Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Krawiec, Magdalena"'
A compact space $Y$ is called homeo-product-minimal if given any minimal system $(X,T)$, it admits a homeomorphism $S:Y\to Y$, such that the product system $(X\times Y,T\times S)$ is minimal. We show that a large class of cofrontiers is homeo-product
Externí odkaz:
http://arxiv.org/abs/2304.11469
We study the metric mean dimension of $\Phi$-irregular set $I_{\Phi}(f)$ in dynamical systems with the shadowing property. In particular we prove that for dynamical systems with shadowing containing a chain recurrent class $Y$, the values of topologi
Externí odkaz:
http://arxiv.org/abs/2211.03503
Publikováno v:
Discrete and Continuous Dynamical Systems (2021)
In the paper we study what sets can be obtained as $\alpha$-limit sets of backward trajectories in graph maps. We show that in the case of mixing maps, all those $\alpha$-limit sets are $\omega$-limit sets and for all but finitely many points $x$, we
Externí odkaz:
http://arxiv.org/abs/2106.05539
We are interested in dendrites for which all invariant measures of zero-entropy mappings have discrete spectrum, and we prove that this holds when the closure of the endpoint set of the dendrite is countable. This solves an open question which was ar
Externí odkaz:
http://arxiv.org/abs/2104.01356
A compact space $X$ is said to be minimal if there exists a map $f:X\to X$ such that the forward orbit of any point is dense in $X$. We consider rigid minimal spaces, motivated by recent results of Downarowicz, Snoha, and Tywoniuk [J. Dyn. Diff. Eq.,
Externí odkaz:
http://arxiv.org/abs/1912.12858
We study the properties of $\Phi$-irregular sets (sets of points for which the Birkhoff average diverges) in dynamical systems with the shadowing property. We estimate the topological entropy of $\Phi$-irregular set in terms of entropy on chain recur
Externí odkaz:
http://arxiv.org/abs/1909.08463
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Akademický článek
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Publikováno v:
In Journal of Mathematical Analysis and Applications 1 August 2017 452(1):659-672