Zobrazeno 1 - 10
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pro vyhledávání: '"Zheng, Tianyi"'
Let $\Gamma$ be a finitely generated group, and let $\mu$ be a nondegenerate, finitely supported probability measure on $\Gamma$. We show that every co-compact $\Gamma$ action on a locally compact Hausdorff space admits a nonzero $\mu$-stationary Rad
Externí odkaz:
http://arxiv.org/abs/2410.23600
In this paper, we study the growth of confined subgroups through boundary actions of groups with contracting elements. We establish that the growth rate of a confined subgroup is strictly greater than half of the ambient growth rate in groups with pu
Externí odkaz:
http://arxiv.org/abs/2405.09070
Autor:
Li, Zhiqiang, Zheng, Tianyi
An analog of the prime number theorem for a class of branched covering maps on the $2$-sphere $S^2$ called expanding Thurston maps, which are topological models of some non-uniformly expanding rational maps without any smoothness or holomorphicity as
Externí odkaz:
http://arxiv.org/abs/2312.06687
Autor:
Li, Zhiqiang, Zheng, Tianyi
We obtain an analog of the prime number theorem for a class of branched covering maps on the $2$-sphere $S^2$ called expanding Thurston maps, which are topological models of some non-uniformly expanding rational maps without any smoothness or holomor
Externí odkaz:
http://arxiv.org/abs/2312.06688
Autor:
Li, Zhiqiang, Zheng, Tianyi
Publikováno v:
Published in Adv. Math. 443, 2024, 109600. 89 pages
We obtain an analog of the prime number theorem for a class of branched covering maps on the $2$-sphere $S^2$ called expanding Thurston maps, which are topological models of some non-uniformly expanding rational maps without any smoothness or holomor
Externí odkaz:
http://arxiv.org/abs/2312.05514
Autor:
Brieussel, Jérémie, Zheng, Tianyi
We determine Furstenberg entropy spectra of ergodic stationary actions of $SL(d,\mathbb{R})$ and its lattices. The constraints on entropy spectra are derived from a refinement of the Nevo-Zimmer projective factor theorem. The realisation part is achi
Externí odkaz:
http://arxiv.org/abs/2307.01495
Conformal dimension is a fundamental invariant of metric spaces, particularly suited to the study of self-similar spaces, such as spaces with an expanding self-covering (e.g. Julia sets of complex rational functions). The dynamics of these systems ar
Externí odkaz:
http://arxiv.org/abs/2305.14545
Artificial Intelligence (AI) is making a profound impact in almost every domain. One of the crucial factors contributing to this success has been the access to an abundance of high-quality data for constructing machine learning models. Lately, as the
Externí odkaz:
http://arxiv.org/abs/2305.11191
Autor:
Zheng, Tianyi
The face anti-spoofing (FAS) method performs well under intra-domain setups. However, its cross-domain performance is unsatisfactory. As a result, the domain generalization (DG) method has gained more attention in FAS. Existing methods treat FAS as a
Externí odkaz:
http://arxiv.org/abs/2302.08674