Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Michael Boshernitzan"'
Publikováno v:
Discrete Analysis (2017)
From a packing problem to quantitative recurrence in [0,1] and the Lagrange spectrum of interval exchanges, Discrete Analysis 2017:10, 25 pp. A basic fact in the theory of Diophantine approximation is Dirichlet's theorem that for every real number
Externí odkaz:
https://doaj.org/article/908c7cc7c2934209ba180c8e50006948
Publikováno v:
Journal of Spectral Theory. 11:873-902
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8c21cc2b73954ad33d4b38fa1a0dcd9
https://doi.org/10.4171/jst/360
https://doi.org/10.4171/jst/360
Publikováno v:
Israel Journal of Mathematics. 222:815-840
The Khintchine recurrence theorem asserts that on a measure preserving system, for every set $A$ and $\varepsilon>0$, we have $��(A\cap T^{-n}A)\geq ��(A)^2-\varepsilon$ for infinitely many $n\in \mathbb{N}$. We show that there are systems ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f59ace6a4999f3d1570a7020248171e
https://doi.org/10.1007/s11856-017-1606-8
https://doi.org/10.1007/s11856-017-1606-8
Autor:
Michael Boshernitzan, Jon Chaika
Publikováno v:
Proceedings of the American Mathematical Society. 144:5029-5034
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::701ae23eba0230b30a95bcd665280774
https://doi.org/10.1090/proc/13273
https://doi.org/10.1090/proc/13273
Autor:
Yaar Solomon, Michael Boshernitzan
This paper deals with visibility problems in Euclidean spaces where the set of obstacles Y is an infinite discrete point set. We prove five independent results. Consider the following problem. Given $$\varepsilon >0$$ , imagine a forest whose trees h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9a249407749e251181e4d49e614cddb
http://arxiv.org/abs/1805.11679
http://arxiv.org/abs/1805.11679
Publikováno v:
Journal of Number Theory. 156:38-51
We introduce a notion of uniform density. This notion is an analogue of uniform distribution modulo 1, but is of interest mostly for non-compact spaces. Our main results show that various specific (families of) sequences or real numbers, defined by m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e90581ea0113ce661582d78df64f6617
https://doi.org/10.1016/j.jnt.2015.03.004
https://doi.org/10.1016/j.jnt.2015.03.004
Publikováno v:
Nonlinearity. 26:417-423
We study the ergodic properties of compositions of interval exchange transformations and rotations. We show that for any interval exchange transformation T, there is a full measure set of \alpha in [0, 1) so that T composed with R_{\alpha} is uniquel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b462ac8208a189ab621712b970cc55a
https://doi.org/10.1088/0951-7715/26/2/417
https://doi.org/10.1088/0951-7715/26/2/417
Publikováno v:
Discrete & Computational Geometry. 49:335-347
We consider Delone sets with finite local complexity. We characterize the validity of a subadditive ergodic theorem by uniform positivity of certain weights. The latter can be considered to be an averaged version of linear repetitivity. In this conte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df2b6c0f9d456843f57b4dfc63588ca5
https://doi.org/10.1007/s00454-012-9455-z
https://doi.org/10.1007/s00454-012-9455-z
Autor:
Michael Boshernitzan
Publikováno v:
Dynamical Systems and Group Actions. :53-65
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::83aa1d35d41e1761776c16abf301655d
https://doi.org/10.1090/conm/567/11251
https://doi.org/10.1090/conm/567/11251
Autor:
Michael Boshernitzan, Daniel Berend
Publikováno v:
Israel Journal of Mathematics. 167:49-61
We define a notion of roundness for finite groups. Roughly speaking, a group is round if one can order its elements in a cycle in such a way that some natural summation operators map this cycle into new cycles containing all the elements of the group
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bdea47ce5103a8b810f810f42e5654f7
https://doi.org/10.1007/s11856-008-1040-z
https://doi.org/10.1007/s11856-008-1040-z