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Stochastic processes and statistical mechanics

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Scope of this subject

This cluster of papers explores the scaling limits, conformal invariance, and nonequilibrium statistical mechanics of interacting particle systems, including random walks, percolation models, coalescent processes, and branching processes. It also delves into the properties of Gaussian free fields and stochastic Loewner evolution.

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Research vocabulary

interacting particle systems; large deviations; branching processes; scaling limits; random walks in random environments; random environment; random walks on graphs; hydrodynamic limit; local time; birth-death processes; Gibbs measures; branching random walk; random trees; Schramm-Loewner evolution; Galton-Watson process; totally asymmetric simple exclusion process; extinction probability; critical branching processes; rate function; critical probability; simple random walk; contact process; first-passage percolation; random planar maps; supercritical branching processes

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Numeric address and provenance

Morton address: 36240764397559921 · morton4x16-v1

Coordinates: (3, 26, 2610, 11152). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.

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