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Introduction to the statistical theory of Darwinian evolution

1997/12/02 by Luca Peliti, Peliti, Luca · 1 citation
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · Social Sciences · #Adaptation and Self-Organizing Systems (nlin.AO) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #adap-org #cond-mat.dis-nn #nlin.AO #q-bio.PE

paper · pdf · doi:10.48550/arxiv.cond-mat/9712027

27 pages, no figures

arxiv created 1997/12/02 · openalex publication_date 1997/12/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These lectures contain a brief description of evolutionary models inspired by the statistical mechanics of disordered systems. After an introduction describing the Darwinian paradigm of evolving populations, the deterministic quasispecies equation is described, and the simplest fitness landscapes are discussed. The effect of finite population size is then considered, from the opposing points of view leading to stochastic escape and to adaptive walks. A synthesis is attempted. Finally the effects of coevolution are considered, and the promising models of large-scale inspired by the Bak-Sneppen models are described.

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