2. Smooth realization of measure-preserving transformations (Anatole Katok) 3 3. Coexistence of KAM circles and positive entropy in areapreserving
Boris Hasselblatt, Anatole Katok
Jürgen Moser (1928–1999) was one of the most accomplished mathematicians of the second half of the 20th century and his work had a major impact in broad areas of analysis, especially partial...
Supported by the Austrian Federal Ministry of Education, Science and Culture (2008)
Boris Hasselblatt, Yakov Pesin, Jörg Schmeling, Boris Hasselblatt, Yakov Pesin, Jörg Schmeling
Abstract. We provide a general mechanism for obtaining uniform information from pointwise data. A sample result is that if a diffeomorphism of a compact Riemannian manifold has pointwise expanding...
Boris Hasselblatt, Amie Wilkinson
Abstract. We give sharp regularity results for the invariant subbundles of hyperbolic dynamical systems in terms of contraction and expansion rates and prove optimality in a strong sense: we...
Boris Hasselblatt, Anatole Katok
1. Purpose and structure 13 2. The basic objects of dynamics 14 a. What is a dynamical system 14
CRITICAL REGULARITY OF INVARIANT FOLIATIONS (2007)
ABSTRACT. We exhibit an open set of symplectic Anosov diffeomorphisms on which there are discrete “jumps ” in the regularity of the unstable subbundle. It is either highly irregular almost...
ZYGMUND STRONG FOLIATIONS (2007)
Patrick Foulon, Boris Hasselblatt
ABSTRACT. We show that for a volume-preserving Anosov flow on a 3-manifold the strong stable and unstable foliations are Zygmund-regular. We also exhibit an obstruction to higher regularity, which...
Regularity of the Anosov splitting and A new description of the Margulis measure (2007)
The Anosov splitting into stable and unstable manifolds of hyperbolic dynamical systems has been known to be Holder continuous always and differentiable under bunching or dimensionality conditions....
Degree-growth of monomial maps (2006)
Hasselblatt, Boris, Propp, James
For projectivizations of rational maps Bellon and Viallet defined the notion of algebraic entropy using the exponential growth rate of the degrees of iterates. We want to call this notion to the...
Topological entropy for non-uniformly continuous maps (2005)
Hasselblatt, Boris, Nitecki, Zbigniew, Propp, James
The topological entropy of a continuous self-map of a compact metric space can be defined in several distinct ways; when the space is not assumed compact, these definitions can lead to distinct...
The Riccati Equation: Pinching of Forcing and Solutions (2003)
Gerber, Marlies, Hasselblatt, Boris, Keesing, Daniel
A problem at the interface of differential geometry and dynamical systems gives rise to the question of what control of solutions of the Riccati equation {$\dot x+x^2=k(t)$} with positive right-hand...
Prevalence of non-Lipschitz Anosov foliations. Ergodic Theory Dynam (1999)
Boris Hasselblatt, Amie Wilkinson
To the memory of Gunnar Hasselblatt, 19.8.1928--12.7.1997 Abstract. We give sharp regularity results for the invariant subbundles of hyperbolic dynamical systems and give open dense sets of...
Prevalence of non-Lipschitz Anosov foliations. Ergodic Theory Dynam (1999)
Boris Hasselblatt, Amie Wilkinson
Abstract. We give sharp regularity results for the invariant subbundles of hyperbolic dynamical systems and give open dense sets of codimension one systems where this regularity is not exceeded as...
Prevalence of non-Lipschitz Anosov foliations Elektronische Daten (1997)
Hasselblatt, Boris, Wilkinson, Amie
Institute for Mathematical Research
Prevalence of non-Lipschitz Anosov foliations (1997)
Boris Hasselblatt, Amie Wilkinson
. We give sharp regularity results for the invariant subbundles of hyperbolic dynamical systems and give open dense sets of codimension one systems where this regularity is not exceeded as well as...
Prevalence Of Non-Lipschitz Anosov Foliations (1997)
Boris Hasselblatt, AMIE WILKINSON
. We give sharp regularity results for the invariant subbundles of hyperbolic dynamical systems in terms of contraction and expansion rates and prove optimality in a strong sense: we construct open...
Prevalence of Non-Lipschitz Anosov Foliations (1997)
Boris Hasselblatt, Amie Wilkinson
. We give sharp regularity results for the invariant distributions of hyperbolic dynamical systems in terms of eigenvalue data at periodic points and prove optimality in a strong sense: we construct...
Introduction to the modern theory of dynamical systems (1996)
Katok, Anatole, Hasselblatt, Boris
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Introduction to the modern theory of dynamical systems / Anatole Katok (1996)
Katok, A. B, Hasselblatt, Boris
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Regularity of the Anosov splitting and A new description of the Margulis measure (1989)
The Anosov splitting into stable and unstable manifolds of hyperbolic dynamical systems has been known to be Holder continuous always and differentiable under bunching or dimensionality conditions....