Entropy, Large Deviations, and Scaling Limits

DOI10.1002/cpa.21485zbMath1290.60108OpenAlexW1682534706MaRDI QIDQ5406688

Srinivasa R. S. Varadhan

Publication date: 2 April 2014

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.21485

zbMATH Keywords

field variablesbuilt-in noiselarge systems of interacting particles

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items (2)

Large-Deviation Principle for Interacting Brownian Motions ⋮ A conversation with S. R. S. Varadhan

Cites Work

• Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion
• Nonlinear diffusion limit for a system with nearest neighbor interactions
• Hydrodynamic limit for attractive particle systems on \(\mathbb{Z}{}^ d\)
• Large deviations for the symmetric simple exclusion process in dimensions \(d\geqq 3\)
• Hydrodynamical limit for a Hamiltonian system with weak noise
• Self-diffusion for Brownian motions with local interaction
• Scaling limits for interacting diffusions
• Relative entropy and hydrodynamics of Ginzburg-Landau models
• Stochastic homogenization of Hamilton-Jacobi-Bellman equations
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
• Diffusion of color in the simple exclusion process
• Propagation of chaos for symmetric simple exclusions
• Homogenization of Hamilton‐Jacobi‐Bellman equations with respect to time‐space shifts in a stationary ergodic medium

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