- Differential rigidity of group actions Misha Guysinsky
- Some new cases of realization of spectral multiplicity function for ergodic transformations
- This summary of elementary group theory is copied from the webpage of Ben Lynn
- .. .. [4] .. ..-[5] .
- PROBLEMS IN DYNAMICAL SYSTEMS AND RELATED TOPICS RAISED IN CONNECTION WITH THE CLAY
- FUNDAMENTAL STRUCTURES OF CONTINUOUS MATHEMATICS SPRING 2004
- Lewis Bowen Texas A&M University
- Lecture 26 181 Figure 4.5. Relating curvature to the circumference of a circle.
- MEASURE THEORY THROUGH DYNAMICAL EYES ANATOLE KATOK AND VAUGHN CLIMENHAGA
- COCYCLES' STABILITY FOR PARTIALLY HYPERBOLIC A. KATOK AND A. KONONENKO
- CURRICULUM VITAE Giovanni Forni
- NORMAL FORMS AND INVARIANT GEOMETRIC STRUCTURES FOR DYNAMICAL SYSTEMS
- Annals of Mathematics, 164 (2006), 513560 Invariant measures and the set of
- THE 1977 WARSAW CONFERENCE AND WIESLAW ANATOLE KATOK
- MOSCOW MATHEMATICAL JOURNAL Volume 1, Number 4, OctoberDecember 2001, Pages 521537
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Differentiable rigidity of group actions Summer School, July 7 July 19, Bedlewo, 2008
- MATH 502: REAL AND COMPLEX ANALYSIS SPRING 2003
- "MEASURE RIGIDITY BEYOND UNIFORM HYPERBOLICITY: INVARIANT MEASURES FOR
- Communications in Commun. Math. Phys. Ill, 151-160 (1987) Mathematical
- JOURNAL OF MODERN DYNAMICS WEB SITE: http://www.math.psu.edu/jmd VOLUME 1, NO. 2, 2007, 287300
- Introduction to Modern Topology and Geometry
- MATH 527: TOPOLOGY/GEOMETRY PROBLEM SET # 1
- LOCAL RIGIDITY OF PARTIALLY HYPERBOLIC ACTIONS: SOLUTION OF THE GENERAL PROBLEM VIA
- PACIFIC JOURNAL OF MATHEMATICS Vol. 170 No. 1 1995
- The Second Brin's Prize in Dynamical Systems
- REAL AND COMPLEX SMOOTH MANIFOLDS The notion of smooth or differentiable manifold is one of the central concepts
- FIVE MOST RESISTANT PROBLEMS IN DYNAMICS
- Differential Rigidity of Anosov Actions of Higher Rank Abelian Groups and Algebraic Lattice Actions
- FUNDAMENTAL STRUCTURES OF CONTINUOUS MATHEMATICS SPRING 2004
- 6. METRIC SPACES 65 PROPOSITION 2.6.10 (Contraction Principle). Let X be a complete metric
- CONTINUED FRACTIONS Let a0, a1, . . . , an, . . . be an infinite sequence of positive integers. We define
- Lectures on Surfaces: (almost) everything you wanted to
- Geom Dedicata (2007) 124:109131 DOI 10.1007/s10711-006-9116-6
- 32 2. SYSTEMS WITH STABLE ASYMPTOTIC BEHAVIOR x near x = 16 by L(x) = f(16) + f (16)(x -16) = 4 + 1
- Invariant Measures for Higher Rank Hyperbolic Abelian Department of Mathematics
- The first half century of entropy: the most glorious number in dynamics
- ELEMENTARY HOMOTOPY THEORY Homotopy theory, which is the main part of algebraic topology, studies topo-
- Spectral Properties and Combinatorial Constructions in Ergodic Theory
- Partially Hyperbolic Dynamical Systems Boris Hasselblatt
- Various Ways of Representing Surfaces
- THE MONOTONICITY OF THE Lp Some of you pointed out to a problem in an old qualifying exam
- BASIC TOPOLOGY Topology, sometimes referred to as "the mathematics of continuity",
- REAL NUMBERS A field F is a set with two binary operations usually called addition and
- INVARIANT MEASURES ON G/ FOR SPLIT SIMPLE LIE-GROUPS G.
- NOTE ON ABSTRACT RIEMANN INTEGRAL Based on the Appendix to B. Hasselblatt and A. Katok, A First Course in Dynamics,
- 4. SOLUTIONS OF DIFFERENTIAL EQUATIONS 257 science is that they describe a system in a deterministic way. This means that for any
- RIEMANN SURFACE LAMINATIONS WITH SINGULARITIES Abstract. In these introductory notes we give the basics of the theory of
- JOURNAL OF MODERN DYNAMICS WEB SITE: http://www.math.psu.edu/jmd VOLUME 2, NO. 3, 2008, 375395
- Hyperbolic Dynamics, Invariant Geometric Structures and Rigidity
- hass1b v.2005/06/14 Prn:4/08/2005; 8:57 F:hass1bpre.tex; VTEX/JK p. 1 This second half of Volume 1 of this Handbook follows Volume 1A, which was published
- NON-UNIFORM MEASURE RIGIDITY FOR Zk ACTIONS OF SYMPLECTIC TYPE
- Clay Mathematics Proceedings Volume 8, 2008
- Proceedings of Symposia in Pure Mathematics Invariant Measures for actions of Higher
- MATH 502: REAL AND COMPLEX ANALYSIS SPRING 2004
- CY485-Brin-FM CY485-Brin 0521840732 April 19, 2004 20:24 Char Count= 0 MODERN DYNAMICAL SYSTEMS AND APPLICATIONS
- METRIC SPACES Based on the Appendix to B. Hasselblatt and A. Katok, A First Course in Dynamics,
- Ergod. Th. & Dynam. Sys. (1998), 18, 503507 Printed in the United Kingdom c 1998 Cambridge University Press
- Ergod. Th. & Dynam. Sys. (2000), 20, 259288 Printed in the United Kingdom c 2000 Cambridge University Press
- THE 1965 HUMSAN SCHOOL IN ERGODIC THEORY Anatole Katok
- Holomorphic dynamics in one variable: methods of ergodic theory Lectures at Penn State University, February March 2008, by Feliks Przytycki.
- RIGIDITY OF MEASURES THE HIGH ENTROPY CASE, AND NON-COMMUTING FOLIATIONS
- LOCAL RIGIDITY OF PARTIALLY HYPERBOLIC ACTIONS I. KAM METHOD AND Zk ACTIONS ON THE TORUS
- NONUNIFORM MEASURE RIGIDITY BORIS KALININ
- MEASURE AND COCYCLE RIGIDITY FOR CERTAIN NON-UNIFORMLY HYPERBOLIC ACTIONS OF HIGHER
- MASS-07; Geometry MWF 11:15am -12:05pm. Anatole Katok
- Recollections on the Warwick school of dynamics and contributions of Klaus
- ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY
- SMOOTH MANIFOLDS REVISITED We return to the general discussion of differentiable manifolds started in Chap-
- JOURNAL OF MODERN DYNAMICS WEB SITE: http://www.math.psu.edu/jmd VOLUME 1, NO. 1, 2007, 121144
- OPEN PROBLEMS IN DYNAMICS AND RELATED FIELDS ALEXANDER GORODNIK
- This has appeared in J. of Dynamical and Control Systems, vol 3, no 1, 1997, p. 51-89
- Curriculum Vitae ANATOLE KATOK
- Annals of Mathematics Bernoulli Diffeomorphisms and Group Extensions of Dynamical Systems with Non-Zero
- Inventionesmath. 61, 291-300 (1980) I~lue'Yltio~le$ mathematicae
- ENTROPY AND GROWTH OF EXPANDING PERIODIC ORBITS FOR ONEDIMENSIONAL MAPS
- JOURNAL OF MODERN DYNAMICS WEB SITE: http://www.math.psu.edu/jmd VOLUME 1, NO. 4, 2007, 545596
- CAUSTICS for INNER and OUTER Eugene Gutkin
- Proceedings of Symposia in Pure Mathematics Volume 00, 2001
- First Cohomology of Anosov Actions of Higher Rank Abelian Groups And Applications to Rigidity
- Subelliptic Estimates of Polynomial Differential Operators and Applications to Rigidity of Abelian Actions
- HIGHER COHOMOLOGY FOR ABELIAN GROUPS OF TORAL AUTOMORPHISMS
- HIGHER COHOMOLOGY FOR ABELIAN GROUPS OF TORAL AUTOMORPHISMS II: THE PARTIALLY HYPERBOLIC CASE,
- GLOBAL RIGIDITY RESULTS FOR LATTICE ACTIONS ON TORI AND NEW EXAMPLES OF VOLUME-PRESERVING ACTIONS
- Topobgy Vol. 35, No. 1, pp. 27-38, 1996 Copytight fJ 1995 Elscvin Sciettcc Ltd
- SECOND SERIES, VOL. 172, NO. 3 November, 2010
- DISCRETE AND CONTINUOUS doi:10.3934/dcds.2010.27.609 DYNAMICAL SYSTEMS
- RIGIDITY OF MEASURABLE STRUCTURE FOR ACTIONS BY AUTOMORPHISMS OF A TORUS
- Dynamical systems is the mathematical study of long-term behavior in systems that evolve in time, usually under unchanging rules. The broadness of this description corresponds
- TWO PROBLEMS IN MEASURE RIGIDITY ANATOLE KATOK
- OPEN PROBLEMS IN ELLIPTIC DYNAMICS ANATOLE KATOK*)
- MICHAEL BRIN PRIZE IN DYNAMICAL SYSTEMS Professor Michael Brin of the University of Maryland has endowed an in-
- On the Work and Vision of Dmitry Carlangelo Liverani
- Works on physical models with moving particles
- FALL 2000. MATH 527: TOPOLOGY/GEOMETRY Problem set 1; August 24, 2000
- GEOMETRIC STRUCTURES, SYMMETRY AND ELEMENTS OF LIE GROUPS
- INTRODUCTION TO DYNAMICAL SYSTEMS PROBLEM SET # 1
- SMOOTH GROUP ACTIONS AND RIGIDITY PROBLEM SET # 1
- MASS-Algebra FALL 2009 MWF 11:15am
- Lectures on Groups and Their Connections to Geometry
- TOPOLOGY AND GEOMETRY OF SURFACES Compact (and some noncompact) surfaces are a favorite showcase for various
- COVERING SPACES AND DISCRETE GROUPS We have already met covering spaces in Chapter 2, where our discussion was
- Simple dynamics as a tool In this chapter, the progression of the course from simple to complicated dynamics
- MATH 502: REAL AND COMPLEX ANALYSIS SPRING 2004
- MATH 502: REAL AND COMPLEX ANALYSIS SPRING 2004
- REU SUMMER 2007; July 1627 2007; Ten two-hour lectures, one on every weekday.
- Polynomial growth in nilpotent groups THEOREM Any finitely generated nilpotent group has polynomial growth.
- Groups of Intermediate Growth: an Introduction for Beginners
- 1.2. THE HYPERBOLIC PLANE 5 z1 w1 -z2 w2, i.e.
- REAL AND COMPLEX SMOOTH MANIFOLDS Abridged version from Introduction to Modern Topology and Geometry
- FUNDAMENTAL STRUCTURES OF CONTINUOUS MATHEMATICS SPRING 2004
- ERGODIC THEORY FROM HUMSAN TO VIENNA (19651997)
- Lectures 1 and 2 (180 min) 1. Introduction
- LECTURE NOTES FOR THE COURSE "LOCAL RIGIDITY OF GROUP ACTIONS "-PART II
- Equidistribution towards the Green current for holomorphic maps
- Super-potentials for currents on compact Kahler manifolds and dynamics of automorphisms
- MEASURE RIGIDITY. Lectures 1 and 2. Introduction and Z2
- HYPERBOLIC MEASURES AND COMMUTING MAPS IN LOW DIMENSION
- MASS-07; GEOMETRY FINAL EXAM TICKETS
- MATH 502: REAL AND COMPLEX ANALYSIS SPRING 2004
- Invent. math. 98, 581-597(1989) I]lverl tiolle$ mathematicae
- Publications results for "Items authored by or related to Katok, Anatole B. " MR2457050 Kalinin, Boris; Katok, Anatole; Rodriguez Hertz, Federico New
- FIRST COHOMOLOGY OF ANOSOV ACTIONS OF HIGHER RANK ABELIAN GROUPS AND APPLICATIONS TO RIGIDITY
- METRIC SPACES AND UNIFORM STRUCTURES The general notion of topology does not allow to compare neighborhoods of
- Billiard table as a mathematician's playground Lecture delivered on March 10, 1999
- Annals of Mathematics Bernoulli Diffeomorphisms on Surfaces
- CONSTRUCTIONS IN ELLIPTIC DYNAMICS. BASSAM FAYAD, ANATOLE KATOK*
- Ergod. Th. & Dynam. Sys. (2002), 22, 13431364 c 2002 Cambridge University Press DOI: 10.1017/S0143385702001062 Printed in the United Kingdom
- Introduction to Modern Topology and Geometry
- INFINITESIMAL LYAPUNOV FUNCTIONS, INVARIANT CONE FAMILIES AND
- MASS-07; GEOMETRY QUESTIONS FOR THE FINAL EXAM
- Annals of Mathematics Ergodic Theory and Weil Measures for Foliations
- Rigidity in holomorphic one-dimensional dynamics: Lecture One.
- An Overview 1. Basic topology
- SPRING 2006 597 F Topics in dynamical systems and ergodic theory
- Surfaces: (almost) everything you wanted to know about them
- MATH 502: REAL AND COMPLEX ANALYSIS SPRING 2004
- MATH 502: REAL AND COMPLEX ANALYSIS SPRING 2004
- LOCAL RIGIDITY OF PARTIALLY HYPERBOLIC ACTIONS. II. THE GEOMETRIC METHOD AND
- SLOW ENTROPY TYPE INVARIANTS AND SMOOTH REALIZATION OF COMMUTING
- JOURNAL OF MODERN DYNAMICS doi: 10.3934/jmd.2011.5.203 VOLUME 5, NO. 2, 2011, 203235
- JOURNAL OF MODERN DYNAMICS doi: 10.3934/jmd.2010.4.487 VOLUME 4, NO. 3, 2010, 487515
- SPACES: FROM ANALYSIS TO GEOMETRY AND BACK MASS 2011 LECTURE NOTES
- 6. BASIC TOPOLOGY 535 PROOF. Let a = X f d/(X ). By convexity the graph of g lies entirely above
- Groups of matrices: Linear algebra and symmetry in various geometries
- Excerpts from Introduction to
- JOURNAL OF MODERN DYNAMICS doi: 10.3934/jmd.2010.4.243 VOLUME 4, NO. 2, 2010, 243255
- Proof of Weiersrtass-Stone Theorem in general case: Any algebra A of continuous functions on a compact metric space X that
- JOURNAL OF MODERN DYNAMICS doi: 10.3934/jmd.2010.4.211 VOLUME 4, NO. 2, 2010, 211225
- JOURNAL OF MODERN DYNAMICS doi: 10.3934/jmd.2010.4.227 VOLUME 4, NO. 2, 2010, 227241
