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Dynamical systems and related problems of geometry. Collected papers dedicated to the memory of Academician Andrei Andreevich Bolibrukh. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. Proceedings of the Steklov Institute of Mathematics 244, 29-27 (2004); translation from Tr. Mat. Inst. Steklova 244, 35-64 (2004).

Reviewer: Ursula Hamenstädt (Bonn)

MSC: 37D20 37C70 37C05

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Field, Michael; Nicol, Matthew

Ergodic theory of equivariant diffeomorphisms: Markov partitions and stable ergodicity. (English) Zbl 1073.37030

Mem. Am. Math. Soc. 803, 100 p. (2004).

Reviewer: Peter Raith (Wien)

MSC: 37D30 37C80 37A25 37B10 37C70

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Pollicott, Mark

Stability of mixing rates for Axiom A attractors. (English) Zbl 1028.37004

Nonlinearity 16, No. 2, 567-578 (2003).

MSC: 37A25 37D20

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Young, Lai-Sang

What are SRB measures, and which dynamical systems have them? (English) Zbl 1124.37307

J. Stat. Phys. 108, No. 5-6, 733-754 (2002).

MSC: 37D20 37A25 37C40

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Dobrynskii, V. A.

Critical sets and two-dimensional topologically mixing attractors of a pair of coupled ”tent maps”. (English. Russian original) Zbl 0985.37029

Math. Notes 65, No. 5, 548-552 (1999); translation from Mat. Zametki 65, No. 5, 654-658 (1999).

Reviewer: Messoud Efendiev (Berlin)

MSC: 37D45 37A25 37E30

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Walkden, C. P.

Stable ergodic properties of cocycles over hyperbolic attractors. (English) Zbl 0941.37013

Commun. Math. Phys. 205, No. 2, 263-281 (1999).

Reviewer: U.Hamenstädt (Bonn)

MSC: 37D05 37A25

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Tricot, Claude; Riedi, Rudolf

Attractors, orbits and ergodicity. (Attracteurs, orbites et ergodicité.) (French) Zbl 1054.37014

Ann. Math. Blaise Pascal 6, No. 1, 55-72 (1999).

MSC: 37D45 28D05 37A25 37B10 37C45 28A80

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Full Text: DOI Numdam EuDML

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Bakhtin, V. I.

A direct method of constructing an invariant measure on a hyperbolic attractor. (English. Russian original) Zbl 0788.58040

Russ. Acad. Sci., Izv., Math. 41, No. 2, 207-227 (1993); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 56, No. 5, 934-957 (1992).

Reviewer: P.Garbaczewski (Wrocław)

MSC: 37D99 37A99

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Ratner, M.

Bernoulli flows over maps of the interval. (English) Zbl 0435.58022

Isr. J. Math. 31, 298-314 (1978).

MSC: 37C10 37D45 28D10

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Found 25 Documents (Results 1–25)

Hyperbolic attractors of diffeomorphisms of Euclidean space. (English. Russian original) Zbl 1421.37015

Existence and smoothness of the stable foliation for sectional hyperbolic attractors. (English) Zbl 1378.37070

The geometric approach for constructing Sinai-Ruelle-Bowen measures. (English) Zbl 1364.37074

Exponential decay of correlations for nonuniformly hyperbolic flows with a \(C^{1+\alpha}\) stable foliation, including the classical Lorenz attractor. (English) Zbl 1367.37033

The annulus principle in the existence problem for a hyperbolic strange attractor. (English. Russian original) Zbl 1376.37077

On Pesin’s entropy formula for dominated splittings without mixed behavior. (English) Zbl 1366.37014

Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps. (English) Zbl 1356.37002

Mixing and eigenfunctions of singular hyperbolic attractors. (English. Russian original) Zbl 1358.37061

Nonwandering sets of interval skew products. (English) Zbl 1348.37019

Corrigendum to: “Exponential speed of mixing for skew-products with singularities”. (English) Zbl 1278.37039

Exponential speed of mixing for skew-products with singularities. (English) Zbl 1271.37032

Convergence of moments for Axiom A and non-uniformly hyperbolic flows. (English) Zbl 1263.37047

Thick attractors of boundary preserving diffeomorphisms. (English) Zbl 1262.37014

On the definition of ‘chaos’. (English. Russian original) Zbl 1209.37034

Ergodic measures of SRB attractors. (English) Zbl 1157.37009

The Lorenz attractor is mixing. (English) Zbl 1082.37030

Foliated functions and an averaged weighted shift operator for perturbations of hyperbolic mappings. (English. Russian original) Zbl 1078.37018

Ergodic theory of equivariant diffeomorphisms: Markov partitions and stable ergodicity. (English) Zbl 1073.37030

Stability of mixing rates for Axiom A attractors. (English) Zbl 1028.37004

What are SRB measures, and which dynamical systems have them? (English) Zbl 1124.37307

Critical sets and two-dimensional topologically mixing attractors of a pair of coupled ”tent maps”. (English. Russian original) Zbl 0985.37029

Stable ergodic properties of cocycles over hyperbolic attractors. (English) Zbl 0941.37013

Attractors, orbits and ergodicity. (Attracteurs, orbites et ergodicité.) (French) Zbl 1054.37014

A direct method of constructing an invariant measure on a hyperbolic attractor. (English. Russian original) Zbl 0788.58040

Bernoulli flows over maps of the interval. (English) Zbl 0435.58022

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