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Friz P., König W., Mukherjee C., Olla S. (Eds.) Probability and Analysis in Interacting Physical Systems: In Honor of S.R.S. Varadhan, Berlin, August, 2016

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Friz P., König W., Mukherjee C., Olla S. (Eds.) Probability and Analysis in Interacting Physical Systems: In Honor of S.R.S. Varadhan, Berlin, August, 2016
Springer, 2019. — 303 p. — (Springer Proceedings in Mathematics & Statistics 283). — ISBN 978-3-030-15337-3.
This Festschrift on the occasion of the 75th birthday of S.R.S. Varadhan, one of the most influential researchers in probability of the last fifty years, grew out of a workshop held at the Technical University of Berlin, 15–19 August, 2016. This volume contains ten research articles authored by several of Varadhan's former PhD students or close collaborators. The topics of the contributions are more or less closely linked with some of Varadhan's deepest interests over the decades: large deviations, Markov processes, interacting particle systems, motions in random media and homogenization, reaction-diffusion equations, and directed last-passage percolation.
The articles present original research on some of the most discussed current questions at the boundary between analysis and probability, with an impact on understanding phenomena in physics. This collection will be of great value to researchers with an interest in models of probability-based statistical mechanics.
Table of contents
Yang–Mills for Probabilists
Multiscale Systems, Homogenization, and Rough Paths
The Deterministic and Stochastic Shallow Lake Problem
Independent Particles in a Dynamical Random Environment
Stable Limit Laws for Reaction-Diffusion in Random Environment
Quenched Central Limit Theorem for the Stochastic Heat Equation in Weak Disorder
GOE and Airy2→1
Marginal Distribution via Symplectic Schur Functions
A Large Deviations Principle for the Polar Empirical Measure in the Two-Dimensional Symmetric Simple Exclusion Process
On the Growth of a Superlinear Preferential Attachment Scheme
A Natural Probabilistic Model on the Integers and Its Relation to Dickman-Type Distributions and Buchstab’s Function
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