Attractors, orbits and ergodicity

DOI10.5802/AMBP.115zbMath1054.37014OpenAlexW2047882113MaRDI QIDQ1301240

Claude Tricot, Rudolf H. Riedi

Publication date: 20 February 2000

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1999__6_1_55_0

zbMATH Keywords

orbitsattractorinvariant measureiterated function systemCantor setsfractalsergodic theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodicity, mixing, rates of mixing (37A25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Symbolic dynamics (37B10) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• An ergodic theorem for iterated maps
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