Dynamics of random selfmaps of surfaces with boundary

DOI10.3934/DCDS.2014.34.599zbMath1308.37021arXiv1107.4312OpenAlexW1971121070MaRDI QIDQ379737

P. Christopher Staecker, Seung Won Kim

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4312

zbMATH Keywords

entropysurfaceNielsen theoryperiodic pointsasymptotic densitygeneric propertiesremnant

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fixed points and coincidences in algebraic topology (55M20) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Combinatorial dynamics (types of periodic orbits) (37E15)

Cites Work

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• Typical elements in free groups are in different doubly-twisted conjugacy classes
• The class of groups all of whose subgroups with lesser number of generators are free is generic
• Estimation of the number of periodic orbits
• Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles II
• Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles I
• Lectures on Nielsen fixed point theory
• The Nielsen number on surfaces
• An algorithm for calculating the Nielsen number on surfaces with boundary

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