Matches in SemOpenAlex for { <https://semopenalex.org/work/W1497980034> ?p ?o ?g. }
- W1497980034 abstract "In the uniformly hyperbolic setting it is well known that the set of all measures supported on periodic orbits is dense in the convex space of all invariant measures. In this paper we consider the converse question, in the non-uniformly hyperbolic setting: assuming that some ergodic measure converges to a convex combination of hyperbolic ergodic measures, what can we deduce about the initial measures? To every hyperbolic measure $mu$ whose stable/unstable Oseledets splitting is dominated we associate canonically a unique class $H(mu)$ of periodic orbits for the homoclinic relation, called its emph{intersection class}. In a dominated setting, we prove that a measure for which almost every measure in its ergodic decomposition is hyperbolic with the same index such as the dominated splitting is accumulated by ergodic measures if, and only if, almost all such ergodic measures have a common intersection class. We provide examples which indicate the importance of the domination assumption." @default.
- W1497980034 created "2016-06-24" @default.
- W1497980034 creator A5003500652 @default.
- W1497980034 creator A5042174333 @default.
- W1497980034 creator A5057945434 @default.
- W1497980034 date "2015-03-19" @default.
- W1497980034 modified "2023-09-27" @default.
- W1497980034 title "Dominated Pesin theory: convex sum of hyperbolic measures" @default.
- W1497980034 cites W1512099607 @default.
- W1497980034 cites W2005567124 @default.
- W1497980034 cites W2205816517 @default.
- W1497980034 cites W3162514650 @default.
- W1497980034 hasPublicationYear "2015" @default.
- W1497980034 type Work @default.
- W1497980034 sameAs 1497980034 @default.
- W1497980034 citedByCount "6" @default.
- W1497980034 countsByYear W14979800342015 @default.
- W1497980034 countsByYear W14979800342016 @default.
- W1497980034 countsByYear W14979800342018 @default.
- W1497980034 countsByYear W14979800342019 @default.
- W1497980034 crossrefType "posted-content" @default.
- W1497980034 hasAuthorship W1497980034A5003500652 @default.
- W1497980034 hasAuthorship W1497980034A5042174333 @default.
- W1497980034 hasAuthorship W1497980034A5057945434 @default.
- W1497980034 hasConcept C112680207 @default.
- W1497980034 hasConcept C115667082 @default.
- W1497980034 hasConcept C121332964 @default.
- W1497980034 hasConcept C122044880 @default.
- W1497980034 hasConcept C127413603 @default.
- W1497980034 hasConcept C134306372 @default.
- W1497980034 hasConcept C146978453 @default.
- W1497980034 hasConcept C157972887 @default.
- W1497980034 hasConcept C158622935 @default.
- W1497980034 hasConcept C190470478 @default.
- W1497980034 hasConcept C200581526 @default.
- W1497980034 hasConcept C202444582 @default.
- W1497980034 hasConcept C2524010 @default.
- W1497980034 hasConcept C2776809875 @default.
- W1497980034 hasConcept C2780009758 @default.
- W1497980034 hasConcept C2781349735 @default.
- W1497980034 hasConcept C33923547 @default.
- W1497980034 hasConcept C37914503 @default.
- W1497980034 hasConcept C40020168 @default.
- W1497980034 hasConcept C41008148 @default.
- W1497980034 hasConcept C49870271 @default.
- W1497980034 hasConcept C62520636 @default.
- W1497980034 hasConcept C64543145 @default.
- W1497980034 hasConcept C70984080 @default.
- W1497980034 hasConcept C77088390 @default.
- W1497980034 hasConcept C83677898 @default.
- W1497980034 hasConcept C92047909 @default.
- W1497980034 hasConceptScore W1497980034C112680207 @default.
- W1497980034 hasConceptScore W1497980034C115667082 @default.
- W1497980034 hasConceptScore W1497980034C121332964 @default.
- W1497980034 hasConceptScore W1497980034C122044880 @default.
- W1497980034 hasConceptScore W1497980034C127413603 @default.
- W1497980034 hasConceptScore W1497980034C134306372 @default.
- W1497980034 hasConceptScore W1497980034C146978453 @default.
- W1497980034 hasConceptScore W1497980034C157972887 @default.
- W1497980034 hasConceptScore W1497980034C158622935 @default.
- W1497980034 hasConceptScore W1497980034C190470478 @default.
- W1497980034 hasConceptScore W1497980034C200581526 @default.
- W1497980034 hasConceptScore W1497980034C202444582 @default.
- W1497980034 hasConceptScore W1497980034C2524010 @default.
- W1497980034 hasConceptScore W1497980034C2776809875 @default.
- W1497980034 hasConceptScore W1497980034C2780009758 @default.
- W1497980034 hasConceptScore W1497980034C2781349735 @default.
- W1497980034 hasConceptScore W1497980034C33923547 @default.
- W1497980034 hasConceptScore W1497980034C37914503 @default.
- W1497980034 hasConceptScore W1497980034C40020168 @default.
- W1497980034 hasConceptScore W1497980034C41008148 @default.
- W1497980034 hasConceptScore W1497980034C49870271 @default.
- W1497980034 hasConceptScore W1497980034C62520636 @default.
- W1497980034 hasConceptScore W1497980034C64543145 @default.
- W1497980034 hasConceptScore W1497980034C70984080 @default.
- W1497980034 hasConceptScore W1497980034C77088390 @default.
- W1497980034 hasConceptScore W1497980034C83677898 @default.
- W1497980034 hasConceptScore W1497980034C92047909 @default.
- W1497980034 hasLocation W14979800341 @default.
- W1497980034 hasOpenAccess W1497980034 @default.
- W1497980034 hasPrimaryLocation W14979800341 @default.
- W1497980034 hasRelatedWork W1485727224 @default.
- W1497980034 hasRelatedWork W1990337452 @default.
- W1497980034 hasRelatedWork W2009198866 @default.
- W1497980034 hasRelatedWork W2047318483 @default.
- W1497980034 hasRelatedWork W2052264750 @default.
- W1497980034 hasRelatedWork W2066525785 @default.
- W1497980034 hasRelatedWork W2085250112 @default.
- W1497980034 hasRelatedWork W2116950472 @default.
- W1497980034 hasRelatedWork W2199317706 @default.
- W1497980034 hasRelatedWork W2290261266 @default.
- W1497980034 hasRelatedWork W2468183778 @default.
- W1497980034 hasRelatedWork W2523896170 @default.
- W1497980034 hasRelatedWork W2949820397 @default.
- W1497980034 hasRelatedWork W2951135397 @default.
- W1497980034 hasRelatedWork W2952620742 @default.
- W1497980034 hasRelatedWork W3121228685 @default.
- W1497980034 hasRelatedWork W3173087807 @default.
- W1497980034 hasRelatedWork W3214698766 @default.
- W1497980034 hasRelatedWork W2185875795 @default.