Matches in SemOpenAlex for { <https://semopenalex.org/work/W2564484887> ?p ?o ?g. }
- W2564484887 abstract "For all convex co-compact hyperbolic surfaces, we prove the existence of an essential spectral gap, that is a strip beyond the unitarity axis in which the Selberg zeta function has only finitely many zeroes. We make no assumption on the dimension $delta$ of the limit set, in particular we do not require the pressure condition $deltaleq {1over 2}$. This is the first result of this kind for quantum Hamiltonians. Our proof follows the strategy developed by Dyatlov-Zahl [arXiv:1504.06589]. The main new ingredient is the fractal uncertainty principle for $delta$-regular sets with $delta<1$, which may be of independent interest." @default.
- W2564484887 created "2017-01-06" @default.
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- W2564484887 date "2018-05-01" @default.
- W2564484887 modified "2023-10-18" @default.
- W2564484887 title "Spectral gaps without the pressure condition" @default.
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- W2564484887 doi "https://doi.org/10.4007/annals.2018.187.3.5" @default.
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