Statistical properties of braid groups in locally free approximation

1999/05/30 by A. M. Vershik, Vershik, A. M., Sergei Nechaev +4 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech) #Topological and Geometric Data Analysis #advanced mathematical theories #cond-mat.stat-mech #math.GT #math.PR

paper · pdf · doi:10.48550/arxiv.math/9905190

32 pages (LaTeX), 5 enclosed eps-figures; added references

openalex publication_date 1999/05/30 · arxiv created 1999/06/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Statistical and probabilistic characteristics of locally free group with growing number of generators are defined and their application to statistics of braid groups is given.

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