{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","description":"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.","keywords":[{"id":"https://openalex.org/keywords/interacting-particle-systems","display_name":"interacting particle systems","score":0.5871},{"id":"https://openalex.org/keywords/large-deviations","display_name":"large deviations","score":0.2376},{"id":"https://openalex.org/keywords/branching-processes","display_name":"branching processes","score":0.5102},{"id":"https://openalex.org/keywords/scaling-limits","display_name":"scaling limits","score":0.4768},{"id":"https://openalex.org/keywords/random-walk-in-random-environment","display_name":"random walks in random environments","score":0.8553},{"id":"https://openalex.org/keywords/random-environment","display_name":"random environment","score":0.5019},{"id":"https://openalex.org/keywords/random-walks-on-graphs","display_name":"random walks on graphs","score":0.4037},{"id":"https://openalex.org/keywords/hydrodynamic-limit","display_name":"hydrodynamic limit","score":0.3618},{"id":"https://openalex.org/keywords/local-time","display_name":"local time","score":0.3941},{"id":"https://openalex.org/keywords/birth-death-processes","display_name":"birth-death processes","score":0.2463},{"id":"https://openalex.org/keywords/gibbs-measures","display_name":"Gibbs measures","score":0.27},{"id":"https://openalex.org/keywords/branching-random-walk","display_name":"branching random walk","score":0.8576},{"id":"https://openalex.org/keywords/random-trees","display_name":"random trees","score":0.3436},{"id":"https://openalex.org/keywords/schramm-loewner-evolution","display_name":"Schramm-Loewner evolution","score":0.7829},{"id":"https://openalex.org/keywords/galton-watson-process","display_name":"Galton-Watson process","score":0.7526},{"id":"https://openalex.org/keywords/totally-asymmetric-simple-exclusion-process","display_name":"totally asymmetric simple exclusion process","score":0.7242},{"id":"https://openalex.org/keywords/extinction-probability","display_name":"extinction probability","score":0.3805},{"id":"https://openalex.org/keywords/critical-branching-processes","display_name":"critical branching processes","score":0.9067},{"id":"https://openalex.org/keywords/rate-function","display_name":"rate function","score":0.3382},{"id":"https://openalex.org/keywords/critical-probability","display_name":"critical probability","score":0.6321},{"id":"https://openalex.org/keywords/simple-random-walk","display_name":"simple random walk","score":0.6818},{"id":"https://openalex.org/keywords/contact-process","display_name":"contact process","score":0.3951},{"id":"https://openalex.org/keywords/first-passage-percolation","display_name":"first-passage percolation","score":0.8624},{"id":"https://openalex.org/keywords/random-planar-maps","display_name":"random planar maps","score":0.7186},{"id":"https://openalex.org/keywords/supercritical-branching-processes","display_name":"supercritical branching processes","score":0.9248}],"legacy_keywords":"Scaling Limits; Interacting Particle Systems; Conformal Invariance; Nonequilibrium Statistical Mechanics; Random Walks; Percolation Models; Coalescent Processes; Gaussian Free Fields; Branching Processes; Stochastic Loewner Evolution","ids":{"openalex":"https://openalex.org/T11152","wikipedia":"https://en.wikipedia.org/wiki/Interacting_particle_system"},"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals"},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology"},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research"},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics"},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems"},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory"},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems"},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry"},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories"},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis"},{"id":"https://openalex.org/T14500","display_name":"Advanced Mathematical Theories"}],"works_count":72934,"cited_by_count":944704,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T11152","updated_date":"2026-10-21T03:01:35","created_date":"2024-01-23T15:27:09"}