6 citations · 32 across the 10 of their papers we have counts for
11 papers
Causal Responder Detection
Tzviel Frostig, Oshri Machluf, Amitay Kamber +2
We introduce the causal responders detection (CARD), a novel method for responder analysis that identifies treated subjects who significantly respond to a treatment. Leveraging rec…
Lifting all elements in
Amitay Kamber, Péter P. Varjú
We show that every element of can be lifted to an element of of norm at most , while there exist…
Optimal Diophantine Exponents for
Subhajit Jana, Amitay Kamber
The \emph{Diophantine exponent} of an action of a group on a homogeneous space, as defined by Ghosh, Gorodnik, and Nevo, quantifies the complexity of approximating the points of th…
On the local -Bound of the Eisenstein Series
Subhajit Jana, Amitay Kamber
We study the growth of the local -norms of the unitary Eisenstein series for reductive groups over number fields, in terms of their parameters. We derive a \emph{poly-logarith…
Combinatorics via Closed Orbits: Number Theoretic Ramanujan Graphs are not Unique Neighbor Expanders
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 t…
On Sarnak's Density Conjecture and its Applications
Konstantin Golubev, Amitay Kamber
Sarnak's Density Conjecture is an explicit bound on the multiplicities of non-tempered representations in a sequence of cocompact congruence arithmetic lattices in a semisimple Lie…
Optimal Lifting for the Projective Action of
Amitay Kamber, Hagai Lavner
Let and let be a prime going to infinity. We prove that with high probability given in the projective plane over the finite field there exists in $SL_3(Z)…
Cutoff on Graphs and the Sarnak-Xue Density of Eigenvalues
Konstantin Golubev, Amitay Kamber
It was recently shown by Lubetzky and Peres (2016) and by Sardari (2018) that Ramanujan graphs, i.e., graphs with the optimal spectrum, exhibit cutoff of the simple random walk in…
Cutoff on Hyperbolic Surfaces
Konstantin Golubev, Amitay Kamber
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 se…
Lp expander Complexes
Amitay Kamber
We discuss two combinatorical ways of generalizing the definition of expander graphs and Ramanujan graphs, to quotients of buildings of higher dimension. The two possible definitio…
Expander Graphs
Amitay Kamber
We discuss how graph expansion is related to the behavior of -functions on the covering tree. We show that the non-trivial eigenvalues of the adjacency operator on aa $(q+1)…