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pro vyhledávání: '"Amitay Kamber"'
Autor:
Subhajit Jana, Amitay Kamber
Publikováno v:
Forum of Mathematics, Sigma, Vol 12 (2024)
We study the growth of the local $L^2$ -norms of the unitary Eisenstein series for reductive groups over number fields, in terms of their parameters. We derive a poly-logarithmic bound on an average, for a large class of reductive groups. The metho
Externí odkaz:
https://doaj.org/article/b50edbc53f3640829bcc95b9f1cd6f50
Autor:
Konstantin Golubev, Amitay Kamber
Publikováno v:
Forum of Mathematics, Sigma, Vol 11 (2023)
Sarnak’s density conjecture is an explicit bound on the multiplicities of nontempered representations in a sequence of cocompact congruence arithmetic lattices in a semisimple Lie group, which is motivated by the work of Sarnak and Xue ([58]). The
Externí odkaz:
https://doaj.org/article/2a5d73d1379d45ddabff9c026f44e5df
Autor:
Amitay Kamber, Konstantin Golubev
Publikováno v:
Geometriae Dedicata, 203 (1)
In this paper, we study the common distance between points and the behavior of a constant length step discrete random walk on finite area hyperbolic surfaces. We show that if the second smallest eigenvalue of the Laplacian is at least $$\nicefrac {1}
Combinatorics via Closed Orbits: Number Theoretic Ramanujan Graphs are not Unique Neighbor Expanders
Autor:
Amitay Kamber, Tali Kaufman
The question of finding expander graphs with strong vertex expansion properties such as unique neighbor expansion and lossless expansion is central to computer science. A barrier to constructing these is that strong notions of expansion could not be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2672fc9a6e9d1a63ccc9f6c5b7fea24
Autor:
Steiner, Raphael S.
Publikováno v:
Ramanujan Journal; Dec2023, Vol. 62 Issue 4, p953-966, 14p
Publikováno v:
Geometric & Functional Analysis; Jun2022, Vol. 32 Issue 3, p595-661, 67p
Autor:
Golubev, Konstantin, Kamber, Amitay
Publikováno v:
Geometriae Dedicata; Dec2019, Vol. 203 Issue 1, p225-255, 31p
Autor:
Kamber, Amitay
Publikováno v:
Israel Journal of Mathematics; Oct2019, Vol. 234 Issue 2, p863-905, 43p
The interplay of geometry, spectral theory and stochastics has a long and fruitful history, and is the driving force behind many developments in modern mathematics. Bringing together contributions from a 2017 conference at the University of Potsdam,
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and