Shimon Brooks

most citedLogarithmic-scale Quasimodes that do not Equidistribute

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

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…

math.SP2013★ 3 cited

Logarithmic-scale Quasimodes that do not Equidistribute

Shimon Brooks

Given any compact hyperbolic surface $M$ , and a closed geodesic on $M$ , we construct of a sequence of quasimodes on $M$ whose microlocal lifts concentrate positive mass on the geod…

Eisenstein Series and Breakdown of Semiclassical Correspondence

Lp Norms of Eigenfunctions on Regular Graphs and on the Sphere

Logarithmic-scale Quasimodes that do not Equidistribute

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