Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation
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Publication:2419265
DOI10.1016/j.aim.2019.04.007zbMath1442.37019arXiv1711.08665OpenAlexW2964110908WikidataQ128115484 ScholiaQ128115484MaRDI QIDQ2419265
Publication date: 29 May 2019
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.08665
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)
Related Items (12)
Mixing properties of generalized \(T,T^{-1}\) transformations ⋮ On the statistical stability of families of attracting sets and the contracting Lorenz attractor ⋮ Upper large deviations bound for singular-hyperbolic attracting sets ⋮ Variance continuity for Lorenz flows ⋮ Robust exponential mixing and convergence to equilibrium for singular-hyperbolic attracting sets ⋮ On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets ⋮ Unnamed Item ⋮ Statistical properties for flows with unbounded roof function, including the Lorenz attractor ⋮ Robust transitivity of singular hyperbolic attractors ⋮ The dynamics of vector fields with singularities ⋮ Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards ⋮ Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability
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