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Multidimensional expanding maps with singularities: a pedestrian approach (Q4911068)

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scientific article; zbMATH DE number 6144626

Language	Label	Description	Also known as
English	Multidimensional expanding maps with singularities: a pedestrian approach	scientific article; zbMATH DE number 6144626

Statements

scholarly article

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Multidimensional expanding maps with singularities: a pedestrian approach (English)

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Carlangelo Liverani

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Ergodic Theory and Dynamical Systems

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publication date

13 March 2013

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full work available at URL

https://arxiv.org/abs/1110.2001

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zbMATH Keywords

expanding maps

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invariant measures

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MaRDI profile type

MaRDI publication profile

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Absolutely continuous invariant probability measures for arbitrary expanding piecewise $\mathbb{R}$-analytic mappings of the plane

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Piecewise expanding maps on the plane with singular ergodic properties

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Ruelle Perron Frobenius spectrum for Anosov maps

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A spectral gap for transfer operators of piecewise expanding maps

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Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms

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Absolutely continuous invariant measures for multidimensional expanding maps

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Banach spaces for piecewise cone-hyperbolic maps

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Inadequacy of the bounded variation technique in the ergodic theory of higher-dimensional transformations

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Good Banach spaces for piecewise hyperbolic maps via interpolation

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Existence, mixing and approximation of invariant densities for expanding maps on \(\mathbb{R}^r\)

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Zeta functions and dynamical systems

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Fredholm determinants, Anosov maps and Ruelle resonances

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On contact Anosov flows

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Decay of correlations

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Rare events, escape rates and quasistationarity: Some Exact formulae

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Compact locally maximal hyperbolic sets for smooth maps: Fine statistical properties

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Banach spaces adapted to Anosov systems

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Almost sure invariance principle for dynamical systems by spectral methods

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Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)

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Stability of statistical properties in two-dimensional piecewise hyperbolic maps

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Absolutely continuous invariant measures for most piecewise smooth expanding maps

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Stochastic stability for piecewise expanding maps in ℝ<sup><i>d</i></sup>

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ABSOLUTELY CONTINUOUS INVARIANT MEASURES FOR GENERIC MULTI-DIMENSIONAL PIECEWISE AFFINE EXPANDING MAPS

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No or infinitely many a. c. i. p. for piecewise expanding \(C^r\) maps in higher dimensions

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Smooth Anosov flows: Correlation spectra and stability

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Identifiers

zbMATH Open document ID

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10.1017/S0143385711000939

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4911068

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