Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Alexander Gorodnik"'
Written by leading experts, this book explores several directions of current research at the interface between dynamics and analytic number theory. Topics include Diophantine approximation, exponential sums, Ramsey theory, ergodic theory and homogene
Autor:
Alexander Gorodnik, Amos Nevo
The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence i
Publikováno v:
Mathematische Annalen. 386:987-1016
In this paper we prove that the space of homogeneous probability measures on the maximal Satake compactification of an arithmetic locally symmetric space is compact. As an application, we explain some consequences for the distribution of weakly speci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c4fcffe4058b821c79cbe8b2a6c15a8
https://doi.org/10.1007/s00208-022-02412-w
https://doi.org/10.1007/s00208-022-02412-w
Autor:
Michael Björklund, Alexander Gorodnik
Publikováno v:
Journal d'Analyse Mathématique. 141:457-482
In this paper we establish a general dynamical Central Limit Theorem (CLT) for group actions which are exponentially mixing of all orders. In particular, the main result applies to Cartan flows on finite-volume quotients of simple Lie groups. Our pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f35bf461f3f7e02db94ba171193598d2
https://doi.org/10.1007/s11854-020-0106-7
https://doi.org/10.1007/s11854-020-0106-7
Autor:
Cristina K. Dominicini, Alexander Gorodnik, Moises V. Ribeiro, Magnos Martinello, Rodolfo da Silva Villaça, Ana C. Locateli, Diego Rossi Mafioletti
Publikováno v:
NetSoft
Source routing (SR) is a prominent alternative to table-based routing for reducing the number of network states. However, traditional SR approaches, based on Port Switching, still maintain a state in the packet by using a header rewrite operation. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f208a462d0388d049d09bc754a9546b
https://doi.org/10.1109/netsoft48620.2020.9165501
https://doi.org/10.1109/netsoft48620.2020.9165501
Autor:
Alexander Gorodnik, Tim D Browning
Publikováno v:
Proceedings of the London Mathematical Society. 114:1044-1080
Given a symmetric variety Y defined over Q and a non-zero polynomial with integer coefficients, we use techniques from homogeneous dynamics to establish conditions under which the polynomial can be made r-free for a Zariski dense set of integral poin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::498e617d06b5d3453890f7a87a9bf1bc
https://doi.org/10.1112/plms.12030
https://doi.org/10.1112/plms.12030
Autor:
Shirali Kadyrov, Alexander Gorodnik
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 29:1-28
We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numerators and denominators and establish a quantitative approximation result for all real points in the group by rational points w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::523d2fa79a217c42cde1ea5919c84062
https://doi.org/10.5802/jtnb.967
https://doi.org/10.5802/jtnb.967
Autor:
Alexander Gorodnik
Publikováno v:
Infosys Science Foundation Series ISBN: 9789811506826
This survey paper discusses behaviour of higher order correlations for one-parameter dynamical systems and more generally for dynamical systems arising from group actions. In particular, we present a self-contained proof of quantitative bounds for hi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8121b10a3f7983e4108c5f7cba19a519
https://doi.org/10.1007/978-981-15-0683-3_3
https://doi.org/10.1007/978-981-15-0683-3_3
Autor:
Pankaj Vishe, Alexander Gorodnik
Publikováno v:
Gorodnik, A & Vishe, P 2018, ' Diophantine approximation for products of linear maps--logarithmic improvements ', Transactions of the American Mathematical Society, vol. 370, no. 1, pp. 487-507 . https://doi.org/10.1090/tran/6953
Transactions of the American Mathematical Society, 2016, Vol.370(1), pp.487-507 [Peer Reviewed Journal]
Transactions of the American Mathematical Society, 2016, Vol.370(1), pp.487-507 [Peer Reviewed Journal]
This paper is devoted to the study of a problem of Cassels in multiplicative Diophantine approximation which involves minimising values of a product of affine linear forms computed at integral points. It was previously known that values of this produ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f64f62781502242583cceeda67a35dd9
http://www.scopus.com/inward/record.url?scp=85032896770&partnerID=8YFLogxK
http://www.scopus.com/inward/record.url?scp=85032896770&partnerID=8YFLogxK
We conjecture that the set of homogeneous probability measures on the maximal Satake compactification of an arithmetic locally symmetric space $S=\Gamma\backslash G/K$ is compact. More precisely, given a sequence of homogeneous probability measures o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9e01b970624641a1d91d41fb81a5546