189 citations · 1.1k across the 48 of their papers we have counts for
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math.FA2013★ 125 cited
On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion
Alexander Mielke, D. R. Michiel Renger, Mark A. Peletier
Motivated by the occurrence in rate functions of time-dependent large-deviation principles, we study a class of non-negative functions that induce a flow, given by $\m…
math.AP2013★ 57 cited
Balanced Viscosity (BV) solutions to infinite-dimensional rate-independent systems
Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
Balanced Viscosity solutions to rate-independent systems arise as limits of regularized rate-independent flows by adding a superlinear vanishing-viscosity dissipation. We address t…