Matches in SemOpenAlex for { <https://semopenalex.org/work/W2964291700> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2964291700 endingPage "452" @default.
- W2964291700 startingPage "411" @default.
- W2964291700 abstract "Let (X,T) and (Y,S) be two topological dynamical systems, and π:X→Y a factor map. Let a=(a1,a2)∈R2 with a1>0 and a2≥0, and f∈C(X). We define the a-weighted topological pressure of f, denoted by Pa(X,f), as an extension of the classical topological pressure. In this approach, we use the a-weighted Bowen balls to substitute the Bowen balls in the classical definition. We prove the following variational principle:Pa(X,f)=sup{a1hμ(T)+a2hμ∘π−1(S)+∫fdμ}, where the supremum is taken over the T-invariant measures on X. It not only generalizes the variational principle of classical topological pressure, but also provides a topological extension of dimension theory of invariant sets and measures on the torus T2 under affine diagonal endomorphisms. A higher dimensional version of the result is also established. Soient (X,T), (Y,S) deux systèmes dynamiques topologiques, et π:X→Y une application surjective continue telle que π∘T=S∘π. Soient a=(a1,a2)∈R2 avec a1>0 et a2≥0, et f∈C(X). On définit la pression topologique a-pondérée de f, notée Pa(X,f), comme extension de la pression topologique classique. Dans cette approche, on substitue des boules de Bowen a-pondérées aux boules de Bowen de la définition classique. On établit le principe variationnel suivant :Pa(X,f)=sup{a1hμ(T)+a2hμ∘π−1(S)+∫fdμ}, où le suprémum porte sur l'ensemble des mesures T-invariantes sur X. Non seulement ce résultat généralise le principe variationnel associé à la pression topologique classique, mais il fournit aussi une extention topologique de la théorie de la dimension des ensembles et des mesures invariantes sur le tore T2 sous l'action des endomorphismes diagonaux affines. Le résultat s'étend en dimension supérieure." @default.
- W2964291700 created "2019-07-30" @default.
- W2964291700 creator A5031455285 @default.
- W2964291700 creator A5058002676 @default.
- W2964291700 date "2016-09-01" @default.
- W2964291700 modified "2023-10-17" @default.
- W2964291700 title "Variational principle for weighted topological pressure" @default.
- W2964291700 cites W1522305672 @default.
- W2964291700 cites W1964947492 @default.
- W2964291700 cites W1968041289 @default.
- W2964291700 cites W1971100022 @default.
- W2964291700 cites W1971178571 @default.
- W2964291700 cites W1976332414 @default.
- W2964291700 cites W1984976263 @default.
- W2964291700 cites W1998685909 @default.
- W2964291700 cites W1999578955 @default.
- W2964291700 cites W2022779339 @default.
- W2964291700 cites W2028103534 @default.
- W2964291700 cites W2032956341 @default.
- W2964291700 cites W2033672007 @default.
- W2964291700 cites W2037909264 @default.
- W2964291700 cites W2044813613 @default.
- W2964291700 cites W2061539524 @default.
- W2964291700 cites W2062525083 @default.
- W2964291700 cites W2081277635 @default.
- W2964291700 cites W2090541396 @default.
- W2964291700 cites W2099572565 @default.
- W2964291700 cites W2100145758 @default.
- W2964291700 cites W2152337671 @default.
- W2964291700 cites W2159767801 @default.
- W2964291700 cites W2962746801 @default.
- W2964291700 cites W3104283816 @default.
- W2964291700 cites W3146029931 @default.
- W2964291700 cites W4244297378 @default.
- W2964291700 doi "https://doi.org/10.1016/j.matpur.2016.02.016" @default.
- W2964291700 hasPublicationYear "2016" @default.
- W2964291700 type Work @default.
- W2964291700 sameAs 2964291700 @default.
- W2964291700 citedByCount "29" @default.
- W2964291700 countsByYear W29642917002017 @default.
- W2964291700 countsByYear W29642917002018 @default.
- W2964291700 countsByYear W29642917002019 @default.
- W2964291700 countsByYear W29642917002020 @default.
- W2964291700 countsByYear W29642917002021 @default.
- W2964291700 countsByYear W29642917002022 @default.
- W2964291700 countsByYear W29642917002023 @default.
- W2964291700 crossrefType "journal-article" @default.
- W2964291700 hasAuthorship W2964291700A5031455285 @default.
- W2964291700 hasAuthorship W2964291700A5058002676 @default.
- W2964291700 hasBestOaLocation W29642917001 @default.
- W2964291700 hasConcept C114614502 @default.
- W2964291700 hasConcept C116858840 @default.
- W2964291700 hasConcept C119238805 @default.
- W2964291700 hasConcept C134306372 @default.
- W2964291700 hasConcept C184720557 @default.
- W2964291700 hasConcept C190470478 @default.
- W2964291700 hasConcept C2524010 @default.
- W2964291700 hasConcept C33923547 @default.
- W2964291700 hasConcept C37914503 @default.
- W2964291700 hasConcept C9259290 @default.
- W2964291700 hasConceptScore W2964291700C114614502 @default.
- W2964291700 hasConceptScore W2964291700C116858840 @default.
- W2964291700 hasConceptScore W2964291700C119238805 @default.
- W2964291700 hasConceptScore W2964291700C134306372 @default.
- W2964291700 hasConceptScore W2964291700C184720557 @default.
- W2964291700 hasConceptScore W2964291700C190470478 @default.
- W2964291700 hasConceptScore W2964291700C2524010 @default.
- W2964291700 hasConceptScore W2964291700C33923547 @default.
- W2964291700 hasConceptScore W2964291700C37914503 @default.
- W2964291700 hasConceptScore W2964291700C9259290 @default.
- W2964291700 hasFunder F4320321001 @default.
- W2964291700 hasIssue "3" @default.
- W2964291700 hasLocation W29642917001 @default.
- W2964291700 hasLocation W29642917002 @default.
- W2964291700 hasLocation W29642917003 @default.
- W2964291700 hasOpenAccess W2964291700 @default.
- W2964291700 hasPrimaryLocation W29642917001 @default.
- W2964291700 hasRelatedWork W2068037503 @default.
- W2964291700 hasRelatedWork W2119552535 @default.
- W2964291700 hasRelatedWork W2162397735 @default.
- W2964291700 hasRelatedWork W2232278409 @default.
- W2964291700 hasRelatedWork W2244821968 @default.
- W2964291700 hasRelatedWork W2921417187 @default.
- W2964291700 hasRelatedWork W2964357213 @default.
- W2964291700 hasRelatedWork W4293565900 @default.
- W2964291700 hasRelatedWork W4376309379 @default.
- W2964291700 hasRelatedWork W4377832852 @default.
- W2964291700 hasVolume "106" @default.
- W2964291700 isParatext "false" @default.
- W2964291700 isRetracted "false" @default.
- W2964291700 magId "2964291700" @default.
- W2964291700 workType "article" @default.