally propo…
Fast reaction limits via -convergence of the Flux Rate Functional
Mark A. Peletier, D. R. Michiel Renger
We study the convergence of a sequence of evolution equations for measures supported on the nodes of a graph. The evolution equations themselves can be interpreted as the forward K…
Dynamical Phase Transitions for Flows on Finite Graphs
Davide Gabrielli, D. R. Michiel Renger
We study the time-averaged flow in a model of particles that randomly hop on a finite directed graph. In the limit as the number of particles and the time window go to infinity but…
Orthogonality of Fluxes in General Nonlinear Reaction Networks
Johannes Zimmer, D. R. Michiel Renger
We consider the chemical reaction networks and study currents in these systems. Reviewing recent decomposition of rate functionals from large deviation theory for Markov processes,…
On microscopic origins of generalized gradient structures
Matthias Liero, Alexander Mielke, Mark A. Peletier +1
Classical gradient systems have a linear relation between rates and driving forces. In generalized gradient systems we allow for arbitrary relations derived from general non-quadra…