Matches in SemOpenAlex for { <https://semopenalex.org/work/W2078618339> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2078618339 endingPage "1" @default.
- W2078618339 startingPage "1" @default.
- W2078618339 abstract "We prove a substantial part of a conjecture of Kontsevich and Zorich on the Lyapunov exponents of the Teichmuller geodesic flow on the deviation of ergodic averages for generic conservative flows on higher genus surfaces. The result on the Teichmuller flow is formulated in terms of a (symplectic) cocycle on the real cohomology bundle over the moduli space of holomorphic differentials introduced by Kontsevich and Zorich. We prove that such a cocycle is non-uniformly hyperbolic, that is, all of its Lyapunov exponents are different from zero. In particular, the number of strictly positive exponents is equal to the genus of the surface. From this theorem we derive that ergodic integrals of smooth functions for generic area-preserving flows on higher genus surfaces grow with time according to a power-law asymptotics with a number of terms equal to the genus of the surface and stricltly positive exponents equal to the non-negative Lyapunov exponents of the Kontsevich-Zorich cocycle. In particular, for conservative flows on surfaces of higher genus, the deviation of ergodic averages for a generic smooth function obeys a power law with a strictly positive exponent and, consequently, the Denjoy-Koksma inequality does not hold. The derivation of the deviation theorem relies in a fundamental way on the notion of invariant distribution for flows on surfaces and the related notion of basic current for the orbit foliation." @default.
- W2078618339 created "2016-06-24" @default.
- W2078618339 creator A5071115614 @default.
- W2078618339 date "2002-01-01" @default.
- W2078618339 modified "2023-09-25" @default.
- W2078618339 title "Deviation of Ergodic Averages for Area-Preserving Flows on Surfaces of Higher Genus" @default.
- W2078618339 cites W100944330 @default.
- W2078618339 cites W115139095 @default.
- W2078618339 cites W140597968 @default.
- W2078618339 cites W1495330969 @default.
- W2078618339 cites W1527329021 @default.
- W2078618339 cites W1589522393 @default.
- W2078618339 cites W1863054479 @default.
- W2078618339 cites W1935274629 @default.
- W2078618339 cites W1965565198 @default.
- W2078618339 cites W1969743386 @default.
- W2078618339 cites W1972790392 @default.
- W2078618339 cites W1981185893 @default.
- W2078618339 cites W1997620342 @default.
- W2078618339 cites W2001409525 @default.
- W2078618339 cites W2013741628 @default.
- W2078618339 cites W2021469018 @default.
- W2078618339 cites W2021821678 @default.
- W2078618339 cites W2047437527 @default.
- W2078618339 cites W2063561921 @default.
- W2078618339 cites W2070417100 @default.
- W2078618339 cites W2079974926 @default.
- W2078618339 cites W2081817659 @default.
- W2078618339 cites W2082744026 @default.
- W2078618339 cites W2132875437 @default.
- W2078618339 cites W2313083616 @default.
- W2078618339 cites W2322864499 @default.
- W2078618339 cites W3038928148 @default.
- W2078618339 cites W7399659 @default.
- W2078618339 doi "https://doi.org/10.2307/3062150" @default.
- W2078618339 hasPublicationYear "2002" @default.
- W2078618339 type Work @default.
- W2078618339 sameAs 2078618339 @default.
- W2078618339 citedByCount "196" @default.
- W2078618339 countsByYear W20786183392012 @default.
- W2078618339 countsByYear W20786183392013 @default.
- W2078618339 countsByYear W20786183392014 @default.
- W2078618339 countsByYear W20786183392015 @default.
- W2078618339 countsByYear W20786183392016 @default.
- W2078618339 countsByYear W20786183392017 @default.
- W2078618339 countsByYear W20786183392018 @default.
- W2078618339 countsByYear W20786183392019 @default.
- W2078618339 countsByYear W20786183392020 @default.
- W2078618339 countsByYear W20786183392021 @default.
- W2078618339 countsByYear W20786183392022 @default.
- W2078618339 countsByYear W20786183392023 @default.
- W2078618339 crossrefType "journal-article" @default.
- W2078618339 hasAuthorship W2078618339A5071115614 @default.
- W2078618339 hasBestOaLocation W20786183392 @default.
- W2078618339 hasConcept C114614502 @default.
- W2078618339 hasConcept C122044880 @default.
- W2078618339 hasConcept C157369684 @default.
- W2078618339 hasConcept C202444582 @default.
- W2078618339 hasConcept C33923547 @default.
- W2078618339 hasConcept C86803240 @default.
- W2078618339 hasConcept C90856448 @default.
- W2078618339 hasConceptScore W2078618339C114614502 @default.
- W2078618339 hasConceptScore W2078618339C122044880 @default.
- W2078618339 hasConceptScore W2078618339C157369684 @default.
- W2078618339 hasConceptScore W2078618339C202444582 @default.
- W2078618339 hasConceptScore W2078618339C33923547 @default.
- W2078618339 hasConceptScore W2078618339C86803240 @default.
- W2078618339 hasConceptScore W2078618339C90856448 @default.
- W2078618339 hasIssue "1" @default.
- W2078618339 hasLocation W20786183391 @default.
- W2078618339 hasLocation W20786183392 @default.
- W2078618339 hasOpenAccess W2078618339 @default.
- W2078618339 hasPrimaryLocation W20786183391 @default.
- W2078618339 hasRelatedWork W1978042415 @default.
- W2078618339 hasRelatedWork W1980573007 @default.
- W2078618339 hasRelatedWork W2000983461 @default.
- W2078618339 hasRelatedWork W2045042134 @default.
- W2078618339 hasRelatedWork W2046446505 @default.
- W2078618339 hasRelatedWork W2070532359 @default.
- W2078618339 hasRelatedWork W2073401393 @default.
- W2078618339 hasRelatedWork W2170042920 @default.
- W2078618339 hasRelatedWork W2332136239 @default.
- W2078618339 hasRelatedWork W902770993 @default.
- W2078618339 hasVolume "155" @default.
- W2078618339 isParatext "false" @default.
- W2078618339 isRetracted "false" @default.
- W2078618339 magId "2078618339" @default.
- W2078618339 workType "article" @default.