Remarks on invariance of population distributions for systems with equivariant internal dynamics

2011/08/16 by Eduardo D. Sontag, Sontag, Eduardo D.
Biochemistry, Genetics and Molecular Biology · Decision Sciences · Mathematics · Social Sciences · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #Game Theory and Applications #Gene Regulatory Network Analysis #Quantitative Methods (q-bio.QM) #Stochastic processes and statistical mechanics #q-bio.QM

paper · pdf · doi:10.48550/arxiv.1108.3245

arxiv created 2011/08/16 · openalex publication_date 2011/08/16 · arxiv updated 2011/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For velocity-jump Markov processes with equivariant internal dynamics, we remark that population distributions are invariant. This provides a formalization of the fact that FCD (scale) and other symmetry invariant systems perform identical spatial searches under input transformations.

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