Matches in SemOpenAlex for { <https://semopenalex.org/work/W2573996921> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W2573996921 endingPage "18" @default.
- W2573996921 startingPage "1" @default.
- W2573996921 abstract "Consider the following forest-fire model where trees are located on sites of Z. A site can be vacant or be occupied by a tree. Each vacant site becomes occupied at rate l, independently of the other sites. Each site is hit by lightning with rate lambda, which burns down the occupied cluster of that site instantaneously. As lambda v O this process is believed to display self-organised critical behaviour. This paper is mainly concerned with the cluster size distribution in steady-state. Drossel, Clar and Schwabl [3] claimed that the cluster size distribution has a certain power law behaviour which holds for cluster sizes that are not too large compared to some explicit cluster size smax. The latter can written in terms of A approximately as smax ln(smax) = l/lambda. However, Van den Berg and Jarai [1] showed that this claim is not correct for cluster sizes of order smax, which left the question for which cluster sizes the power law behaviour does hold. Our main result is a rigorous proof of the power law behaviour up to cluster sizes of the order Smax-1/3. Further, it proves the existence of a stationary translation invariant distribution, which was always assumed but never shown rigorously in the literature." @default.
- W2573996921 created "2017-01-26" @default.
- W2573996921 creator A5039757257 @default.
- W2573996921 creator A5064430262 @default.
- W2573996921 date "2005-01-01" @default.
- W2573996921 modified "2023-09-23" @default.
- W2573996921 title "The cluster size distribution for a forest-fire process on Z." @default.
- W2573996921 hasPublicationYear "2005" @default.
- W2573996921 type Work @default.
- W2573996921 sameAs 2573996921 @default.
- W2573996921 citedByCount "0" @default.
- W2573996921 crossrefType "journal-article" @default.
- W2573996921 hasAuthorship W2573996921A5039757257 @default.
- W2573996921 hasAuthorship W2573996921A5064430262 @default.
- W2573996921 hasConcept C105795698 @default.
- W2573996921 hasConcept C110121322 @default.
- W2573996921 hasConcept C113174947 @default.
- W2573996921 hasConcept C114614502 @default.
- W2573996921 hasConcept C120665830 @default.
- W2573996921 hasConcept C121332964 @default.
- W2573996921 hasConcept C121864883 @default.
- W2573996921 hasConcept C134306372 @default.
- W2573996921 hasConcept C164866538 @default.
- W2573996921 hasConcept C199360897 @default.
- W2573996921 hasConcept C2524010 @default.
- W2573996921 hasConcept C2778113609 @default.
- W2573996921 hasConcept C33923547 @default.
- W2573996921 hasConcept C41008148 @default.
- W2573996921 hasConcept C87040749 @default.
- W2573996921 hasConceptScore W2573996921C105795698 @default.
- W2573996921 hasConceptScore W2573996921C110121322 @default.
- W2573996921 hasConceptScore W2573996921C113174947 @default.
- W2573996921 hasConceptScore W2573996921C114614502 @default.
- W2573996921 hasConceptScore W2573996921C120665830 @default.
- W2573996921 hasConceptScore W2573996921C121332964 @default.
- W2573996921 hasConceptScore W2573996921C121864883 @default.
- W2573996921 hasConceptScore W2573996921C134306372 @default.
- W2573996921 hasConceptScore W2573996921C164866538 @default.
- W2573996921 hasConceptScore W2573996921C199360897 @default.
- W2573996921 hasConceptScore W2573996921C2524010 @default.
- W2573996921 hasConceptScore W2573996921C2778113609 @default.
- W2573996921 hasConceptScore W2573996921C33923547 @default.
- W2573996921 hasConceptScore W2573996921C41008148 @default.
- W2573996921 hasConceptScore W2573996921C87040749 @default.
- W2573996921 hasOpenAccess W2573996921 @default.
- W2573996921 hasRelatedWork W1498146304 @default.
- W2573996921 hasRelatedWork W1633263043 @default.
- W2573996921 hasRelatedWork W1858277178 @default.
- W2573996921 hasRelatedWork W1999946482 @default.
- W2573996921 hasRelatedWork W2149127922 @default.
- W2573996921 hasRelatedWork W2328933056 @default.
- W2573996921 hasRelatedWork W2506352428 @default.
- W2573996921 hasRelatedWork W2522234507 @default.
- W2573996921 hasRelatedWork W2603732323 @default.
- W2573996921 hasRelatedWork W2897123073 @default.
- W2573996921 hasRelatedWork W2949865056 @default.
- W2573996921 hasRelatedWork W2951146746 @default.
- W2573996921 hasRelatedWork W2952400742 @default.
- W2573996921 hasRelatedWork W2953049807 @default.
- W2573996921 hasRelatedWork W2963908805 @default.
- W2573996921 hasRelatedWork W2994937701 @default.
- W2573996921 hasRelatedWork W3213786472 @default.
- W2573996921 hasRelatedWork W1679315626 @default.
- W2573996921 hasRelatedWork W1915213027 @default.
- W2573996921 hasRelatedWork W2376659533 @default.
- W2573996921 isParatext "false" @default.
- W2573996921 isRetracted "false" @default.
- W2573996921 magId "2573996921" @default.
- W2573996921 workType "article" @default.