Zobrazeno 1 - 10
of 56
pro vyhledávání: '"37A05, 37B05"'
Bratteli diagrams with countably infinite levels exhibit a new phenomenon: they can be horizontally stationary. The incidence matrices of these horizontally stationary Bratteli diagrams are infinite banded Toeplitz matrices. In this paper, we study t
Externí odkaz:
http://arxiv.org/abs/2409.10084
Generalized Bratteli diagrams with a countable set of vertices in every level are models for aperiodic Borel automorphisms. This paper is devoted to the description of all ergodic probability tail invariant measures on the path spaces of generalized
Externí odkaz:
http://arxiv.org/abs/2404.14654
In 2010, Bezuglyi, Kwiatkowski, Medynets and Solomyak [Ergodic Theory Dynam. Systems 30 (2010), no.4, 973-1007] found a complete description of the set of probability ergodic tail invariant measures on the path space of a standard (classical) station
Externí odkaz:
http://arxiv.org/abs/2402.17046
Bratteli-Vershik models have been very successfully applied to the study of various dynamical systems, in particular, in Cantor dynamics. In this paper, we study dynamics on the path spaces of generalized Bratteli diagrams that form models for non-co
Externí odkaz:
http://arxiv.org/abs/2212.13803
Autor:
Backes, Lucas, Rodrigues, Fagner B.
We prove a variational principle for the upper and lower metric mean dimension of level sets \[ \left\{x\in X: \lim_{n\to\infty}\frac{1}{n}\sum_{j=0}^{n-1}\varphi(f^{j}(x))=\alpha\right\} \] associated to continuous potentials $\varphi:X\to \mathbb R
Externí odkaz:
http://arxiv.org/abs/2207.03238
We study substitutions on countably infinite alphabet (without compactification) as Borel dynamical systems. We construct stationary and non-stationary generalized Bratteli-Vershik models for a class of such substitutions, known as left determined. I
Externí odkaz:
http://arxiv.org/abs/2203.14127
Autor:
Edeko, Nikolai, Kreidler, Henrik
We generalize a result of Lindenstrauss on the interplay between measurable and topological dynamics which shows that every separable ergodic measurably distal dynamical system has a minimal distal model. We show that such a model can, in fact, be ch
Externí odkaz:
http://arxiv.org/abs/2202.03456
Autor:
Bas, A. Linero, López, G. Soler
In this paper we prove the existence of minimal non uniquely ergodic flipped IETs. In particular, we build explicitly minimal non uniquely ergodic $(10,k)$-IETs for any $1\leq k \leq 10$. This answers an open question posed in [C.~Gutierrez, S.~Lloyd
Externí odkaz:
http://arxiv.org/abs/2001.10989
Autor:
Bezuglyi, S., Karpel, O.
This paper is a survey devoted to the study of probability and infinite ergodic invariant measures for aperiodic homeomorphisms of a Cantor set. We focus mostly on the cases when a homeomorphism has either a unique ergodic invariant measure or finite
Externí odkaz:
http://arxiv.org/abs/1904.09666
Autor:
de Mourgues, Quentin
Rauzy-type dynamics are group actions on a collection of combinatorial objects. The first and best known example (the Rauzy dynamics) concerns an action on permutations, associated to interval exchange transformations (IET) for the Poincar\'e map on
Externí odkaz:
http://arxiv.org/abs/1804.09709