The survival probability and \(r\)-point functions in high dimensions
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Publication:363351
DOI10.4007/annals.2013.178.2.5zbMath1284.82039arXiv1110.0796OpenAlexW2119463616MaRDI QIDQ363351
Remco van der Hofstad, Mark P. Holmes
Publication date: 2 September 2013
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.0796
critical exponentsphase transitionscaling limitsuper-Brownian motionsurvival probabilitycontact processoriented percolationlattice trees
Brownian motion (60J65) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Time-dependent percolation in statistical mechanics (82C43)
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On the range of lattice models in high dimensions, Historical lattice trees, Hyperscaling for oriented percolation in \(1+1\) space-time dimensions, NoBLE for lattice trees and lattice animals
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