Topological structures of large-scale interacting systems via uniform functions and forms

DOI10.1017/fms.2024.61MaRDI QIDQ6646834

Makiko Sasada, Yukio Kametani, Kenichi Bannai

Publication date: 3 December 2024

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Diffusion processes (60J60) Equivariant homology and cohomology in algebraic topology (55N91) Topological and differential topological methods for problems in mechanics (70G40) Infinite graphs (05C63)

Cites Work

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• Macroscopic energy diffusion for a chain of anharmonic oscillators
• Hydrodynamic limit for two-species exclusion processes
• Nonlinear diffusion limit for a system with nearest neighbor interactions
• Diffusive limit of lattice gas with mixing conditions
• Fluctuation dissipation equation for lattice gas with energy
• Ends and free products of groups
• Diffusion of color in the simple exclusion process
• Hydrodynamical limit for a nongradient system: The generalized symmetric exclusion process
• Standard realizations of crystal lattices via harmonic maps
• Topological Crystallography
• Hydrodynamic Limit For An Active Exclusion Process

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