FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3153833358> ?p ?o ?g. }

• W3153833358 abstract "We study self-similar measures in $mathbb{R}$ satisfying the weak separation condition along with weak technical assumptions which are satisfied in all known examples. For such a measure $mu$, we show that there is a finite set of concave functions ${tau_1,ldots,tau_m}$ such that the $L^q$-spectrum of $mu$ is given by $min{tau_1,ldots,tau_m}$ and the multifractal spectrum of $mu$ is given by $max{tau_1^*,ldots,tau_m^*}$, where $tau_i^*$ denotes the concave conjugate of $tau_i$. In particular, the measure $mu$ satisfies the multifractal formalism if and only if its multifractal spectrum is a concave function. This implies that $mu$ satisfies the multifractal formalism at values corresponding to points of differentiability of the $L^q$-spectrum. We also verify existence of the limit for the $L^q$-spectra of such measures for every $qinmathbb{R}$. As a direct application, we obtain many new results and simple proofs of well-known results in the multifractal analysis of self-similar measures satisfying the weak separation condition." @default.
• W3153833358 created "2021-04-26" @default.
• W3153833358 creator A5091416466 @default.
• W3153833358 date "2021-04-14" @default.
• W3153833358 modified "2023-09-27" @default.
• W3153833358 title "A Multifractal Decomposition for Self-similar Measures with Exact Overlaps" @default.
• W3153833358 cites W1504907986 @default.
• W3153833358 cites W1603226434 @default.
• W3153833358 cites W1973055473 @default.
• W3153833358 cites W1983885134 @default.
• W3153833358 cites W1987395549 @default.
• W3153833358 cites W1994589293 @default.
• W3153833358 cites W2010280288 @default.
• W3153833358 cites W2041024520 @default.
• W3153833358 cites W2050414795 @default.
• W3153833358 cites W2052988480 @default.
• W3153833358 cites W2054460150 @default.
• W3153833358 cites W2056526449 @default.
• W3153833358 cites W2057921487 @default.
• W3153833358 cites W2083625677 @default.
• W3153833358 cites W2117396082 @default.
• W3153833358 cites W2120496796 @default.
• W3153833358 cites W2121750941 @default.
• W3153833358 cites W2129003903 @default.
• W3153833358 cites W2165469059 @default.
• W3153833358 cites W2169469642 @default.
• W3153833358 cites W2593545567 @default.
• W3153833358 cites W2962852664 @default.
• W3153833358 cites W2963153085 @default.
• W3153833358 cites W2963444879 @default.
• W3153833358 cites W2963724067 @default.
• W3153833358 cites W2964094627 @default.
• W3153833358 cites W2970618185 @default.
• W3153833358 cites W3008212050 @default.
• W3153833358 cites W3046545894 @default.
• W3153833358 cites W3086866321 @default.
• W3153833358 cites W3125526688 @default.
• W3153833358 hasPublicationYear "2021" @default.
• W3153833358 type Work @default.
• W3153833358 sameAs 3153833358 @default.
• W3153833358 citedByCount "0" @default.
• W3153833358 crossrefType "posted-content" @default.
• W3153833358 hasAuthorship W3153833358A5091416466 @default.
• W3153833358 hasConcept C114614502 @default.
• W3153833358 hasConcept C121332964 @default.
• W3153833358 hasConcept C133905733 @default.
• W3153833358 hasConcept C134306372 @default.
• W3153833358 hasConcept C142362112 @default.
• W3153833358 hasConcept C153349607 @default.
• W3153833358 hasConcept C156778621 @default.
• W3153833358 hasConcept C202615002 @default.
• W3153833358 hasConcept C2780009758 @default.
• W3153833358 hasConcept C33923547 @default.
• W3153833358 hasConcept C40636538 @default.
• W3153833358 hasConcept C41008148 @default.
• W3153833358 hasConcept C558565934 @default.
• W3153833358 hasConcept C62520636 @default.
• W3153833358 hasConcept C73301696 @default.
• W3153833358 hasConcept C77088390 @default.
• W3153833358 hasConceptScore W3153833358C114614502 @default.
• W3153833358 hasConceptScore W3153833358C121332964 @default.
• W3153833358 hasConceptScore W3153833358C133905733 @default.
• W3153833358 hasConceptScore W3153833358C134306372 @default.
• W3153833358 hasConceptScore W3153833358C142362112 @default.
• W3153833358 hasConceptScore W3153833358C153349607 @default.
• W3153833358 hasConceptScore W3153833358C156778621 @default.
• W3153833358 hasConceptScore W3153833358C202615002 @default.
• W3153833358 hasConceptScore W3153833358C2780009758 @default.
• W3153833358 hasConceptScore W3153833358C33923547 @default.
• W3153833358 hasConceptScore W3153833358C40636538 @default.
• W3153833358 hasConceptScore W3153833358C41008148 @default.
• W3153833358 hasConceptScore W3153833358C558565934 @default.
• W3153833358 hasConceptScore W3153833358C62520636 @default.
• W3153833358 hasConceptScore W3153833358C73301696 @default.
• W3153833358 hasConceptScore W3153833358C77088390 @default.
• W3153833358 hasLocation W31538333581 @default.
• W3153833358 hasOpenAccess W3153833358 @default.
• W3153833358 hasPrimaryLocation W31538333581 @default.
• W3153833358 hasRelatedWork W1540116477 @default.
• W3153833358 hasRelatedWork W1997603459 @default.
• W3153833358 hasRelatedWork W2039148753 @default.
• W3153833358 hasRelatedWork W2084759885 @default.
• W3153833358 hasRelatedWork W2127031650 @default.
• W3153833358 hasRelatedWork W2286305484 @default.
• W3153833358 hasRelatedWork W2517000172 @default.
• W3153833358 hasRelatedWork W2771557696 @default.
• W3153833358 hasRelatedWork W2897154110 @default.
• W3153833358 hasRelatedWork W2951913034 @default.
• W3153833358 hasRelatedWork W2962723210 @default.
• W3153833358 hasRelatedWork W2964255909 @default.
• W3153833358 hasRelatedWork W3034648722 @default.
• W3153833358 hasRelatedWork W3042635964 @default.
• W3153833358 hasRelatedWork W3085048139 @default.
• W3153833358 hasRelatedWork W3099557219 @default.
• W3153833358 hasRelatedWork W3102833641 @default.
• W3153833358 hasRelatedWork W3104807056 @default.
• W3153833358 hasRelatedWork W3168007053 @default.
• W3153833358 hasRelatedWork W3182728551 @default.
• W3153833358 isParatext "false" @default.
• W3153833358 isRetracted "false" @default.

• next