Resonances for Open Quantum Maps and a Fractal Uncertainty Principle
© 2017, Springer-Verlag Berlin Heidelberg. We study eigenvalues of quantum open baker’s maps with trapped sets given by linear arithmetic Cantor sets of dimensions δ∈ (0 , 1). We show that the size of the spectral gap is strictly greater than the standard bound max(0,12-δ) for all values of δ, which...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Nature
2021
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| Online Access: | https://hdl.handle.net/1721.1/133911 |