Multidimensional expanding maps with singularities: a pedestrian approach
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Publication:4911068
DOI10.1017/S0143385711000939zbMath1268.37026arXiv1110.2001MaRDI QIDQ4911068
Publication date: 13 March 2013
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.2001
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (20)
Rigorous approximation of diffusion coefficients for expanding maps ⋮ Decay of correlations for invertible maps with non-Hölder observables ⋮ A Note on the Large Deviations for Piecewise Expanding Multidimensional Maps ⋮ Map lattices coupled by collisions: hitting time statistics and collisions per lattice unit ⋮ Invariant measures for random expanding on average Saussol maps ⋮ Limit theorems for fast-slow partially hyperbolic systems ⋮ Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations ⋮ Decay in norm of transfer operators for semiflows ⋮ Mixing for some non-uniformly hyperbolic systems ⋮ Exponential decay of correlations for a real-valued dynamical system embedded in \(\mathbb{R}^2\) ⋮ Sharp statistical properties for a family of multidimensional nonMarkovian nonconformal intermittent maps ⋮ On the number of invariant measures for random expanding maps in higher dimensions ⋮ Parabolic dynamics and anisotropic Banach spaces ⋮ Stronger Lasota-Yorke inequality for one-dimensional piecewise expanding transformations ⋮ Intermittent Behaviors in Coupled Piecewise Expanding Map Lattices ⋮ Searching for targets of nonuniform size using mixing transformations: constructive upper bounds and limit laws ⋮ Annealed and quenched limit theorems for random expanding dynamical systems ⋮ Pseudo-orbits, stationary measures and metastability ⋮ Young towers for product systems ⋮ Sinai-Ruelle-Bowen measures for piecewise hyperbolic maps with two directions of instability in three-dimensional spaces
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