Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Ai-Hua Fan"'
Publikováno v:
Journal of Mathematical Analysis and Applications. 262(1):446-451
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36c7400dfd7e1bfbb3443ff5f60fe58a
For $x\in [0,1)$, let $x=[a_1(x), a_2(x),...]$ be its continued fraction expansion with partial quotients ${a_n(x), n\ge 1}$. Let $\psi : \mathbb{N} \rightarrow \mathbb{N}$ be a function with $\psi(n)/n\to \infty$ as $n\to \infty$. In this note, the
Externí odkaz:
http://arxiv.org/abs/1208.1825
We propose to study multiple ergodic averages from multifractal analysis point of view. In some special cases in the symbolic dynamics, Hausdorff dimensions of the level sets of multiple ergodic average limit are determined by using Riesz products.
Externí odkaz:
http://arxiv.org/abs/1105.3032
Autor:
Ai-Hua, Fan, Liao, Lingmin
A polynomial of degree $\ge 2$ with coefficients in the ring of $p$-adic numbers $\mathbb{Z}_p$ is studied as a dynamical system on $\mathbb{Z}_p$. It is proved that the dynamical behavior of such a system is totally described by its minimal subsyste
Externí odkaz:
http://arxiv.org/abs/1010.5583
Autor:
Ai Hua Fan, Shi Lei Fan
Publikováno v:
Acta Mathematica Sinica, English Series. 36:189-195
Any bounded tile of the field ℚp of p-adic numbers is a compact open set up to a set of zero Haar measure. In this note, we present two simple and direct proofs of this fact.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbfb8990f3a425fabf3fa5f23e00eead
https://doi.org/10.1007/s10114-020-8520-4
https://doi.org/10.1007/s10114-020-8520-4
Publikováno v:
Journal of the London Mathematical Society. 98:517-535
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd6ed02a869f0ae8a85b1b0a424785de
https://doi.org/10.1112/jlms.12145
https://doi.org/10.1112/jlms.12145
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 166:381-413
We are concerned with sets of generic points for shift-invariant measures in the countable symbolic space. We measure the sizes of the sets by the Billingsley-Hausdorff dimensions defined by Gibbs measures. It is shown that the dimension of such a se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aea7ff88ed41c14a8bbad606ada0ebf3
https://doi.org/10.1017/s0305004118000038
https://doi.org/10.1017/s0305004118000038
Autor:
Jörg Schmeling, Ai-Hua Fan
Publikováno v:
Annales de l'Institut Fourier. 68:2477-2500
For a given number α ϵ (0, 1) and a 1-periodic function f, we study the convergence of the series Σ∞ n=1f(x+nα)/n, called one-sided Hilbert transform relative to the rotation x → x + α mod 1. Among others, we prove that for any non-polynomia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89de5446952f4d0598000dc7cbec5a39
https://doi.org/10.5802/aif.3214
https://doi.org/10.5802/aif.3214
Publikováno v:
Mathematische Zeitschrift. 290:63-81
In this paper, we study the multiple ergodic averages of a locally constant real-valued function in linear Cookie-Cutter dynamical systems. The multifractal spectrum of these multiple ergodic averages is completely determined.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3476ada8abff3d22556b3bbfc98e27ff
https://doi.org/10.1007/s00209-017-2008-7
https://doi.org/10.1007/s00209-017-2008-7
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 37:3161-3182
A rational map with good reduction in the field \begin{document} $\mathbb{Q}_p$ \end{document} of \begin{document} $p$ \end{document} -adic numbers defines a \begin{document} $1$ \end{document} -Lipschitz dynamical system on the projective line \begi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::978420897cc6a91d7c44a2324822a4bb
https://doi.org/10.3934/dcds.2017135
https://doi.org/10.3934/dcds.2017135