Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Donoso, Sebastián"'
We establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations. This result provides the first topological analogue of the classical Berend and B
Externí odkaz:
http://arxiv.org/abs/2404.07876
We study the topological recurrence phenomenon of actions of locally compact abelian groups on compact metric spaces. We address the popular Katznelson's question in this context and extend recurrence lifting results, known for $\mathbb{Z}$-actions,
Externí odkaz:
http://arxiv.org/abs/2402.16838
We develop combinatorial tools to study partial rigidity within the class of minimal $\mathcal{S}$-adic subshifts. By leveraging the combinatorial data of well-chosen Kakutani-Rokhlin partitions, we establish a necessary and sufficient condition for
Externí odkaz:
http://arxiv.org/abs/2312.12406
We prove a pointwise convergence result for additive ergodic averages associated with certain multiplicative actions of the Gaussian integers. We derive several applications in dynamics and number theory, including: (i) Wirsing's theorem for Gaussian
Externí odkaz:
http://arxiv.org/abs/2309.07249
We provide necessary and sufficient conditions for joint ergodicity results for systems of commuting measure preserving transformations for an iterated Hardy field function of polynomial growth. Our method builds on and improves recent techniques due
Externí odkaz:
http://arxiv.org/abs/2301.06911
We develop a geometric framework to address asymptoticity and nonexpansivity in topological dynamics. Our framework can be applied when the acting group is second countable and locally compact. As an application, we show extensions of Schwartzman's t
Externí odkaz:
http://arxiv.org/abs/2210.00115
In recent years there have been considerable advances in pre-trained language models, where non-English language versions have also been made available. Due to their increasing use, many lightweight versions of these models (with reduced parameters)
Externí odkaz:
http://arxiv.org/abs/2204.09145
We study directional mean dimension of $\mathbb{Z}^k$-actions (where $k$ is a positive integer). On the one hand, we show that there is a $\mathbb{Z}^2$-action whose directional mean dimension (considered as a $[0,+\infty]$-valued function on the tor
Externí odkaz:
http://arxiv.org/abs/2108.06308
We show that, under finitely many ergodicity assumptions, any multicorrelation sequence defined by invertible measure preserving $\mathbb{Z}^d$-actions with multivariable integer polynomial iterates is the sum of a nilsequence and a null sequence, ex
Externí odkaz:
http://arxiv.org/abs/2106.01058
We study sets of recurrence, in both measurable and topological settings, for actions of $(\mathbb{N},\times)$ and $(\mathbb{Q}^{>0},\times)$. In particular, we show that autocorrelation sequences of positive functions arising from multiplicative sys
Externí odkaz:
http://arxiv.org/abs/2101.02832