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...
Luis Barreira, Yakov Pesin, J Org Schmeling
of a smooth Riemannian manifold possesses asymptotically \almost " local product structure, i.e., its density can be approximated by the product of the densities on stable and unstable...
Luis Barreira, Yakov Pesin, J Org Schmeling
of a smooth Riemannian manifold possesses asymptotically \almost " local product structure, i.e., its density can be approximated by the product of the densities on stable and unstable...
MULTIFRACTAL SPECTRA AND MULTIFRACTAL RIGIDITY FOR HORSESHOES (2007)
Luis Barreira, Yakov Pesin, J Org Schmeling
Abstract. We discuss a general concept of multifractality, and give a complete description of the multifractal spectra for Gibbs measures on two-dimensional horseshoes. We discuss a multifractal...
Lifting Measures to Inducing Schemes (2007)
Pesin, Yakov, Senti, Samuel, Zhang, Ke
In this paper we study the liftability property for piecewise continuous maps of compact metric spaces, which admit inducing schemes in the sense of Pesin and Senti [PS05, PS06]. We show that under...
Equilibrium Measures for Maps with Inducing Schemes (2006)
We introduce a class of continuous maps f of a compact metric space I admitting inducing schemes and describe the tower constructions associated with them. We then establish a thermodynamical...
Pesin Smooth ergodic theory and nonuniformly hyperbolic dynamics (2006)
1. Lyapunov exponents of dynamical systems 3 2. Examples of systems with nonzero exponents 6 3. Lyapunov exponents associated with sequences of matrices 18
Thermodynamical Formalism Associated with Inducing Schemes for One-dimensional Maps (2005)
For a smooth map f of a compact interval I admitting an inducing scheme we establish a thermodynamical formalism, i.e., describe a class of real-valued potential functions $\phi$ on I which admit a...
Dimension and product structure of hyperbolic measures (1999)
Barreira, Luis, Pesin, Yakov, Schmeling, Jörg
We prove that every hyperbolic measure invariant under a $C^{1+\alpha}$ diffeomorphism of a smooth Riemannian manifold possesses asymptotically "almost" local product structure, i.e., its density can...
Dimension and product structure of hyperbolic measures (1999)
Barreira, Luis, Pesin, Yakov, Schmeling, Jörg
We prove that every hyperbolic measure invariant under a C^{1+\alpha} diffeomorphism of a smooth Riemannian manifold possesses asymptotically ``almost'' local product structure, i.e., its density can...
Dimension And Product Structure Of Hyperbolic Measures (1999)
Luis Barreira, Yakov Pesin, Jörg Schmeling
We prove that every hyperbolic measure invariant under a C di#eomorphism of a smooth Riemannian manifold possesses asymptotically "almost" local product structure, i.e., its density can be...
Luis Barreira, Yakov Pesin, Jörg Schmeling
Abstract. We introduce the mathematical concept of multifractality and describe various multifractal spectra for dynamical systems, including spectra for dimensions and spectra for entropies. We...
. We establish the complete multifractal formalism for Gibbs measures for conformal expanding maps and Markov Moran geometric constructions. Examples include Markov maps of an interval, hyperbolic...
Multifractal Spectra and Multifractal Rigidity for Horseshoes (1997)
Luis Barreira, Yakov Pesin, Jörg Schmeling
We discuss a general concept of multifractality, and give a complete description of the multifractal spectra for Gibbs measures on two-dimensional horseshoes. We discuss a multifractal...
Multifractal Spectra and Multifractal Rigidity for Horseshoes (1997)
Luis Barreira, Yakov Pesin, Jörg Schmeling, To Dmitriĭ, Viktorovich Anosov
We discuss a general concept of multifractality, and give a complete description of the multifractal spectra for Gibbs measures on two-dimensional horseshoes. We discuss a multifractal...
On the pointwise dimension of hyperbolic measures: a proof of the Eckmann{Ruelle conjecture (1996)
Luis Barreira, Yakov Pesin, Jörg Schmeling
Abstract. We prove the long-standing Eckmann–Ruelle conjecture in dimension theory of smooth dynamical systems. We show that the pointwise dimension exists almost everywhere with respect to a...
Key words and phrases. Hausdorff dimension, box dimension, Cantor-like set, geometric construction, random geometric construction, gauge function, Eckmann-Ruelle Conjecture.
On the pointwise dimension of hyperbolic measures: a proof of the Eckmann{Ruelle conjecture (1996)
Luis Barreira, Yakov Pesin, J Org Schmeling
Abstract. We prove the long-standing Eckmann--Ruelle conjecture in dimension theory of smooth dynamical systems. We show that the pointwise dimension exists almost everywhere with respect to a...
Luis Barreira, Luis Barreira, Yakov Pesin, Yakov Pesin, J Org Schmeling
Abstract. We introduce the mathematical concept of multifractality and describe various multifractal spectra for dynamical systems, including spectra for dimensions and spectra for entropies. We...
On the Pointwise Dimension of Hyperbolic Measures: a Proof of the Eckmann-Ruelle Conjecture (1996)
Luis Barreira, Yakov Pesin, Jörg Schmeling, J Org Schmeling
. We prove the long-standing Eckmann--Ruelle conjecture in dimension theory of smooth dynamical systems. We show that the pointwise dimension exists almost everywhere with respect to a compactly...
Luis Barreira, Yakov Pesin, Jörg SCHMELING, J Org Schmeling
We introduce the mathematical concept of multifractality and describe various multifractal spectra for dynamical systems, including spectra for dimensions and spectra for entropies. We support the...
In this paper we unify and extend many of the known results on the dimensions of deterministic and random Cantor-like sets in R n using their symbolic representation. We also construct several new...
. In this paper we unify and extend many of the known results on the dimensions of deterministic and random Cantor-like sets in R n using their symbolic representation. We also construct several new...