Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Le, Anh N"'
Autor:
Glasscock, Daniel, Le, Anh N.
A subset of the positive integers is \emph{dynamically central syndetic} if it contains the set of times that a point returns to a neighborhood of itself under a minimal transformation of a compact metric space. These sets are part of the highly-infl
Externí odkaz:
http://arxiv.org/abs/2408.12785
Originating in harmonic analysis, interpolation sets were first studied in dynamics by Glasner and Weiss in the 1980s. A set $S \subset \mathbb{N}$ is an interpolation set for a class of topological dynamical systems $\mathcal{C}$ if any bounded sequ
Externí odkaz:
http://arxiv.org/abs/2401.15339
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 prove three results concerning the existence of Bohr sets in threefold sumsets. More precisely, letting $G$ be a countable discrete abelian group and $\phi_1, \phi_2, \phi_3: G \to G$ be commuting endomorphisms whose images have finite indices, we
Externí odkaz:
http://arxiv.org/abs/2207.04150
Autor:
Le, Anh N., Lê, Thái Hoàng
Let $G$ be a compact abelian group and $\phi_1, \phi_2, \phi_3$ be continuous endomorphisms on $G$. Under certain natural assumptions on the $\phi_i$'s, we prove the existence of Bohr sets in the sumset $\phi_1(A) + \phi_2(A) + \phi_3(A)$, where $A$
Externí odkaz:
http://arxiv.org/abs/2112.11997
Autor:
Le, Anh N.
A set $E \subset \mathbb{N}$ is an interpolation set for nilsequences if every bounded function on $E$ can be extended to a nilsequence on $\mathbb{N}$. Following a theorem of Strzelecki, every lacunary set is an interpolation set for nilsequences. W
Externí odkaz:
http://arxiv.org/abs/2103.13551
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
Publikováno v:
Proceedings of the AMS, Volume 149, (2021), Number 1, pp. 209-216
Let $T$ be a measure preserving $\mathbb{Z}^\ell$-action on the probability space $(X,{\mathcal B},\mu),$ $q_1,\dots,q_m:{\mathbb R}\to{\mathbb R}^\ell$ vector polynomials, and $f_0,\dots,f_m\in L^\infty(X)$. For any $\epsilon > 0$ and multicorrelati
Externí odkaz:
http://arxiv.org/abs/2004.11835
Publikováno v:
Discrete Analysis, 2021:4
We study multicorrelation sequences arising from systems with commuting transformations. Our main result is a refinement of a decomposition result of Frantzikinakis and it states that any multicorrelation sequences for commuting transformations can b
Externí odkaz:
http://arxiv.org/abs/2001.11523
Autor:
Le, Anh N.
To give positive answer to a question of Frantzikinakis, we study a class of subsets of $\mathbb{N}$, called interpolation sets, on which every bounded sequence can be extended to an almost periodic sequence on $\mathbb{N}$. Strzelecki has proved tha
Externí odkaz:
http://arxiv.org/abs/1905.00527