Matches in SemOpenAlex for { <https://semopenalex.org/work/W2896795575> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2896795575 abstract "A classic result due to Furstenberg is the strict ergodicity of the horocycle flow for a compact hyperbolic surface. Strict ergodicity is unique ergodicity with respect to a measure of full support, and therefore implies minimality. The horocycle flow has been previously studied on minimal foliations by hyperbolic surfaces on closed manifolds, where it is known not to be minimal in general. In this paper, we prove that for the special case of Riemannian foliations, strict ergodicity of the horocycle flow still holds. This in particular proves that this flow is minimal, which establishes a conjecture proposed by Matsumoto. The main tool is a theorem due to Coudene, which he presented as an alternative proof for the surface case. It applies to two continuous flows defining a measure-preserving action of the affine group of the line on a compact metric space, precisely matching the foliated setting. In addition, we briefly discuss the application of Coudene's theorem to other kinds of foliations." @default.
- W2896795575 created "2018-10-26" @default.
- W2896795575 creator A5008758842 @default.
- W2896795575 creator A5015643783 @default.
- W2896795575 creator A5017322490 @default.
- W2896795575 creator A5027167402 @default.
- W2896795575 date "2018-10-10" @default.
- W2896795575 modified "2023-09-27" @default.
- W2896795575 title "Unique ergodicity of the horocycle flow on Riemannnian foliations" @default.
- W2896795575 hasPublicationYear "2018" @default.
- W2896795575 type Work @default.
- W2896795575 sameAs 2896795575 @default.
- W2896795575 citedByCount "0" @default.
- W2896795575 crossrefType "posted-content" @default.
- W2896795575 hasAuthorship W2896795575A5008758842 @default.
- W2896795575 hasAuthorship W2896795575A5015643783 @default.
- W2896795575 hasAuthorship W2896795575A5017322490 @default.
- W2896795575 hasAuthorship W2896795575A5027167402 @default.
- W2896795575 hasConcept C105795698 @default.
- W2896795575 hasConcept C111919701 @default.
- W2896795575 hasConcept C134306372 @default.
- W2896795575 hasConcept C162324750 @default.
- W2896795575 hasConcept C176217482 @default.
- W2896795575 hasConcept C201779956 @default.
- W2896795575 hasConcept C202444582 @default.
- W2896795575 hasConcept C21547014 @default.
- W2896795575 hasConcept C2524010 @default.
- W2896795575 hasConcept C2776799497 @default.
- W2896795575 hasConcept C2778572836 @default.
- W2896795575 hasConcept C2780009758 @default.
- W2896795575 hasConcept C33923547 @default.
- W2896795575 hasConcept C38349280 @default.
- W2896795575 hasConcept C41008148 @default.
- W2896795575 hasConcept C77088390 @default.
- W2896795575 hasConcept C92757383 @default.
- W2896795575 hasConceptScore W2896795575C105795698 @default.
- W2896795575 hasConceptScore W2896795575C111919701 @default.
- W2896795575 hasConceptScore W2896795575C134306372 @default.
- W2896795575 hasConceptScore W2896795575C162324750 @default.
- W2896795575 hasConceptScore W2896795575C176217482 @default.
- W2896795575 hasConceptScore W2896795575C201779956 @default.
- W2896795575 hasConceptScore W2896795575C202444582 @default.
- W2896795575 hasConceptScore W2896795575C21547014 @default.
- W2896795575 hasConceptScore W2896795575C2524010 @default.
- W2896795575 hasConceptScore W2896795575C2776799497 @default.
- W2896795575 hasConceptScore W2896795575C2778572836 @default.
- W2896795575 hasConceptScore W2896795575C2780009758 @default.
- W2896795575 hasConceptScore W2896795575C33923547 @default.
- W2896795575 hasConceptScore W2896795575C38349280 @default.
- W2896795575 hasConceptScore W2896795575C41008148 @default.
- W2896795575 hasConceptScore W2896795575C77088390 @default.
- W2896795575 hasConceptScore W2896795575C92757383 @default.
- W2896795575 hasLocation W28967955751 @default.
- W2896795575 hasOpenAccess W2896795575 @default.
- W2896795575 hasPrimaryLocation W28967955751 @default.
- W2896795575 hasRelatedWork W1640723134 @default.
- W2896795575 hasRelatedWork W1969663512 @default.
- W2896795575 hasRelatedWork W1985899306 @default.
- W2896795575 hasRelatedWork W2049229557 @default.
- W2896795575 hasRelatedWork W2057637094 @default.
- W2896795575 hasRelatedWork W2068533793 @default.
- W2896795575 hasRelatedWork W2086541928 @default.
- W2896795575 hasRelatedWork W2134286767 @default.
- W2896795575 hasRelatedWork W2144232461 @default.
- W2896795575 hasRelatedWork W2188408075 @default.
- W2896795575 hasRelatedWork W2264252709 @default.
- W2896795575 hasRelatedWork W2321289921 @default.
- W2896795575 hasRelatedWork W2903951137 @default.
- W2896795575 hasRelatedWork W2950626545 @default.
- W2896795575 hasRelatedWork W2963475052 @default.
- W2896795575 hasRelatedWork W2995178623 @default.
- W2896795575 hasRelatedWork W3130531683 @default.
- W2896795575 hasRelatedWork W3136387531 @default.
- W2896795575 hasRelatedWork W3145575555 @default.
- W2896795575 hasRelatedWork W2099087005 @default.
- W2896795575 isParatext "false" @default.
- W2896795575 isRetracted "false" @default.
- W2896795575 magId "2896795575" @default.
- W2896795575 workType "article" @default.