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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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Showing 2011Show all

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math.DS2011★ 2 cited

Joint Quasimodes, Positive Entropy, and Quantum Unique Ergodicity

Shimon Brooks, Elon Lindenstrauss

We study joint quasimodes of the Laplacian and one Hecke operator on compact congruence surfaces, and give conditions on the orders of the quasimodes that guarantee positive entrop…

math.SP2011★ 1 cited

Partially Localized Quasimodes in Large Subspaces

Shimon Brooks

We consider spaces of high-energy quasimodes for the Laplacian on a compact hyperbolic surface, and show that when the spaces are large enough, one can find quasimodes that exhibit…