Matches in SemOpenAlex for { <https://semopenalex.org/work/W4322759839> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4322759839 abstract "In this paper we study the (nonlocal) torsional rigidity in the ambient space of random walk spaces. We get the relation of the (nonlocal) torsional rigidity of a set $Omega$ with the spectral $m$-heat content of $Omega$, what gives rise to a complete description of the nonlocal torsional rigidity of $Omega$ by using uniquely probability terms involving the set $Omega$; and recover the first eigenvalue of the nonlocal Laplacian with homogeneous Dirichlet boundary conditions by a limit formula using these probability term. For the random walk in $R^N$ associated with a non singular kernel, we get a nonlocal version of the Saint-Venant inequality, and, under rescaling we recover the classical Saint-Venant inequality. We study the nonlocal $p$-torsional rigidity and its relation with the nonlocal Cheeger constants. We also get a nonlocal version of the P'{o}lya-Makai-type inequalities. We relate the torsional rigidity given here for weighted graphs with the torsional rigidity on metric graphs." @default.
- W4322759839 created "2023-03-03" @default.
- W4322759839 creator A5016524396 @default.
- W4322759839 creator A5021635562 @default.
- W4322759839 date "2023-02-28" @default.
- W4322759839 modified "2023-09-26" @default.
- W4322759839 title "Torsional rigidity in random walk spaces" @default.
- W4322759839 doi "https://doi.org/10.48550/arxiv.2302.14351" @default.
- W4322759839 hasPublicationYear "2023" @default.
- W4322759839 type Work @default.
- W4322759839 citedByCount "0" @default.
- W4322759839 crossrefType "posted-content" @default.
- W4322759839 hasAuthorship W4322759839A5016524396 @default.
- W4322759839 hasAuthorship W4322759839A5021635562 @default.
- W4322759839 hasBestOaLocation W43227598391 @default.
- W4322759839 hasConcept C105795698 @default.
- W4322759839 hasConcept C110167270 @default.
- W4322759839 hasConcept C121194460 @default.
- W4322759839 hasConcept C121332964 @default.
- W4322759839 hasConcept C121864883 @default.
- W4322759839 hasConcept C134306372 @default.
- W4322759839 hasConcept C140142295 @default.
- W4322759839 hasConcept C158693339 @default.
- W4322759839 hasConcept C160343418 @default.
- W4322759839 hasConcept C165700671 @default.
- W4322759839 hasConcept C169214877 @default.
- W4322759839 hasConcept C182310444 @default.
- W4322759839 hasConcept C183212220 @default.
- W4322759839 hasConcept C202444582 @default.
- W4322759839 hasConcept C2779557605 @default.
- W4322759839 hasConcept C33923547 @default.
- W4322759839 hasConcept C62520636 @default.
- W4322759839 hasConceptScore W4322759839C105795698 @default.
- W4322759839 hasConceptScore W4322759839C110167270 @default.
- W4322759839 hasConceptScore W4322759839C121194460 @default.
- W4322759839 hasConceptScore W4322759839C121332964 @default.
- W4322759839 hasConceptScore W4322759839C121864883 @default.
- W4322759839 hasConceptScore W4322759839C134306372 @default.
- W4322759839 hasConceptScore W4322759839C140142295 @default.
- W4322759839 hasConceptScore W4322759839C158693339 @default.
- W4322759839 hasConceptScore W4322759839C160343418 @default.
- W4322759839 hasConceptScore W4322759839C165700671 @default.
- W4322759839 hasConceptScore W4322759839C169214877 @default.
- W4322759839 hasConceptScore W4322759839C182310444 @default.
- W4322759839 hasConceptScore W4322759839C183212220 @default.
- W4322759839 hasConceptScore W4322759839C202444582 @default.
- W4322759839 hasConceptScore W4322759839C2779557605 @default.
- W4322759839 hasConceptScore W4322759839C33923547 @default.
- W4322759839 hasConceptScore W4322759839C62520636 @default.
- W4322759839 hasLocation W43227598391 @default.
- W4322759839 hasOpenAccess W4322759839 @default.
- W4322759839 hasPrimaryLocation W43227598391 @default.
- W4322759839 hasRelatedWork W1501244378 @default.
- W4322759839 hasRelatedWork W1567771969 @default.
- W4322759839 hasRelatedWork W2026134004 @default.
- W4322759839 hasRelatedWork W2044106429 @default.
- W4322759839 hasRelatedWork W2277583493 @default.
- W4322759839 hasRelatedWork W2780837763 @default.
- W4322759839 hasRelatedWork W2951845796 @default.
- W4322759839 hasRelatedWork W3177535655 @default.
- W4322759839 hasRelatedWork W4291567134 @default.
- W4322759839 hasRelatedWork W4300920988 @default.
- W4322759839 isParatext "false" @default.
- W4322759839 isRetracted "false" @default.
- W4322759839 workType "article" @default.