Subexponential instability in one-dimensional maps implies infinite invariant measure
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Publication:5251221
DOI10.1063/1.3470091zbMath1311.37032arXiv0907.0585OpenAlexW3103211564WikidataQ85119971 ScholiaQ85119971MaRDI QIDQ5251221
Publication date: 19 May 2015
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.0585
Stability of topological dynamical systems (37B25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05) Nonsingular (and infinite-measure preserving) transformations (37A40)
Related Items (8)
Arcsine and Darling–Kac laws for piecewise linear random interval maps ⋮ Phase diagram in stored-energy-driven Lévy flight ⋮ Pesin-type relation for subexponential instability ⋮ Numerical estimate of infinite invariant densities: application to Pesin-type identity ⋮ Quantitative universality for a class of weakly chaotic systems ⋮ Infinite ergodicity that preserves the Lebesgue measure ⋮ Weak Chaos, Infinite Ergodic Theory, and Anomalous Dynamics ⋮ Distributional behavior of time averages of non-\(L^1\) observables in one-dimensional intermittent maps with infinite invariant measures
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