Small scale quantum ergodicity in cat maps. II. Quasimodes that are not equidistributed at the logarithmical scales

Xiaolong Han

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arXiv · 2005.00648

Small scale quantum ergodicity in cat maps. II. Quasimodes that are not equidistributed at the logarithmical scales

Xiaolong Han

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Abstract

In this series, we investigate quantum ergodicity at small scales for linear hyperbolic maps of the torus ("cat maps'"). In Part II of the series, we construct quasimodes that are quantum ergodic but are not equidistributed at the logarithmical scales.

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Xiaolong Han. 2020-05-01. Small scale quantum ergodicity in cat maps. II. Quasimodes that are not equidistributed at the logarithmical scales. https://arxiv.org/abs/2005.00648

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