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A criterion for convergence to super-Brownian motion on path space

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Publication:516122
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DOI10.1214/14-AOP953zbMath1364.82025OpenAlexW3021267512MaRDI QIDQ516122

Edwin A. Perkins, Remco van der Hofstad, Mark P. Holmes

Publication date: 22 March 2017

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aop/1485421334


zbMATH Keywords

super-Brownian motionfunctional limit theoremlattice trees


Mathematics Subject Classification ID

Trees (05C05) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Functional limit theorems; invariance principles (60F17)


Related Items (6)

Superbrownian motion and the spatial lambda-Fleming-Viot process ⋮ The survival probability and \(r\)-point functions in high dimensions ⋮ On the range of lattice models in high dimensions ⋮ Rescaling the spatial Lambda-Fleming-Viot process and convergence to super-Brownian motion ⋮ Historical lattice trees ⋮ NoBLE for lattice trees and lattice animals




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