Matches in SemOpenAlex for { <https://semopenalex.org/work/W1858277178> ?p ?o ?g. }
Showing items 1 to 54 of
54
with 100 items per page.
- W1858277178 abstract "We consider a cluster growth model on Z^d, called internal diffusion limited aggregation (internal DLA). In this model, random walks start at the origin, one at a time, and stop moving when reaching a site not occupied by previous walks. It is known that the asymptotic shape of the cluster is spherical. Also, when dimension is 2 or more, and when the cluster has volume $n^d$, it is known that fluctuations of the radius are at most of order $n^{1/3}$. We improve this estimate to $n^{1/(d+1)}$, in dimension 3 or more. In so doing, we introduce a closely related cluster growth model, that we call the flashing process, whose fluctuations are controlled easily and accurately. This process is coupled to internal DLA to yield the desired bound. Part of our proof adapts the approach of Lawler, Bramson and Griffeath, on another space scale, and uses a sharp estimate (written by Blachere in our Appendix) on the expected time spent by a random walk inside an annulus." @default.
- W1858277178 created "2016-06-24" @default.
- W1858277178 creator A5054308801 @default.
- W1858277178 creator A5057070405 @default.
- W1858277178 date "2010-05-28" @default.
- W1858277178 modified "2023-09-25" @default.
- W1858277178 title "A note on fluctuations for internal diffusion limited aggregation" @default.
- W1858277178 cites W1631946301 @default.
- W1858277178 cites W2024199353 @default.
- W1858277178 cites W2024766920 @default.
- W1858277178 cites W2059617782 @default.
- W1858277178 cites W2082727051 @default.
- W1858277178 cites W2950816065 @default.
- W1858277178 cites W3037954196 @default.
- W1858277178 hasPublicationYear "2010" @default.
- W1858277178 type Work @default.
- W1858277178 sameAs 1858277178 @default.
- W1858277178 citedByCount "3" @default.
- W1858277178 countsByYear W18582771782012 @default.
- W1858277178 countsByYear W18582771782014 @default.
- W1858277178 crossrefType "posted-content" @default.
- W1858277178 hasAuthorship W1858277178A5054308801 @default.
- W1858277178 hasAuthorship W1858277178A5057070405 @default.
- W1858277178 hasBestOaLocation W18582771782 @default.
- W1858277178 hasConcept C121332964 @default.
- W1858277178 hasConcept C121864883 @default.
- W1858277178 hasConcept C149782125 @default.
- W1858277178 hasConcept C33923547 @default.
- W1858277178 hasConcept C69357855 @default.
- W1858277178 hasConcept C97355855 @default.
- W1858277178 hasConceptScore W1858277178C121332964 @default.
- W1858277178 hasConceptScore W1858277178C121864883 @default.
- W1858277178 hasConceptScore W1858277178C149782125 @default.
- W1858277178 hasConceptScore W1858277178C33923547 @default.
- W1858277178 hasConceptScore W1858277178C69357855 @default.
- W1858277178 hasConceptScore W1858277178C97355855 @default.
- W1858277178 hasLocation W18582771781 @default.
- W1858277178 hasLocation W18582771782 @default.
- W1858277178 hasOpenAccess W1858277178 @default.
- W1858277178 hasPrimaryLocation W18582771781 @default.
- W1858277178 hasRelatedWork W131638165 @default.
- W1858277178 hasRelatedWork W181886863 @default.
- W1858277178 hasRelatedWork W1966056222 @default.
- W1858277178 hasRelatedWork W2005476248 @default.
- W1858277178 hasRelatedWork W2045807138 @default.
- W1858277178 hasRelatedWork W2055961031 @default.
- W1858277178 hasRelatedWork W2068452861 @default.
- W1858277178 hasRelatedWork W2074508887 @default.
- W1858277178 hasRelatedWork W3210295519 @default.
- W1858277178 hasRelatedWork W3217638703 @default.
- W1858277178 isParatext "false" @default.
- W1858277178 isRetracted "false" @default.
- W1858277178 magId "1858277178" @default.
- W1858277178 workType "article" @default.