Unique ergodicity and the approximation of attractors and their invariant measures using Ulam's method

DOI10.1088/0951-7715/11/2/007zbMath0999.37002OpenAlexW2067593096MaRDI QIDQ4383951

Fern Y. Hunt

Publication date: 6 November 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/11/2/007

zbMATH Keywords

weak convergenceinvariant measureergodic theoremUlam's methodasymptotically stable attractorsapproximate measuresLyapunov stable attracting Cantor sets

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants (28D20) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

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