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Topics of stochastic algebraic topology


Costa, A E; Farber, M; Kappeler, T (2012). Topics of stochastic algebraic topology. Electronic Notes in Theoretical Computer Science, 283:53-70.

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.

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2012
Deposited On:07 Feb 2013 07:53
Last Modified:05 Apr 2016 16:27
Publisher:Elsevier
ISSN:1571-0661
Additional Information:Proceedings of the workshop on Geometric and Topological Methods in Computer Science (GETCO)
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1016/j.entcs.2012.05.005

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