Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385681036> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4385681036 abstract "It is known that maximal entropy random walks and partition functions that count long paths on graphs tend to become localized near nodes with a high degree. Here, we revisit the simplest toy model of such a localization: a regular tree of degree p with one special node (root) that has a degree different from all the others. We present an in-depth study of the path-counting problem precisely at the localization transition. We study paths that start from the root in both infinite trees and finite, locally tree-like regular random graphs (RRGs). For the infinite tree, we prove that the probability distribution function of the endpoints of the path is a step function. The position of the step moves away from the root at a constant velocity v=(p-2)/p. We find the width and asymptotic shape of the distribution in the vicinity of the shock. For a finite RRG, we show that a critical slowdown takes place, and the trajectory length needed to reach the equilibrium distribution is on the order of N instead of logp-1N away from the transition. We calculate the exact values of the equilibrium distribution and relaxation length, as well as the shapes of slowly relaxing modes." @default.
- W4385681036 created "2023-08-09" @default.
- W4385681036 creator A5030754989 @default.
- W4385681036 creator A5050530702 @default.
- W4385681036 date "2023-09-09" @default.
- W4385681036 modified "2023-10-17" @default.
- W4385681036 title "Path Counting on Tree-like Graphs with a Single Entropic Trap: Critical Behavior and Finite Size Effects." @default.
- W4385681036 cites W1971795650 @default.
- W4385681036 cites W1980871489 @default.
- W4385681036 cites W1984607606 @default.
- W4385681036 cites W2003398838 @default.
- W4385681036 cites W2005020601 @default.
- W4385681036 cites W2037212056 @default.
- W4385681036 cites W2060809008 @default.
- W4385681036 doi "https://doi.org/10.3390/e25091318" @default.
- W4385681036 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/37761617" @default.
- W4385681036 hasPublicationYear "2023" @default.
- W4385681036 type Work @default.
- W4385681036 citedByCount "0" @default.
- W4385681036 crossrefType "journal-article" @default.
- W4385681036 hasAuthorship W4385681036A5030754989 @default.
- W4385681036 hasAuthorship W4385681036A5050530702 @default.
- W4385681036 hasBestOaLocation W43856810361 @default.
- W4385681036 hasConcept C106301342 @default.
- W4385681036 hasConcept C113174947 @default.
- W4385681036 hasConcept C114614502 @default.
- W4385681036 hasConcept C11829167 @default.
- W4385681036 hasConcept C121332964 @default.
- W4385681036 hasConcept C121864883 @default.
- W4385681036 hasConcept C129045301 @default.
- W4385681036 hasConcept C197855036 @default.
- W4385681036 hasConcept C24890656 @default.
- W4385681036 hasConcept C2775997480 @default.
- W4385681036 hasConcept C33923547 @default.
- W4385681036 hasConcept C34947359 @default.
- W4385681036 hasConcept C62520636 @default.
- W4385681036 hasConcept C87414783 @default.
- W4385681036 hasConceptScore W4385681036C106301342 @default.
- W4385681036 hasConceptScore W4385681036C113174947 @default.
- W4385681036 hasConceptScore W4385681036C114614502 @default.
- W4385681036 hasConceptScore W4385681036C11829167 @default.
- W4385681036 hasConceptScore W4385681036C121332964 @default.
- W4385681036 hasConceptScore W4385681036C121864883 @default.
- W4385681036 hasConceptScore W4385681036C129045301 @default.
- W4385681036 hasConceptScore W4385681036C197855036 @default.
- W4385681036 hasConceptScore W4385681036C24890656 @default.
- W4385681036 hasConceptScore W4385681036C2775997480 @default.
- W4385681036 hasConceptScore W4385681036C33923547 @default.
- W4385681036 hasConceptScore W4385681036C34947359 @default.
- W4385681036 hasConceptScore W4385681036C62520636 @default.
- W4385681036 hasConceptScore W4385681036C87414783 @default.
- W4385681036 hasIssue "9" @default.
- W4385681036 hasLocation W43856810361 @default.
- W4385681036 hasLocation W43856810362 @default.
- W4385681036 hasLocation W43856810363 @default.
- W4385681036 hasOpenAccess W4385681036 @default.
- W4385681036 hasPrimaryLocation W43856810361 @default.
- W4385681036 hasRelatedWork W122619695 @default.
- W4385681036 hasRelatedWork W1548210529 @default.
- W4385681036 hasRelatedWork W1671609756 @default.
- W4385681036 hasRelatedWork W2009808060 @default.
- W4385681036 hasRelatedWork W2023196174 @default.
- W4385681036 hasRelatedWork W2382364329 @default.
- W4385681036 hasRelatedWork W2951678044 @default.
- W4385681036 hasRelatedWork W3088283132 @default.
- W4385681036 hasRelatedWork W4300450359 @default.
- W4385681036 hasRelatedWork W2107381954 @default.
- W4385681036 hasVolume "25" @default.
- W4385681036 isParatext "false" @default.
- W4385681036 isRetracted "false" @default.
- W4385681036 workType "article" @default.