FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2313879944> ?p ?o ?g. }

• W2313879944 endingPage "274" @default.
• W2313879944 startingPage "261" @default.
• W2313879944 abstract "The winding number problem (Lévy (1940)) concerns the net angle through which the route of a random walk winds about the origin. We consider the problem of finding the winding number for a walk with finite step sizes; the eigenfunction method (Roberts and Ursell (1960)) is shown to be inapplicable because the probability distribution for a sequence of steps of different length depends on the order in which those steps are taken. In the diffusion limit, however, commutivity is restored. We derive the winding number distribution for a diffusion process, starting from a point displaced from the origin, and consider its asymptotic form. An important difference between the finite step and diffusion distributions is that the former possesses finite moments while the latter does not. We compute numerically the finite step distributions for 20000 particles undergoing N = 100000 steps, and compare the results with the diffusion distribution. Even for small winding numbers, perceptible differences between the two distributions appear even for N as large as 100000." @default.
• W2313879944 created "2016-06-24" @default.
• W2313879944 creator A5002795089 @default.
• W2313879944 creator A5043799307 @default.
• W2313879944 date "1988-06-01" @default.
• W2313879944 modified "2023-09-26" @default.
• W2313879944 title "On the winding number problem with finite steps" @default.
• W2313879944 cites W1977431865 @default.
• W2313879944 cites W1999999343 @default.
• W2313879944 cites W2005765534 @default.
• W2313879944 cites W2012926283 @default.
• W2313879944 cites W2031867616 @default.
• W2313879944 cites W2071966678 @default.
• W2313879944 cites W2090288646 @default.
• W2313879944 cites W2162488624 @default.
• W2313879944 cites W2294333130 @default.
• W2313879944 cites W2326878890 @default.
• W2313879944 cites W2328643411 @default.
• W2313879944 cites W4210963615 @default.
• W2313879944 cites W4249723702 @default.
• W2313879944 cites W4255676891 @default.
• W2313879944 doi "https://doi.org/10.2307/1427389" @default.
• W2313879944 hasPublicationYear "1988" @default.
• W2313879944 type Work @default.
• W2313879944 sameAs 2313879944 @default.
• W2313879944 citedByCount "9" @default.
• W2313879944 countsByYear W23138799442015 @default.
• W2313879944 countsByYear W23138799442019 @default.
• W2313879944 countsByYear W23138799442022 @default.
• W2313879944 crossrefType "journal-article" @default.
• W2313879944 hasAuthorship W2313879944A5002795089 @default.
• W2313879944 hasAuthorship W2313879944A5043799307 @default.
• W2313879944 hasConcept C105795698 @default.
• W2313879944 hasConcept C110121322 @default.
• W2313879944 hasConcept C121194460 @default.
• W2313879944 hasConcept C121332964 @default.
• W2313879944 hasConcept C121864883 @default.
• W2313879944 hasConcept C128803854 @default.
• W2313879944 hasConcept C134306372 @default.
• W2313879944 hasConcept C135628077 @default.
• W2313879944 hasConcept C137618395 @default.
• W2313879944 hasConcept C151201525 @default.
• W2313879944 hasConcept C158693339 @default.
• W2313879944 hasConcept C162392398 @default.
• W2313879944 hasConcept C2524010 @default.
• W2313879944 hasConcept C2778112365 @default.
• W2313879944 hasConcept C28719098 @default.
• W2313879944 hasConcept C3017618536 @default.
• W2313879944 hasConcept C33923547 @default.
• W2313879944 hasConcept C41008148 @default.
• W2313879944 hasConcept C54355233 @default.
• W2313879944 hasConcept C56739046 @default.
• W2313879944 hasConcept C62520636 @default.
• W2313879944 hasConcept C68710425 @default.
• W2313879944 hasConcept C69357855 @default.
• W2313879944 hasConcept C86803240 @default.
• W2313879944 hasConcept C97355855 @default.
• W2313879944 hasConceptScore W2313879944C105795698 @default.
• W2313879944 hasConceptScore W2313879944C110121322 @default.
• W2313879944 hasConceptScore W2313879944C121194460 @default.
• W2313879944 hasConceptScore W2313879944C121332964 @default.
• W2313879944 hasConceptScore W2313879944C121864883 @default.
• W2313879944 hasConceptScore W2313879944C128803854 @default.
• W2313879944 hasConceptScore W2313879944C134306372 @default.
• W2313879944 hasConceptScore W2313879944C135628077 @default.
• W2313879944 hasConceptScore W2313879944C137618395 @default.
• W2313879944 hasConceptScore W2313879944C151201525 @default.
• W2313879944 hasConceptScore W2313879944C158693339 @default.
• W2313879944 hasConceptScore W2313879944C162392398 @default.
• W2313879944 hasConceptScore W2313879944C2524010 @default.
• W2313879944 hasConceptScore W2313879944C2778112365 @default.
• W2313879944 hasConceptScore W2313879944C28719098 @default.
• W2313879944 hasConceptScore W2313879944C3017618536 @default.
• W2313879944 hasConceptScore W2313879944C33923547 @default.
• W2313879944 hasConceptScore W2313879944C41008148 @default.
• W2313879944 hasConceptScore W2313879944C54355233 @default.
• W2313879944 hasConceptScore W2313879944C56739046 @default.
• W2313879944 hasConceptScore W2313879944C62520636 @default.
• W2313879944 hasConceptScore W2313879944C68710425 @default.
• W2313879944 hasConceptScore W2313879944C69357855 @default.
• W2313879944 hasConceptScore W2313879944C86803240 @default.
• W2313879944 hasConceptScore W2313879944C97355855 @default.
• W2313879944 hasIssue "2" @default.
• W2313879944 hasLocation W23138799441 @default.
• W2313879944 hasOpenAccess W2313879944 @default.
• W2313879944 hasPrimaryLocation W23138799441 @default.
• W2313879944 hasRelatedWork W1965554924 @default.
• W2313879944 hasRelatedWork W2012512629 @default.
• W2313879944 hasRelatedWork W2015166125 @default.
• W2313879944 hasRelatedWork W2052060317 @default.
• W2313879944 hasRelatedWork W2061627189 @default.
• W2313879944 hasRelatedWork W2069498296 @default.
• W2313879944 hasRelatedWork W2083552404 @default.
• W2313879944 hasRelatedWork W24512146 @default.
• W2313879944 hasRelatedWork W2951238529 @default.
• W2313879944 hasRelatedWork W4200488814 @default.
• W2313879944 hasVolume "20" @default.
• W2313879944 isParatext "false" @default.

• next