Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Gan, Shaobo"'
Let $\mathscr{X}^r(M)$ be the set of $C^r$ vector fields on a boundaryless compact Riemannian manifold $M$. Given a vector field $X_0\in\mathscr{X}^r(M)$ and a compact invariant set $\Gamma$ of $X_0$, we consider the closed subset $\mathscr{X}^r(M,\G
Externí odkaz:
http://arxiv.org/abs/2411.03629
Autor:
Yu, Daohua, Gan, Shaobo
We prove that any ergodic endomorphism on torus admits a sequence of periodic orbits uniformly distributed in the metric sense. As a corollary, an endomorphism on torus is ergodic if and only if the Haar measure can be approximated by periodic measur
Externí odkaz:
http://arxiv.org/abs/2407.19665
Let $f$ be a non-invertible irreducible Anosov map on $d$-torus. We show that if the stable bundle of $f$ is one-dimensional, then $f$ has the integrable unstable bundle, if and only if, every periodic point of $f$ admits the same Lyapunov exponent o
Externí odkaz:
http://arxiv.org/abs/2205.13144
We show that for a $C^1$ generic vector field $X$ away from homoclinic tangencies, a nontrivial Lyapunov stable chain recurrence class is a homoclinic class. The proof uses an argument with $C^2$ vector fields approaching $X$ in $C^1$ topology, with
Externí odkaz:
http://arxiv.org/abs/2202.09742
In this paper we consider the semi-continuity of the physical-like measures for diffeomorphisms with dominated splittings. We prove that any weak-* limit of physical-like measures along a sequence of $C^1$ diffeomorphisms $\{f_n\}$ must be a Gibbs $F
Externí odkaz:
http://arxiv.org/abs/2009.11089
Publikováno v:
Ergodic Theory and Dynamical Systems, 2021
In this paper, we study the centralizer of a partially hyperbolic diffeomorphism on $\mathbb{T}^3$ which is homotopic to an Anosov automorphism, and we show that either its centralizer is virtually trivial or such diffeomorphism is smoothly conjugate
Externí odkaz:
http://arxiv.org/abs/2006.00450
Autor:
Gan, Shaobo, Shi, Yi
For every $r\in\mathbb{N}_{\geq2}\cup\{\infty\}$, we prove the $C^r$-closing lemma for general and conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle. In particular, it implies periodic points are dense for $C^r$-gen
Externí odkaz:
http://arxiv.org/abs/2004.06855
We call a partially hyperbolic diffeomorphism \emph{partially volume expanding} if the Jacobian restricted to any hyperplane that contains the unstable bundle $E^u$ is larger than $1$. This is a $C^1$ open property. We show that any $C^{1+}$ partiall
Externí odkaz:
http://arxiv.org/abs/2003.11918
Let f be an Anosov diffeomorphism on a nilmanifold. We consider Birkhoff sums for a Holder continuous observation along periodic orbits. We show that if there are two Birkhoff sums distributed at both sides of zero, then the set of Birkhoff sums of a
Externí odkaz:
http://arxiv.org/abs/2003.03935
Autor:
LI Zerun, TIAN Yanjun, HUANG Yanhong, NIE Yupeng, SUN Ping, WANG Shanshan, GAN Shaobo, XU Hui
Publikováno v:
Shipin Kexue, Vol 44, Iss 11, Pp 79-85 (2023)
Resistant dextrin (RD) prepared from corn starch by different processes vary in structure and physicochemical properties and in turn resistance to human digestive enzymes. In this research, the solubility, bond structure, digestibility and morphologi
Externí odkaz:
https://doaj.org/article/365fec3c139e40efba64b2571f941c02
