Matches in SemOpenAlex for { <https://semopenalex.org/work/W2059671293> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2059671293 endingPage "315" @default.
- W2059671293 startingPage "289" @default.
- W2059671293 abstract "Motivated by the work of D. Y. Kleinbock, E. Lindenstrauss, G. A. Margulis, and B. Weiss [8, 9], we explore the Diophantine properties of probability measures invariant under the Gauss map. Specifically, we prove that every such measure which has finite Lyapunov exponent is extremal, i.e., gives zero measure to the set of very well approximable numbers. We show, on the other hand, that there exist examples where the Lyapunov exponent is infinite and the invariant measure is not extremal. Finally, we construct a family of Ahlfors regular measures and prove a Khinchine-type theorem for these measures. The series whose convergence or divergence is used to determine whether or not µ-almost every point is ψ-approximable is different from the series used for Lebesgue measure, so this theorem answers in the negative a question posed by Kleinbock, Lindenstrauss, and Weiss [8]." @default.
- W2059671293 created "2016-06-24" @default.
- W2059671293 creator A5024503738 @default.
- W2059671293 creator A5048462829 @default.
- W2059671293 creator A5090428395 @default.
- W2059671293 date "2014-03-30" @default.
- W2059671293 modified "2023-10-16" @default.
- W2059671293 title "Diophantine properties of measures invariant with respect to the Gauss map" @default.
- W2059671293 cites W1852646618 @default.
- W2059671293 cites W1971154492 @default.
- W2059671293 cites W1974527208 @default.
- W2059671293 cites W2043037910 @default.
- W2059671293 cites W2063309911 @default.
- W2059671293 cites W2138094777 @default.
- W2059671293 cites W4214494983 @default.
- W2059671293 cites W4246396013 @default.
- W2059671293 cites W4247369162 @default.
- W2059671293 cites W4300020039 @default.
- W2059671293 doi "https://doi.org/10.1007/s11854-014-0009-8" @default.
- W2059671293 hasPublicationYear "2014" @default.
- W2059671293 type Work @default.
- W2059671293 sameAs 2059671293 @default.
- W2059671293 citedByCount "6" @default.
- W2059671293 countsByYear W20596712932015 @default.
- W2059671293 countsByYear W20596712932017 @default.
- W2059671293 countsByYear W20596712932018 @default.
- W2059671293 countsByYear W20596712932020 @default.
- W2059671293 countsByYear W20596712932023 @default.
- W2059671293 crossrefType "journal-article" @default.
- W2059671293 hasAuthorship W2059671293A5024503738 @default.
- W2059671293 hasAuthorship W2059671293A5048462829 @default.
- W2059671293 hasAuthorship W2059671293A5090428395 @default.
- W2059671293 hasBestOaLocation W20596712932 @default.
- W2059671293 hasConcept C102966492 @default.
- W2059671293 hasConcept C115667082 @default.
- W2059671293 hasConcept C118615104 @default.
- W2059671293 hasConcept C121332964 @default.
- W2059671293 hasConcept C122044880 @default.
- W2059671293 hasConcept C14158598 @default.
- W2059671293 hasConcept C158622935 @default.
- W2059671293 hasConcept C161794534 @default.
- W2059671293 hasConcept C190470478 @default.
- W2059671293 hasConcept C191544260 @default.
- W2059671293 hasConcept C202444582 @default.
- W2059671293 hasConcept C206530611 @default.
- W2059671293 hasConcept C21031990 @default.
- W2059671293 hasConcept C2777105136 @default.
- W2059671293 hasConcept C2780009758 @default.
- W2059671293 hasConcept C33923547 @default.
- W2059671293 hasConcept C37914503 @default.
- W2059671293 hasConcept C41008148 @default.
- W2059671293 hasConcept C62520636 @default.
- W2059671293 hasConcept C77088390 @default.
- W2059671293 hasConceptScore W2059671293C102966492 @default.
- W2059671293 hasConceptScore W2059671293C115667082 @default.
- W2059671293 hasConceptScore W2059671293C118615104 @default.
- W2059671293 hasConceptScore W2059671293C121332964 @default.
- W2059671293 hasConceptScore W2059671293C122044880 @default.
- W2059671293 hasConceptScore W2059671293C14158598 @default.
- W2059671293 hasConceptScore W2059671293C158622935 @default.
- W2059671293 hasConceptScore W2059671293C161794534 @default.
- W2059671293 hasConceptScore W2059671293C190470478 @default.
- W2059671293 hasConceptScore W2059671293C191544260 @default.
- W2059671293 hasConceptScore W2059671293C202444582 @default.
- W2059671293 hasConceptScore W2059671293C206530611 @default.
- W2059671293 hasConceptScore W2059671293C21031990 @default.
- W2059671293 hasConceptScore W2059671293C2777105136 @default.
- W2059671293 hasConceptScore W2059671293C2780009758 @default.
- W2059671293 hasConceptScore W2059671293C33923547 @default.
- W2059671293 hasConceptScore W2059671293C37914503 @default.
- W2059671293 hasConceptScore W2059671293C41008148 @default.
- W2059671293 hasConceptScore W2059671293C62520636 @default.
- W2059671293 hasConceptScore W2059671293C77088390 @default.
- W2059671293 hasIssue "1" @default.
- W2059671293 hasLocation W20596712931 @default.
- W2059671293 hasLocation W20596712932 @default.
- W2059671293 hasLocation W20596712933 @default.
- W2059671293 hasLocation W20596712934 @default.
- W2059671293 hasOpenAccess W2059671293 @default.
- W2059671293 hasPrimaryLocation W20596712931 @default.
- W2059671293 hasRelatedWork W2003788739 @default.
- W2059671293 hasRelatedWork W2036685080 @default.
- W2059671293 hasRelatedWork W2162859292 @default.
- W2059671293 hasRelatedWork W2175706567 @default.
- W2059671293 hasRelatedWork W2591661736 @default.
- W2059671293 hasRelatedWork W2598954647 @default.
- W2059671293 hasRelatedWork W2951200137 @default.
- W2059671293 hasRelatedWork W2952842510 @default.
- W2059671293 hasRelatedWork W3194935856 @default.
- W2059671293 hasRelatedWork W4302194528 @default.
- W2059671293 hasVolume "122" @default.
- W2059671293 isParatext "false" @default.
- W2059671293 isRetracted "false" @default.
- W2059671293 magId "2059671293" @default.
- W2059671293 workType "article" @default.