Matches in SemOpenAlex for { <https://semopenalex.org/work/W3099125439> ?p ?o ?g. }
- W3099125439 endingPage "58" @default.
- W3099125439 startingPage "1" @default.
- W3099125439 abstract "We consider a simple model of an open partially expanding map. Its trapped set ${mathcal{K}}$ in phase space is a fractal set. We first show that there is a well-defined discrete spectrum of Ruelle resonances which describes the asymptotic of correlation functions for large time and which is parametrized by the Fourier component $unicode[STIX]{x1D708}$ in the neutral direction of the dynamics. We introduce a specific hypothesis on the dynamics that we call ‘minimal captivity’. This hypothesis is stable under perturbations and means that the dynamics is univalued in a neighborhood of ${mathcal{K}}$ . Under this hypothesis we show the existence of an asymptotic spectral gap and a fractal Weyl law for the upper bound of density of Ruelle resonances in the semiclassical limit $unicode[STIX]{x1D708}rightarrow infty$ . Some numerical computations with the truncated Gauss map and Bowen–Series maps illustrate these results." @default.
- W3099125439 created "2020-11-23" @default.
- W3099125439 creator A5001544578 @default.
- W3099125439 creator A5049383958 @default.
- W3099125439 creator A5079061018 @default.
- W3099125439 date "2015-10-07" @default.
- W3099125439 modified "2023-09-27" @default.
- W3099125439 title "Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps" @default.
- W3099125439 cites W1498458032 @default.
- W3099125439 cites W1550247484 @default.
- W3099125439 cites W1630543237 @default.
- W3099125439 cites W1767588846 @default.
- W3099125439 cites W1843185825 @default.
- W3099125439 cites W1906752274 @default.
- W3099125439 cites W1967756571 @default.
- W3099125439 cites W1968912041 @default.
- W3099125439 cites W1978690922 @default.
- W3099125439 cites W2002365373 @default.
- W3099125439 cites W2004650312 @default.
- W3099125439 cites W2013499332 @default.
- W3099125439 cites W2013872780 @default.
- W3099125439 cites W2017009010 @default.
- W3099125439 cites W2020281569 @default.
- W3099125439 cites W2029191352 @default.
- W3099125439 cites W2032249561 @default.
- W3099125439 cites W2042968368 @default.
- W3099125439 cites W2045785859 @default.
- W3099125439 cites W2051199769 @default.
- W3099125439 cites W2054576771 @default.
- W3099125439 cites W2070151264 @default.
- W3099125439 cites W2077608758 @default.
- W3099125439 cites W2079303608 @default.
- W3099125439 cites W2081508753 @default.
- W3099125439 cites W2088550763 @default.
- W3099125439 cites W2090111652 @default.
- W3099125439 cites W2090244538 @default.
- W3099125439 cites W2091015311 @default.
- W3099125439 cites W2112064229 @default.
- W3099125439 cites W2114599246 @default.
- W3099125439 cites W2131856549 @default.
- W3099125439 cites W2141326211 @default.
- W3099125439 cites W2153862666 @default.
- W3099125439 cites W2318007796 @default.
- W3099125439 cites W2332692632 @default.
- W3099125439 cites W2963327681 @default.
- W3099125439 cites W2964111509 @default.
- W3099125439 cites W3046206984 @default.
- W3099125439 cites W3103966093 @default.
- W3099125439 cites W3106241966 @default.
- W3099125439 cites W4205658096 @default.
- W3099125439 cites W4231706539 @default.
- W3099125439 cites W4232035096 @default.
- W3099125439 cites W4238652859 @default.
- W3099125439 cites W4242473853 @default.
- W3099125439 cites W4245183679 @default.
- W3099125439 cites W4379503616 @default.
- W3099125439 doi "https://doi.org/10.1017/etds.2015.34" @default.
- W3099125439 hasPublicationYear "2015" @default.
- W3099125439 type Work @default.
- W3099125439 sameAs 3099125439 @default.
- W3099125439 citedByCount "4" @default.
- W3099125439 countsByYear W30991254392015 @default.
- W3099125439 countsByYear W30991254392016 @default.
- W3099125439 countsByYear W30991254392018 @default.
- W3099125439 countsByYear W30991254392020 @default.
- W3099125439 crossrefType "journal-article" @default.
- W3099125439 hasAuthorship W3099125439A5001544578 @default.
- W3099125439 hasAuthorship W3099125439A5049383958 @default.
- W3099125439 hasAuthorship W3099125439A5079061018 @default.
- W3099125439 hasBestOaLocation W30991254392 @default.
- W3099125439 hasConcept C121332964 @default.
- W3099125439 hasConcept C134306372 @default.
- W3099125439 hasConcept C151342819 @default.
- W3099125439 hasConcept C154945302 @default.
- W3099125439 hasConcept C187619975 @default.
- W3099125439 hasConcept C202444582 @default.
- W3099125439 hasConcept C2777052490 @default.
- W3099125439 hasConcept C2778114796 @default.
- W3099125439 hasConcept C33923547 @default.
- W3099125439 hasConcept C40636538 @default.
- W3099125439 hasConcept C41008148 @default.
- W3099125439 hasConcept C535169671 @default.
- W3099125439 hasConcept C62520636 @default.
- W3099125439 hasConcept C82229145 @default.
- W3099125439 hasConcept C84114770 @default.
- W3099125439 hasConceptScore W3099125439C121332964 @default.
- W3099125439 hasConceptScore W3099125439C134306372 @default.
- W3099125439 hasConceptScore W3099125439C151342819 @default.
- W3099125439 hasConceptScore W3099125439C154945302 @default.
- W3099125439 hasConceptScore W3099125439C187619975 @default.
- W3099125439 hasConceptScore W3099125439C202444582 @default.
- W3099125439 hasConceptScore W3099125439C2777052490 @default.
- W3099125439 hasConceptScore W3099125439C2778114796 @default.
- W3099125439 hasConceptScore W3099125439C33923547 @default.
- W3099125439 hasConceptScore W3099125439C40636538 @default.
- W3099125439 hasConceptScore W3099125439C41008148 @default.
- W3099125439 hasConceptScore W3099125439C535169671 @default.
- W3099125439 hasConceptScore W3099125439C62520636 @default.