Matches in SemOpenAlex for { <https://semopenalex.org/work/W2808218318> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2808218318 abstract "Consider a cellular automaton with state space {0,1} ℤ2 where the initial configuration ω_0 is chosen according to a Bernoulli product measure, 1’s are stable, and 0’s become 1’s if they are surrounded by at least three neighboring 1’s. In this paper we show that the configuration ω_n at time n converges exponentially fast to a final configuration (baromega), and that the limiting measure corresponding to (baromega) is in the universality class of Bernoulli (independent) percolation. More precisely, assuming the existence of the critical exponents β, η, ν and γ, and of the continuum scaling limit of crossing probabilities for independent site percolation on the close-packed version of ℤ2 (i.e. for independent *-percolation on ℤ), we prove that the bootstrapped percolation model has the same scaling limit and critical exponents.This type of bootstrap percolation can be seen as a paradigm for a class of cellular automata whose evolution is given, at each time step, by a monotonic and nonessential enhancement [Aizenman and Grimmett, J. Stat. Phys. 63: 817--835 (1991); Grimmett, Percolation, 2nd Ed. (Springer, Berlin, 1999)" @default.
- W2808218318 created "2018-06-21" @default.
- W2808218318 creator A5043104960 @default.
- W2808218318 date "2004-01-01" @default.
- W2808218318 modified "2023-09-23" @default.
- W2808218318 title "Scaling limit and critical exponents for two-dimensional bootstrap percolation" @default.
- W2808218318 hasPublicationYear "2004" @default.
- W2808218318 type Work @default.
- W2808218318 sameAs 2808218318 @default.
- W2808218318 citedByCount "0" @default.
- W2808218318 crossrefType "journal-article" @default.
- W2808218318 hasAuthorship W2808218318A5043104960 @default.
- W2808218318 hasConcept C11413529 @default.
- W2808218318 hasConcept C121332964 @default.
- W2808218318 hasConcept C121864883 @default.
- W2808218318 hasConcept C134306372 @default.
- W2808218318 hasConcept C152361515 @default.
- W2808218318 hasConcept C158574103 @default.
- W2808218318 hasConcept C15867958 @default.
- W2808218318 hasConcept C164154869 @default.
- W2808218318 hasConcept C169760540 @default.
- W2808218318 hasConcept C177634923 @default.
- W2808218318 hasConcept C24084028 @default.
- W2808218318 hasConcept C2524010 @default.
- W2808218318 hasConcept C2729557 @default.
- W2808218318 hasConcept C2780457167 @default.
- W2808218318 hasConcept C33923547 @default.
- W2808218318 hasConcept C35527583 @default.
- W2808218318 hasConcept C55606962 @default.
- W2808218318 hasConcept C62520636 @default.
- W2808218318 hasConcept C69990965 @default.
- W2808218318 hasConcept C72169020 @default.
- W2808218318 hasConcept C86803240 @default.
- W2808218318 hasConcept C90673727 @default.
- W2808218318 hasConcept C97355855 @default.
- W2808218318 hasConcept C99844830 @default.
- W2808218318 hasConceptScore W2808218318C11413529 @default.
- W2808218318 hasConceptScore W2808218318C121332964 @default.
- W2808218318 hasConceptScore W2808218318C121864883 @default.
- W2808218318 hasConceptScore W2808218318C134306372 @default.
- W2808218318 hasConceptScore W2808218318C152361515 @default.
- W2808218318 hasConceptScore W2808218318C158574103 @default.
- W2808218318 hasConceptScore W2808218318C15867958 @default.
- W2808218318 hasConceptScore W2808218318C164154869 @default.
- W2808218318 hasConceptScore W2808218318C169760540 @default.
- W2808218318 hasConceptScore W2808218318C177634923 @default.
- W2808218318 hasConceptScore W2808218318C24084028 @default.
- W2808218318 hasConceptScore W2808218318C2524010 @default.
- W2808218318 hasConceptScore W2808218318C2729557 @default.
- W2808218318 hasConceptScore W2808218318C2780457167 @default.
- W2808218318 hasConceptScore W2808218318C33923547 @default.
- W2808218318 hasConceptScore W2808218318C35527583 @default.
- W2808218318 hasConceptScore W2808218318C55606962 @default.
- W2808218318 hasConceptScore W2808218318C62520636 @default.
- W2808218318 hasConceptScore W2808218318C69990965 @default.
- W2808218318 hasConceptScore W2808218318C72169020 @default.
- W2808218318 hasConceptScore W2808218318C86803240 @default.
- W2808218318 hasConceptScore W2808218318C90673727 @default.
- W2808218318 hasConceptScore W2808218318C97355855 @default.
- W2808218318 hasConceptScore W2808218318C99844830 @default.
- W2808218318 hasLocation W28082183181 @default.
- W2808218318 hasOpenAccess W2808218318 @default.
- W2808218318 hasPrimaryLocation W28082183181 @default.
- W2808218318 hasRelatedWork W1955247179 @default.
- W2808218318 hasRelatedWork W2073847554 @default.
- W2808218318 hasRelatedWork W2122595745 @default.
- W2808218318 hasRelatedWork W2123820136 @default.
- W2808218318 hasRelatedWork W2161436091 @default.
- W2808218318 hasRelatedWork W2613028829 @default.
- W2808218318 hasRelatedWork W2788805443 @default.
- W2808218318 hasRelatedWork W2899119003 @default.
- W2808218318 hasRelatedWork W2916680840 @default.
- W2808218318 hasRelatedWork W2949547343 @default.
- W2808218318 hasRelatedWork W2952057692 @default.
- W2808218318 hasRelatedWork W2966999195 @default.
- W2808218318 hasRelatedWork W3007012910 @default.
- W2808218318 hasRelatedWork W3037447628 @default.
- W2808218318 hasRelatedWork W3099412398 @default.
- W2808218318 hasRelatedWork W3100010062 @default.
- W2808218318 hasRelatedWork W3102893761 @default.
- W2808218318 hasRelatedWork W3104006364 @default.
- W2808218318 hasRelatedWork W3202164921 @default.
- W2808218318 hasRelatedWork W2809512992 @default.
- W2808218318 hasVolume "2004010" @default.
- W2808218318 isParatext "false" @default.
- W2808218318 isRetracted "false" @default.
- W2808218318 magId "2808218318" @default.
- W2808218318 workType "article" @default.