Typical representatives of free homotopy classes in multi-punctured plane

DOI10.1142/S1793525319500262zbMath1423.60051arXiv1601.04224OpenAlexW2963842740MaRDI QIDQ5242904

Maxim Arnold, Yuriy Mileyko, Yuliy M. Baryshnikov

Publication date: 7 November 2019

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04224

zbMATH Keywords

Mogulskii's theoremshortest loop

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Large deviations (60F10) Loop spaces (55P35) Probability theory on algebraic and topological structures (60B99)

Related Items (1)

On a parameterization of (1,1)-knots

Cites Work

• Harris recurrence of Metropolis-within-Gibbs and trans-dimensional Markov chains
• Computing minimum length paths of a given homotopy class
• Measure concentration in optimization
• Parametrization and smooth approximation of surface triangulations
• Optimally cutting a surface into a disk
• Computing homotopic shortest paths efficiently
• Markov Chains and Stochastic Stability
• Computing homotopic shortest paths in the plane
• APPROXIMATE SHORTEST HOMOTOPIC PATHS IN WEIGHTED REGIONS
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