Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952388826> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2952388826 abstract "We consider the case of hyperbolic basic sets $Lambda$ of saddle type for holomorphic maps $f: mathbb P^2mathbb C to mathbb P^2mathbb C$. We study equilibrium measures $mu_phi$ associated to a class of Holder potentials $phi$ on $Lambda$, and find the measures $mu_phi$ of iterates of arbitrary Bowen balls. Estimates for the pointwise dimension $delta_{mu_phi}$ of $mu_phi$ that involve Lyapunov exponents and a correction term are found, and also a formula for the Hausdorff dimension of $mu_phi$ in the case when the preimage counting function is constant on $Lambda$. For terminal/minimal saddle sets we prove that an invariant measure $nu$ obtained as a wedge product of two positive closed currents, is in fact the measure of maximal entropy for the textit{restriction} $f|_Lambda$. This allows then to obtain formulas for the measure $nu$ of arbitrary balls, and to give a formula for the pointwise dimension and the Hausdorff dimension of $nu$." @default.
- W2952388826 created "2019-06-27" @default.
- W2952388826 creator A5023998322 @default.
- W2952388826 creator A5080506571 @default.
- W2952388826 date "2012-03-14" @default.
- W2952388826 modified "2023-10-18" @default.
- W2952388826 title "Equilibrium measures on saddle sets of holomorphic maps on P^2" @default.
- W2952388826 cites W2104042569 @default.
- W2952388826 hasPublicationYear "2012" @default.
- W2952388826 type Work @default.
- W2952388826 sameAs 2952388826 @default.
- W2952388826 citedByCount "0" @default.
- W2952388826 crossrefType "posted-content" @default.
- W2952388826 hasAuthorship W2952388826A5023998322 @default.
- W2952388826 hasAuthorship W2952388826A5080506571 @default.
- W2952388826 hasConcept C114614502 @default.
- W2952388826 hasConcept C120665830 @default.
- W2952388826 hasConcept C121332964 @default.
- W2952388826 hasConcept C134306372 @default.
- W2952388826 hasConcept C140479938 @default.
- W2952388826 hasConcept C168460219 @default.
- W2952388826 hasConcept C194198291 @default.
- W2952388826 hasConcept C204575570 @default.
- W2952388826 hasConcept C2777984123 @default.
- W2952388826 hasConcept C2778113609 @default.
- W2952388826 hasConcept C2780009758 @default.
- W2952388826 hasConcept C33676613 @default.
- W2952388826 hasConcept C33923547 @default.
- W2952388826 hasConcept C40636538 @default.
- W2952388826 hasConcept C41008148 @default.
- W2952388826 hasConcept C73225184 @default.
- W2952388826 hasConcept C77088390 @default.
- W2952388826 hasConceptScore W2952388826C114614502 @default.
- W2952388826 hasConceptScore W2952388826C120665830 @default.
- W2952388826 hasConceptScore W2952388826C121332964 @default.
- W2952388826 hasConceptScore W2952388826C134306372 @default.
- W2952388826 hasConceptScore W2952388826C140479938 @default.
- W2952388826 hasConceptScore W2952388826C168460219 @default.
- W2952388826 hasConceptScore W2952388826C194198291 @default.
- W2952388826 hasConceptScore W2952388826C204575570 @default.
- W2952388826 hasConceptScore W2952388826C2777984123 @default.
- W2952388826 hasConceptScore W2952388826C2778113609 @default.
- W2952388826 hasConceptScore W2952388826C2780009758 @default.
- W2952388826 hasConceptScore W2952388826C33676613 @default.
- W2952388826 hasConceptScore W2952388826C33923547 @default.
- W2952388826 hasConceptScore W2952388826C40636538 @default.
- W2952388826 hasConceptScore W2952388826C41008148 @default.
- W2952388826 hasConceptScore W2952388826C73225184 @default.
- W2952388826 hasConceptScore W2952388826C77088390 @default.
- W2952388826 hasLocation W29523888261 @default.
- W2952388826 hasOpenAccess W2952388826 @default.
- W2952388826 hasPrimaryLocation W29523888261 @default.
- W2952388826 hasRelatedWork W1816163084 @default.
- W2952388826 hasRelatedWork W1988048407 @default.
- W2952388826 hasRelatedWork W2138065194 @default.
- W2952388826 hasRelatedWork W2181789766 @default.
- W2952388826 hasRelatedWork W2312830619 @default.
- W2952388826 hasRelatedWork W2484639302 @default.
- W2952388826 hasRelatedWork W2607731075 @default.
- W2952388826 hasRelatedWork W2798266874 @default.
- W2952388826 hasRelatedWork W2949508347 @default.
- W2952388826 hasRelatedWork W2949854326 @default.
- W2952388826 hasRelatedWork W2950280715 @default.
- W2952388826 hasRelatedWork W2950739344 @default.
- W2952388826 hasRelatedWork W2952390184 @default.
- W2952388826 hasRelatedWork W2952572272 @default.
- W2952388826 hasRelatedWork W2962703720 @default.
- W2952388826 hasRelatedWork W2963510979 @default.
- W2952388826 hasRelatedWork W2963523643 @default.
- W2952388826 hasRelatedWork W2988661155 @default.
- W2952388826 hasRelatedWork W3015511048 @default.
- W2952388826 hasRelatedWork W3092631906 @default.
- W2952388826 isParatext "false" @default.
- W2952388826 isRetracted "false" @default.
- W2952388826 magId "2952388826" @default.
- W2952388826 workType "article" @default.