Multiple returns for some regular and mixing maps

DOI10.1063/1.2005507zbMath1144.37354OpenAlexW1977675313WikidataQ46752646 ScholiaQ46752646MaRDI QIDQ3529537

Giorgio Turchetti, E. Lunedei, Luca Rossi, Sandro Vaienti, Nicolai T. A. Haydn

Publication date: 14 October 2008

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f3c566160cd0413b2ab88023e1ab979303e4da01

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• A two-dimensional mapping with a strange attractor
• The limiting distribution and error terms for return times of dynamical systems
• Statistics of return times: A general framework and new applications
• Future paths for integer programming and links to artificial intelligence
• Limit laws of entrance times for homeomorphisms of the circle
• Symplectic maps, variational principles, and transport
• Statistical properties of equilibrium states for rational maps
• The loss of tightness of time distributions for homeomorphisms of the circle
• Average exit time for volume-preserving maps
• Statistics of Poincaré recurrences for maps with integrable and ergodic components
• Weak mixing and anomalous kinetics along filamented surfaces
• Topological degree theory and local analysis of area preserving maps

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