Matches in SemOpenAlex for { <https://semopenalex.org/work/W2000056086> ?p ?o ?g. }
- W2000056086 endingPage "127" @default.
- W2000056086 startingPage "99" @default.
- W2000056086 abstract "Consider a rational map f of degree at least 2 acting on its Julia set J(f), a Hölder continuous potential φ: J(f) → ℝ and the pressure P(f,φ). In the case where $$mathop {sup }limits_{J(f)} phi < P(f,phi ),$$ the uniqueness and stochastic properties of the corresponding equilibrium states have been extensively studied. In this paper we characterize those potentials φ for which this property is satisfied for some iterate of f, in terms of the expanding properties of the corresponding equilibrium states. A direct consequence of this result is that for a non-uniformly hyperbolic rational map every Hölder continuous potential has a unique equilibrium state and that this measure is exponentially mixing." @default.
- W2000056086 created "2016-06-24" @default.
- W2000056086 creator A5018639870 @default.
- W2000056086 creator A5084620352 @default.
- W2000056086 date "2012-03-01" @default.
- W2000056086 modified "2023-09-24" @default.
- W2000056086 title "A characterization of hyperbolic potentials of rational maps" @default.
- W2000056086 cites W1498335665 @default.
- W2000056086 cites W1965819635 @default.
- W2000056086 cites W1970876612 @default.
- W2000056086 cites W1978575652 @default.
- W2000056086 cites W1989171951 @default.
- W2000056086 cites W1990440748 @default.
- W2000056086 cites W2011692762 @default.
- W2000056086 cites W2025543701 @default.
- W2000056086 cites W2032348285 @default.
- W2000056086 cites W2072276905 @default.
- W2000056086 cites W2078658248 @default.
- W2000056086 cites W2089705565 @default.
- W2000056086 cites W2090302868 @default.
- W2000056086 cites W2099038784 @default.
- W2000056086 cites W2104948141 @default.
- W2000056086 cites W2122921131 @default.
- W2000056086 cites W2128526967 @default.
- W2000056086 cites W3101653172 @default.
- W2000056086 cites W3103465822 @default.
- W2000056086 cites W3105855688 @default.
- W2000056086 cites W3106017519 @default.
- W2000056086 cites W4229998491 @default.
- W2000056086 cites W4230374750 @default.
- W2000056086 cites W4231009334 @default.
- W2000056086 cites W4255454912 @default.
- W2000056086 doi "https://doi.org/10.1007/s00574-012-0007-1" @default.
- W2000056086 hasPublicationYear "2012" @default.
- W2000056086 type Work @default.
- W2000056086 sameAs 2000056086 @default.
- W2000056086 citedByCount "33" @default.
- W2000056086 countsByYear W20000560862012 @default.
- W2000056086 countsByYear W20000560862013 @default.
- W2000056086 countsByYear W20000560862014 @default.
- W2000056086 countsByYear W20000560862015 @default.
- W2000056086 countsByYear W20000560862016 @default.
- W2000056086 countsByYear W20000560862017 @default.
- W2000056086 countsByYear W20000560862018 @default.
- W2000056086 countsByYear W20000560862019 @default.
- W2000056086 countsByYear W20000560862020 @default.
- W2000056086 countsByYear W20000560862021 @default.
- W2000056086 countsByYear W20000560862023 @default.
- W2000056086 crossrefType "journal-article" @default.
- W2000056086 hasAuthorship W2000056086A5018639870 @default.
- W2000056086 hasAuthorship W2000056086A5084620352 @default.
- W2000056086 hasBestOaLocation W20000560862 @default.
- W2000056086 hasConcept C11413529 @default.
- W2000056086 hasConcept C114614502 @default.
- W2000056086 hasConcept C120665830 @default.
- W2000056086 hasConcept C121332964 @default.
- W2000056086 hasConcept C134306372 @default.
- W2000056086 hasConcept C138777275 @default.
- W2000056086 hasConcept C187619975 @default.
- W2000056086 hasConcept C202444582 @default.
- W2000056086 hasConcept C24890656 @default.
- W2000056086 hasConcept C2775997480 @default.
- W2000056086 hasConcept C2777021972 @default.
- W2000056086 hasConcept C2780009758 @default.
- W2000056086 hasConcept C2780841128 @default.
- W2000056086 hasConcept C33923547 @default.
- W2000056086 hasConcept C41008148 @default.
- W2000056086 hasConcept C48103436 @default.
- W2000056086 hasConcept C553313952 @default.
- W2000056086 hasConcept C62520636 @default.
- W2000056086 hasConcept C77088390 @default.
- W2000056086 hasConceptScore W2000056086C11413529 @default.
- W2000056086 hasConceptScore W2000056086C114614502 @default.
- W2000056086 hasConceptScore W2000056086C120665830 @default.
- W2000056086 hasConceptScore W2000056086C121332964 @default.
- W2000056086 hasConceptScore W2000056086C134306372 @default.
- W2000056086 hasConceptScore W2000056086C138777275 @default.
- W2000056086 hasConceptScore W2000056086C187619975 @default.
- W2000056086 hasConceptScore W2000056086C202444582 @default.
- W2000056086 hasConceptScore W2000056086C24890656 @default.
- W2000056086 hasConceptScore W2000056086C2775997480 @default.
- W2000056086 hasConceptScore W2000056086C2777021972 @default.
- W2000056086 hasConceptScore W2000056086C2780009758 @default.
- W2000056086 hasConceptScore W2000056086C2780841128 @default.
- W2000056086 hasConceptScore W2000056086C33923547 @default.
- W2000056086 hasConceptScore W2000056086C41008148 @default.
- W2000056086 hasConceptScore W2000056086C48103436 @default.
- W2000056086 hasConceptScore W2000056086C553313952 @default.
- W2000056086 hasConceptScore W2000056086C62520636 @default.
- W2000056086 hasConceptScore W2000056086C77088390 @default.
- W2000056086 hasIssue "1" @default.
- W2000056086 hasLocation W20000560861 @default.
- W2000056086 hasLocation W20000560862 @default.
- W2000056086 hasLocation W20000560863 @default.
- W2000056086 hasOpenAccess W2000056086 @default.
- W2000056086 hasPrimaryLocation W20000560861 @default.
- W2000056086 hasRelatedWork W1971636208 @default.
- W2000056086 hasRelatedWork W1976056548 @default.