Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Anatole Katok - MaRDI portal

Anatole Katok (Q5021944)

From MaRDI portal

Jump to:navigation, search

scientific article; zbMATH DE number 7457809

Language	Label	Description	Also known as
English	Anatole Katok	scientific article; zbMATH DE number 7457809

Statements

scholarly article

0 references

Anatole Katok (English)

0 references

zbMATH Open document ID

0 references

10.1017/etds.2021.72

0 references

Boris Hasselblatt

0 references

Ergodic Theory and Dynamical Systems

0 references

publication date

17 January 2022

0 references

Mathematics Subject Classification ID

0 references

0 references

zbMATH DE Number

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1017/etds.2021.72

0 references

0 references

0 references

SRB measures for almost Axiom A diffeomorphisms

0 references

0 references

0 references

0 references

Tangent fields of transversal foliations in 'U-systems'

0 references

0 references

Spectral multiplicity in ergodic theory

0 references

0 references

0 references

0 references

0 references

SOME SMOOTH ERGODIC SYSTEMS

0 references

PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

0 references

0 references

The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states

0 references

Diffeomorphisms with positive metric entropy

0 references

Nonpositively curved manifolds of higher rank

0 references

Structure of manifolds of nonpositive curvature. I

0 references

Structure of manifolds of nonpositive curvature. II

0 references

Non-standard real-analytic realizations of some rotations of the circle

0 references

Non-standard real-analytic realizations of some rotations of the circle – CORRIGENDUM

0 references

Real-analytic AbC constructions on the torus

0 references

0 references

Flexibility of geometric and dynamical data in fixed conformal classes

0 references

Nonstandard smooth realization of translations on the torus

0 references

0 references

Flots d'Anosov a Distributions Stable et Instable Differentiables

0 references

About affine Anosov diffeomorphisms with differentiable stable and instable foliations

0 references

Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonian

0 references

Entropy and rigidity of locally symmetric spaces of strictly negative curvature

0 references

Minimal entropy and Mostow's rigidity theorems

0 references

Genericity of zero Lyapunov exponents

0 references

Dual billiards, twist maps and impact oscillators

0 references

Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature

0 references

The topology of group extensions of C systems

0 references

0 references

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

0 references

On the ergodicity of frame flows

0 references

0 references

0 references

0 references

0 references

PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS

0 references

D. V. Anosov and our road to partial hyperbolicity

0 references

Zimmer's conjecture for actions of \(\mathrm{SL}(m,\mathbb{Z})\)

0 references

0 references

Manifolds with non-positive curvature

0 references

Manifolds of nonpositive curvature and their buildings

0 references

On topological Tits buildings and their classification

0 references

Rigidity of equality of Lyapunov exponents for geodesic flows

0 references

0 references

From Groups to Geometry and Back

0 references

Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points

0 references

Rigidity for surfaces of non-positive curvature

0 references

Rigidity and the distance between boundary points

0 references

The marked length-spectrum of a surface of nonpositive curvature

0 references

Local rigidity of actions of higher rank abelian groups and KAM method

0 references

Periodic cycle functionals and cocycle rigidity for certain partially hyperbolic \(\mathbb R^k\) actions

0 references

Local rigidity of restrictions of Weyl chamber flows

0 references

Local rigidity of partially hyperbolic actions I. KAM method and \({\mathbb Z^k}\) actions on the torus

0 references

Local rigidity of homogeneous parabolic actions: I. A model case

0 references

Local Rigidity of Partially Hyperbolic Actions. II: The Geometric Method and Restrictions of Weyl Chamber Flows on SL(n, R)/

0 references

0 references

Every compact manifold carries a completely hyperbolic diffeomorphism

0 references

A two-parameter study of the extent of chaos in a billiard system

0 references

Invariant measures on <i>G</i>/Γ for split simple Lie groups <i>G</i>

0 references

Rigidity of measures -- the high entropy case and non-commuting foliations

0 references

Invariant measures and the set of exceptions to Littlewood's conjecture

0 references

Flexibility of Lyapunov exponents for expanding circle maps

0 references

Flexibility of entropies for surfaces of negative curvature

0 references

On the topology of the space of negatively curved metrics

0 references

0 references

Constructions in elliptic dynamics

0 references

Analytic uniquely ergodic volume preserving maps on odd spheres

0 references

0 references

Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary

0 references

An effective version of Katok's horseshoe theorem for conservative \(C^2\) surface diffeomorphisms

0 references

Geodesic flows on manifolds of negative curvature with smooth horospheric foliations

0 references

Invariant tensor fields of dynamical systems with pinched Lyapunov exponents and rigidity of geodesic flows

0 references

Anosov flows with smooth foliations and rigidity of geodesic flows on three-dimensional manifolds of negative curvature

0 references

0 references

Groups acting on manifolds: around the Zimmer program

0 references

Recent Developments in the Zimmer Program

0 references

Local entropy rigidity for hyperbolic manifolds

0 references

Rigidity of symplectic Anosov diffeomorphisms on low dimensional tori

0 references

Entropy rigidity of Anosov flows in dimension three

0 references

0 references

Playing pool with \(\pi\) (the number \(\pi\) from a billiard point of view)

0 references

Smooth models of Thurston's pseudo-Anosov maps

0 references

0 references

0 references

Invariant measures on homogeneous spaces

0 references

Construction of weakly mixing diffeomorphisms preserving measurable Riemannian metric and smooth measure. With an appendix by Alex Furman

0 references

Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior

0 references

Toward the history of dynamical entropy: comparing two definitions

0 references

0 references

Caustics for inner and outer billiards

0 references

Coincidence of various dimensions associated with metrics and measures on metric spaces

0 references

0 references

Normal forms and invariant geometric structures for dynamical systems with invariant contracting foliations

0 references

Bootstrapping Regularity of the Anosov Splitting

0 references

ANOSOV OBSTRUCTIONS IN HIGHER DIMENSION

0 references

Horospheric foliations and relative pinching

0 references

Periodic bunching and invariant foliations

0 references

Introduction to hyperbolic dynamics and ergodic theory

0 references

0 references

The development of dynamics in the 20th century and the contribution of Jürgen Moser

0 references

0 references

0 references

0 references

0 references

The Benettin-Strelcyn oval billiard revisited

0 references

Nonexistence of SBR measures for some diffeomorphisms that are ‘Almost Anosov’

0 references

Conditions for the Existence of SBR Measures for “Almost Anosov” Diffeomorphisms

0 references

0 references

Decay of correlations for piecewise smooth maps with indifferent fixed points

0 references

0 references

Secondary classes and transverse measure theory of a foliation

0 references

Ergodic theory and Weil measures for foliations

0 references

Differentiability, rigidity and Godbillon-Vey classes for Anosov flows

0 references

0 references

Measurable rigidity and disjointness for {\mathbb Z}^k actions by toral automorphisms

0 references

Measure rigidity beyond uniform hyperbolicity: invariant measures for Cartan actions on tori

0 references

New progress in nonuniform measure and cocycle rigidity

0 references

Errata to ``Measure rigidity beyond uniform hyperbolicity: invariant measures for Cartan actions on Tori'' and ``Uniqueness of large invariant measures for \(\mathbb Z^k\) actions with Cartan homotopy data''

0 references

Nonuniform measure rigidity

0 references

Geodesic flows of negatively curved manifolds with smooth stable and unstable foliations

0 references

0 references

0 references

0 references

0 references

ERGODIC PERTURBATIONS OF DEGENERATE INTEGRABLE HAMILTONIAN SYSTEMS

0 references

0 references

0 references

0 references

MONOTONE EQUIVALENCE IN ERGODIC THEORY

0 references

0 references

Bernoulli diffeomorphisms on surfaces

0 references

Interval exchange transformations and some special flows are not mixing

0 references

Lyapunov exponents, entropy and periodic orbits for diffeomorphisms

0 references

Smooth non-Bernoulli k-automorphisms

0 references

0 references

Ergodic theory and dynamical systems II. Proceedings, special year, Maryland 1979-80

0 references

0 references

0 references

0 references

The growth rate for the number of singular and periodic orbits for a polygonal billiard

0 references

Four applications of conformal equivalence to geometry and dynamics

0 references

The assessment game in sand fiddler crab contests for breeding burrows

0 references

0 references

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

0 references

Hyperbolic measures and commuting maps in low dimension

0 references

0 references

0 references

0 references

Fifty years of entropy in dynamics: 1958 -- 2007

0 references

Moscow dynamics seminars of the nineteen seventies and the early career of Yasha Pesin

0 references

Dmitry Viktorovich Anosov: His life and mathematics

0 references

0 references

0 references

0 references

Higher cohomology for Abelian groups of toral automorphisms

0 references

Higher cohomology for abelian groups of toral automorphisms II: the partially hyperbolic case, and corrigendum

0 references

The Fried average entropy and slow entropy for actions of higher rank abelian groups

0 references

Rigidity of measurable structure for \(\mathbb Z^d\)-actions by automorphisms of a torus

0 references

Random perturbations of transformations of an interval

0 references

Differentiability and analyticity of topological entropy for Anosov and geodesic flows

0 references

Differentiability of entropy for Anosov and geodesic flows

0 references

Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows

0 references

Cocycles' stability for partially hyperbolic systems

0 references

Some new cases of realization of spectral multiplicity function for ergodic transformations

0 references

Global rigidity results for lattice actions on tori and new examples of volume-preserving actions

0 references

Cocycle superrigidity and rigidity for lattice actions on tori

0 references

Rigidity of higher rank Abelian cocycles with values in diffeomorphism groups

0 references

0 references

Non-abelian cohomology of abelian Anosov actions

0 references

Modern Theory of Dynamical Systems

0 references

Uniqueness of large invariant measures for \(\mathbb Z^k\) actions with Cartan homotopy data

0 references

Measure and cocycle rigidity for certain nonuniformly hyperbolic actions of higher-rank Abelian groups

0 references

Rigidity of real-analytic actions of \(SL(n,\mathbb Z)\) on \(\mathbb T^n\): a case of realization of Zimmer program

0 references

Arithmeticity and topology of smooth actions of higher rank abelian groups

0 references

Non-uniform measure rigidity for ℤ^{𝕜} actions of symplectic type

0 references

Standardness of automorphisms of transposition of intervals and fluxes on surfaces

0 references

The cohomology of expansive \(\mathbb{Z}^ d\)-actions by automorphisms of compact, Abelian groups

0 references

Theory of dynamical systems and general transformation groups with invariant measure

0 references

First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity

0 references

Subelliptic estimates of polynomial differential operators and applications to rigidity of abelian actions

0 references

Invariant measures for higher-rank hyperbolic abelian actions

0 references

0 references

Differential Rigidity of Anosov Actions of Higher Rank Abelian Groups and Algebraic Lattice Actions

0 references

0 references

APPROXIMATIONS IN ERGODIC THEORY

0 references

Slow entropy type invariants and smooth realization of commuting measure-preserving transformations

0 references

0 references

Modular forms associated to closed geodesics and arithmetic applications

0 references

Closed geodesics, periods and arithmetic of modular forms

0 references

On the asymptotic geometry of nonpositively curved manifolds

0 references

0 references

0 references

0 references

Uniform rigidity sequences for weak mixing diffeomorphisms on \(\mathbb{D}^2\), \(\mathbb{A}\) and \(\mathbb{T}^2\)

0 references

Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions

0 references

Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric

0 references

Uniform rigidity sequences for weakly mixing diffeomorphisms on \(\mathbb{D}^m\), \(\mathbb{T}^m\) and \(\mathbb{S}^1 \times [0, 1]^{m - 1}\)

0 references

THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN

0 references

A proof of the estimation from below in Pesin's entropy formula

0 references

0 references

Axiom <i>A</i> Diffeomorphisms have Rational Zeta Functions

0 references

0 references

Existence of quasi-periodic orbits for twist homeomorphisms of the annulus

0 references

Glancing billiards

0 references

A criterion for the non-existence of invariant circles

0 references

A $C^{\infty}$ diffeomorphism with infinitely many intermingled basins

0 references

Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid

0 references

Fubini foiled: Katok's paradoxical example in measure theory

0 references

0 references

Stable and Random Motions in Dynamical Systems

0 references

Cohomology of dynamical systems and rigidity of partially hyperbolic actions of higher-rank lattices

0 references

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

0 references

On the length of the geodesics of a metric of negative curvature on the disc.

0 references

Thermodynamics of the Katok map

0 references

0 references

FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS

0 references

CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

0 references

Description of \(\pi\)-partition of a diffeomorphism with invariant measure

0 references

GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITHOUT FOCAL POINTS

0 references

Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points

0 references

0 references

Dynamical systems with generalized hyperbolic attractors: hyperbolic, ergodic and topological properties

0 references

0 references

The unique measure of maximal entropy for a compact rank one locally CAT(0) space

0 references

Genericity of nonuniform hyperbolicity in dimension 3

0 references

0 references

0 references

Dimensional characteristics of invariant measures for circle diffeomorphisms

0 references

Analytic nonlinearizable uniquely ergodic diffeomorphisms on \mathbb T^{\mathbf{2}}

0 references

ON THE NUMBER OF INVARIANT MEASURES FOR FLOWS ON ORIENTABLE SURFACES

0 references

AN INVARIANT OF MONOTONE EQUIVALENCE DETERMINING THE QUOTIENTS OF AUTOMORPHISMS MONOTONELY EQUIVALENT TO A BERNOULLI SHIFT

0 references

Entropy rigidity for 3D conservative Anosov flows and dispersing billiards

0 references

0 references

0 references

0 references

Equilibrium states of almost Anosov diffeomorphisms

0 references

The work of Einsiedler, Katok and Lindenstrauss on the Littlewood conjecture

0 references

Vladimir Abramovich Rokhlin—A biographical tribute (23.8.1919–3.12.1984)

0 references

Dynamics of metrics in measure spaces and their asymptotic invariants

0 references

In memoriam: Boris Abramovich Rosenfeld (1917-2008)

0 references

Unique equilibrium states, large deviations and Lyapunov spectra for the Katok map

0 references

0 references

Invariant families of cones and Lyapunov exponents

0 references

0 references

Volume growth and entropy

0 references

0 references

Topological transitivity of billiards in polygons

0 references

0 references

The ergodicity of a class of almost Anosov systems

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5021944

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q5021944&oldid=36757448"