Zobrazeno 1 - 10
of 142
pro vyhledávání: '"28D99"'
Autor:
Dębowski, Łukasz
Motivated by problems of statistical language modeling, we consider probability measures on infinite sequences over two countable alphabets of a different cardinality, such as letters and words. We introduce an invertible mapping between such measure
Externí odkaz:
http://arxiv.org/abs/2409.13600
Autor:
Garrity, Thomas, Duke, Jacob Lehmann
Our goal is to show that both the fast and slow versions of the triangle map (a type of multi-dimensional continued fraction algorithm) in dimension $n$ are ergodic, resolving a conjecture of Messaoudi, Noguiera and Schweiger. This particular type of
Externí odkaz:
http://arxiv.org/abs/2409.05822
Autor:
Masuda, Toshihiko
Publikováno v:
Ergod. Th. Dynam. Sys. 44 (2024) 3290-3315
We apply Evans-Kishimoto's intertwining argument to the classification of actions of discrete amenable groups into the normalizer of a full group of an ergodic transformation. Our proof does not depend on the types of ergodic transformations.
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Externí odkaz:
http://arxiv.org/abs/2210.15916
Autor:
Meyerovitch, Tom, Spinka, Yinon
We show that any finite-entropy, countable-valued finitary factor of an i.i.d process can also be expressed as a finitary factor of a finite-valued i.i.d process whose entropy is arbitrarily close to the target process. As an application, we give an
Externí odkaz:
http://arxiv.org/abs/2201.06542
For a large class of transitive non-hyperbolic systems, we construct nonhyperbolic ergodic measures with entropy arbitrarily close to its maximal possible value. The systems we consider are partially hyperbolic with one-dimension central direction fo
Externí odkaz:
http://arxiv.org/abs/2104.11638
Autor:
Ruggiero, Rafael O., Gelfert, Katrin
We study the geodesic flow of a compact surface without conjugate points and genus greater than one and continuous Green bundles. Identifying each strip of bi-asymptotic geodesics induces an equivalence relation on the unit tangent bundle. Its quotie
Externí odkaz:
http://arxiv.org/abs/2009.11365
We consider skew-products with concave interval fiber maps over a certain subshift obtained as the projection of orbits staying in a given region. It generates a new type of (essentially) coded shift. The fiber maps have expanding and contracting reg
Externí odkaz:
http://arxiv.org/abs/2004.06742
Autor:
Basu, Sanjib, Sen, Debasish
There are certain countably generated sigma-algebras of sets in the real line which do not admit any non-zero, sigma-finite, diffused (or, continuous) measure. Such countably generated sigma-algebras can be obtained by the use of some special types o
Externí odkaz:
http://arxiv.org/abs/2002.00334
Autor:
Spinka, Yinon
We show that any finitely dependent invariant process on a transitive amenable graph is a finitary factor of an i.i.d. process. With an additional assumption on the geometry of the graph, namely that no two balls with different centers are identical,
Externí odkaz:
http://arxiv.org/abs/1901.00123
The range process $R_n$ of a random walk is the collection of sites visited by the random walk up to time $n$. In this work we deal with the question of whether the range process of a random walk or the range process of a cocycle over an ergodic tran
Externí odkaz:
http://arxiv.org/abs/1810.10454