Zobrazeno 1 - 10
of 11
pro vyhledávání: '"35"'
Autor:
Best, Andrew, Moragues, Andreu Ferré
A recent result of Frantzikinakis establishes sufficient conditions for joint ergodicity in the setting of $\mathbb{Z}$-actions. We generalize this result for actions of second-countable locally compact abelian groups. We obtain two applications of t
Externí odkaz:
http://arxiv.org/abs/2105.04008
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed to be countable and the space need not be separable. This generalizes a previous result of Bergelson, McCutcheon and Zhang, and complements a result o
Externí odkaz:
http://arxiv.org/abs/2101.00685
Autor:
Chu, Qing, Zorin-Kranich, Pavel
Publikováno v:
Ergod. Th. Dynam. Sys. 35 (2014) 1746-1766
Let $T_1$, $T_2$ be two commuting probability measure-preserving actions of a countable amenable group such that the group spanned by these actions acts ergodically. We show that $\mu(A\cap T_1^g A\cap T_1^g T_2^g A) > \mu(A)^4-{\epsilon}$ on a synde
Externí odkaz:
http://arxiv.org/abs/1309.6095
Publikováno v:
Ergod. Th. Dynam. Sys. 35 (2014) 1767-1782
Let A be a finite alphabet and f: A^* --> A^* be a morphism with an iterative fixed point f^\omega(\alpha), where \alpha{} is in A. Consider the subshift (X, T), where X is the shift orbit closure of f^\omega(\alpha) and T: X --> X is the shift map.
Externí odkaz:
http://arxiv.org/abs/1307.5329
Autor:
Kupsa, Michal, Starosta, Štepán
Publikováno v:
Discrete and Continuous Dynamical Systems - Series A, Volume 35, Issue 8, August 2015, 3483-3501
In the dynamics of a rotation of the unit circle by an irrational angle $\alpha\in(0,1)$, we study the evolution of partitions whose atoms are finite unions of left-closed right-open intervals with endpoints lying on the past trajectory of the point
Externí odkaz:
http://arxiv.org/abs/1303.3387
Publikováno v:
Ergod. Th. Dynam. Sys. 35 (2015) 403-411
We prove a multiple recurrence result for arbitrary measure-preserving transformations along polynomials in two variables of the form $m+p_i(n)$, with rationally independent $p_i$'s with zero constant term. This is in contrast to the single variable
Externí odkaz:
http://arxiv.org/abs/1302.5571
Publikováno v:
Ergod. Th. Dynam. Sys. 35 (2015) 142-151
In this paper we study the maximal pattern complexity of infinite words up to Abelian equivalence. We compute a lower bound for the Abelian maximal pattern complexity of infinite words which are both recurrent and aperiodic by projection. We show tha
Externí odkaz:
http://arxiv.org/abs/1301.5113
Publikováno v:
Ergod. Th. Dynam. Sys. 35 (2014) 2371-2396
Consider the space of sequences of k letters ordered lexicographically. We study the set M({\alpha}) of all maximal sequences for which the asymptotic proportions {\alpha} of the letters are prescribed, where a sequence is said to be maximal if it is
Externí odkaz:
http://arxiv.org/abs/1301.0458
Autor:
Kim, Dong Han, Lim, Seonhee
Publikováno v:
Ergod. Th. Dynam. Sys. 35 (2015) 461-481
In this article, we study subword complexity of colorings of regular trees. We characterize colorings of bounded subword complexity and study Sturmian colorings, which are colorings of minimal unbounded subword complexity. We classify Sturmian colori
Externí odkaz:
http://arxiv.org/abs/1212.3064
Autor:
Mugnolo, Delio
We study the discrete version of the $p$-Laplacian. Based on its variational properties we discuss some features of the associated parabolic problem. Our approach allows us in turn to obtain interesting information about positivity and comparison pri
Externí odkaz:
http://arxiv.org/abs/1207.1996