125 citations · 859 across the 68 of their papers we have counts for
Showing 2014 · math-phShow all
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math-ph2014★ 21 cited
Quadratic and rate-independent limits for a large-deviations functional
Giovanni A. Bonaschi, Mark A. Peletier
We construct a stochastic model showing the relationship between noise, gradient flows and rate-independent systems. The model consists of a one-dimensional birth-death process on…
math-ph2014★ 25 cited
Large Deviations in Stochastic Heat-Conduction Processes Provide a Gradient-Flow Structure for Heat Conduction
Mark A. Peletier, Frank Redig, Kiamars Vafayi
We consider three one-dimensional continuous-time Markov processes on a lattice, each of which models the conduction of heat: the family of Brownian Energy Processes with parameter…
math-ph2014★ 34 cited
Variational Modelling: Energies, gradient flows, and large deviations
Mark A. Peletier
These are lecture notes for various Summer and Winter schools that I have given. The notes describe the methodology called Variational Modelling, and focus on the application to th…