Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Dominik Kwietniak"'
Autor:
Dominik, Kwietniak, Martha, Łącka
The GIKN construction was introduced by Gorodetski, Ilyashenko, Kleptsyn, and Nalsky in [Functional Analysis and its Applications, 39 (2005), 21--30]. It gives a nonhyperbolic ergodic measure which is a weak$^*$ limit of a special sequence of measure
Externí odkaz:
http://arxiv.org/abs/1702.01962
Publikováno v:
Ergodic Theory and Dynamical Systems. 43:943-970
We study approximation schemes for shift spaces over a finite alphabet using (pseudo)metrics connected to Ornstein’s ${\bar d}$ metric. This leads to a class of shift spaces we call ${\bar d}$ -approachable. A shift space is ${\bar d}$ -approachabl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::671a891fcd2243ec1658ffa6a2989d88
https://doi.org/10.1017/etds.2021.167
https://doi.org/10.1017/etds.2021.167
Given a topological dynamical system $(X,T)$, we study properties of the mean orbital pseudo-metric $\bar E$ defined by \[ \bar E(x,y)= \limsup_{n\to\infty } \min_{\sigma\in S_n}\frac{1}{n}\sum_{k=0}^{n-1}d(T^k(x),T^{\sigma(k)}(y)), \] where $x,y\in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa66ac9a904b5065b039f8b14bffbff5
http://arxiv.org/abs/2303.11487
http://arxiv.org/abs/2303.11487
Publikováno v:
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2021, 22 (4), pp.1643-1672. ⟨10.2422/2036-2145.202001_014⟩
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2021, 22 (4), pp.1643-1672. ⟨10.2422/2036-2145.202001_014⟩
We prove that for some manifolds $M$ the set of robustly transitive partially hyperbolic diffeomorphisms of $M$ with one-dimensional nonhyperbolic centre direction contains a $C^1$-open and dense subset of diffeomorphisms with nonhyperbolic measures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62ddf962eb01bb97493302361811d3c3
https://hal.science/hal-03860928
https://hal.science/hal-03860928
Autor:
Gabriel Fuhrmann, Dominik Kwietniak
Let $(X,G)$ be a minimal equicontinuous dynamical system, where $X$ is a compact metric space and $G$ some topological group acting on $X$. Under very mild assumptions, we show that the class of regular almost automorphic extensions of $(X,G)$ contai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70a63586b87f90826cb772c70ad7656e
https://ruj.uj.edu.pl/xmlui/handle/item/152999
https://ruj.uj.edu.pl/xmlui/handle/item/152999
Assume that a sequence $x=x_0x_1\ldots$ is frequency-typical for a finite-valued stationary stochastic process $\textbf X$. We prove that the function associating to $x$ the entropy-rate $\bar H(\textbf X)$ of $\textbf X$ is uniformly continuous when
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67a2a731367a75079eaddd600aa6fde8
Publikováno v:
Proceedings of the American Mathematical Society. 146:3425-3438
We show that the set of ergodic invariant measures of a shift space with a safe symbol (this includes all hereditary shifts) is arcwise connected when endowed with the $d$-bar metric. As a consequence the set of ergodic measures of such a shift is al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9641011873ebf3b4b7d5f207ebed728a
https://doi.org/10.1090/proc/14029
https://doi.org/10.1090/proc/14029
Publikováno v:
New Trends in One-Dimensional Dynamics ISBN: 9783030168322
We show that topological mixing, weak mixing, the strong property P, and total transitivity are equivalent for coded systems (shift spaces presented by labeling the edges of a countable irreducible graphs by symbols from a finite alphabet). We provid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f038dd0b2834072ce5f8d3eb1f0a8115
https://ruj.uj.edu.pl/xmlui/handle/item/130399
https://ruj.uj.edu.pl/xmlui/handle/item/130399
Publikováno v:
Ergodic Theory and Dynamical Systems. 37:2077-2083
Hoehn and Mouron [Hierarchies of chaotic maps on continua. Ergod. Th. & Dynam. Sys.34 (2014), 1897–1913] constructed a map on the universal dendrite that is topologically weakly mixing but not mixing. We modify the Hoehn–Mouron example to show th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2450aaa6c3df8d9d080286a6721470e9
https://doi.org/10.1017/etds.2015.136
https://doi.org/10.1017/etds.2015.136
We study the Borel complexity of sets of normal numbers in several numeration systems. Taking a dynamical point of view, we offer a unified treatment for continued fraction expansions and base $r$ expansions, and their various generalisations: genera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38349b78d633dc442314c83594ffa3e5
http://arxiv.org/abs/1811.04450
http://arxiv.org/abs/1811.04450