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math-ph2018
Small scale quantum ergodicity in cat maps. I
Xiaolong Han
In this series, we investigate quantum ergodicity at small scales for linear hyperbolic maps of the torus ("cat maps"). In Part I of the series, we prove quantum ergodicity at vari…
math.CA2018
Tomas-Stein restriction estimates on convex cocompact hyperbolic manifolds. I
Xiaolong Han
In this paper, we investigate the Tomas-Stein restriction estimates on convex cocompact hyperbolic manifolds . Via the spectral measure of the Laplacia…