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PART 4: ENTROPY, DIRICHLET FORM, AND AVERAGING - math arizona

PART 4: ENTROPY, DIRICHLET FORM, AND AVERAGING - math arizona 2025

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The document discusses the zero-range process, a mass conservative interacting particle system, focusing on concepts such as entropy, Dirichlet forms, and an averaging principle necessary for approximating nonlinear terms in empirical measures. It introduces relative entropy and its properties, explores the relationship between entropy and Markov chains, and outlines the derivation of hydrodynamical equations associated with these processes. The document also details the structure of zero-range models, their coupling properties, and presents assumptions leading to results about hydrodynamic limits.

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