Statistical properties of chaotic systems (Q5750013)

scientific article; zbMATH DE number 4184477

Language	Label	Description	Also known as
English	Statistical properties of chaotic systems	scientific article; zbMATH DE number 4184477

Statements

instance of

scholarly article

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title

Statistical properties of chaotic systems (English)

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Bulletin of the American Mathematical Society

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publication date

1991

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zbMATH Keywords

smooth dynamical systems

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Bernoulli flows

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hyperbolic structures

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MaRDI profile type

MaRDI publication profile

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cites work

Irreducible Markov Shifts

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ENTROPY, A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS

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SOME SMOOTH ERGODIC SYSTEMS

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Cutting and stacking, interval exchanges and geometric models

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Periodic Orbits for Hyperbolic Flows

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Mixing Anosov flows

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Bernoulli diffeomorphisms and group extensions of dynamical systems with non-zero characteristic exponents

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The ergodic theory of axiom A flows

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$\alpha$-congruence for Markov processes

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r-entropy, equipartition, and Ornstein's isomorphism theorem in $\mathbb{R}^n$

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Semi-rigidity of horocycle flows over compact surfaces of variable negative curvature

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The relative isomorphism theorem for Bernoulli flows

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Stability of the weak Pinsker property for flows

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Flow equivalence, hyperbolic systems and a new zeta function for flows

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Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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Billiards and Bernoulli schemes

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Smooth non-Bernoulli k-automorphisms

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Infinitesimal Lyapunov functions, invariant cone families and stochastic properties of smooth dyanmical systems

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Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki

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Ergodic automorphisms of $T^ n$ are Bernoulli shifts

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Bernoulli schemes of the same entropy are finitarily isomorphic

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Ergodic theorems. With a supplement by Antoine Brunel

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The structure of skew products with ergodic group automorphisms

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A class of Markov shifts which are Bernoulli shifts

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Bernoulli shifts with the same entropy are isomorphic

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On isomorphism of weak Bernoulli transformations

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The isomorphism theorem for Bernoulli flows

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An example of a Kolmogorov automorphism that is not a Bernoulli shift

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A K-automorphism with no square root and Pinsker's conjecture

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A mixing transformation for which Pinsker's conjecture fails

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Factors of Bernoulli shifts

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Mixing Markov shifts of kernel type are Bernoulli

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Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)

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Finitely determined implies very weak Bernoulli

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Geodesic flows are Bernoullian

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How sampling reveals a process

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Equivalence of measure preserving transformations

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CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

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Anosov Flows

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The $C^{1+\alpha}$ hypothesis in Pesin theory

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The $\Omega$-stability theorem for flows

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A proof of Oseledec's multiplicative ergodic theorem

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Anosov flows with Gibbs measures are also Bernoullian

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Bernoulli flows over maps of the interval

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A two-valued step coding for ergodic flows

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Restricted orbit equivalence

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Counting the relatively finite factors of a Bernoulli shift

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Classifying the isometric extensions of a Bernoulli shift

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β-automorphisms are Bernoulli shifts

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Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli

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Une classe de systèmes pour lesquels la conjecture de Pinsker est vraie

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Extreme instability of the horocycle flow

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Anosov diffeomorphisms are topologically stable

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A system of one-dimensional balls with gravity

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The system of one-dimensional balls in an external field. II

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Identifiers

zbMATH Open document ID

0718.58038

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DOI

10.1090/S0273-0979-1991-15953-7

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5750013