Critical values in Bak-Sneppen type models

2017/09/25 by Daniel Fraiman, Fraiman, Daniel
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · Social Sciences · #Adaptation and Self-Organizing Systems (nlin.AO) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #FOS: Physical sciences #Populations and Evolution (q-bio.PE) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech #nlin.AO #q-bio.PE

paper · pdf · doi:10.48550/arxiv.1709.08474

arxiv created 2017/09/25 · openalex publication_date 2017/09/25 · arxiv updated 2017/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the Bak-Sneppen model, the lowest fitness particle and its two nearest neighbors are renewed at each temporal step with a uniform (0,1) fitness distribution. The model presents a critical value that depends on the interaction criteria (two nearest neighbors) and on the update procedure (uniform). Here we calculate the critical value for models where one or both properties are changed. We study models with non-uniform updates, models with random neighbors and models with binary fitness and obtain exact results for the average fitness and for p_c.

Related

• A perturbative approach to the Bak and Sneppen Model
• A local barycentric version of the Bak-Sneppen model
• A new hierarchy of avalanches observed in Bak-Sneppen evolution model
• Fitness fluctuations in Bak-Sneppen model
• 1/f noise in extremal dynamics