Topics of stochastic algebraic topology

A. E. Costa*, M. Farber, T. Kappeler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Stochastic algebraic topology studies random or partly known spaces depending on many random parameters. Such spaces typically arise in applications as configuration spaces of large systems. The paper surveys several recent developments of stochastic algebraic topology focusing on three major themes: random 2-dimensional complexes, random Artin and Coxeter groups, and configuration spaces of linkages (known also as polygon spaces) with random length parameters.

Original languageEnglish
Pages (from-to)53-70
Number of pages18
JournalElectronic Notes in Theoretical Computer Science
Volume283
DOIs
StatePublished - 15 Jun 2012
Externally publishedYes

Keywords

  • random complex
  • random group
  • random manifold
  • stochastic topology

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