Shimon Brooks

activity

20092017

most citedLogarithmic-scale Quasimodes that do not Equidistribute

3 citations · 9 across the 6 of their papers we have counts for

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math.DS2017

Eisenstein Series and Breakdown of Semiclassical Correspondence

Shimon Brooks

We consider certain Lagrangian states associated to unstable horocycles on the modular surface $P S L (2, Z) \ H$ , and show that for sufficiently large logarit…

math.SP2017

$L^{p}$ Norms of Eigenfunctions on Regular Graphs and on the Sphere

Shimon Brooks, Etienne Le Masson

We prove upper bounds on the $L^{p}$ norms of eigenfunctions of the discrete Laplacian on regular graphs. We then apply these ideas to study the $L^{p}$ norms of joint eigenfunctions o…

Eisenstein Series and Breakdown of Semiclassical Correspondence

Lp Norms of Eigenfunctions on Regular Graphs and on the Sphere

$L^{p}$ Norms of Eigenfunctions on Regular Graphs and on the Sphere