Backbone scaling for critical lattice trees in high dimensions

DOI10.1088/1751-8113/49/31/314001zbMath1368.82005OpenAlexW2470928838MaRDI QIDQ2816804

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Publication date: 25 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6601bf541f6f50f3396cd6fb7d66c3d2e9f49906

zbMATH Keywords

Brownian motionlace expansionhistorical processlattice treesfunctional CLT

Mathematics Subject Classification ID

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) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Random measures (60G57) Functional limit theorems; invariance principles (60F17)

Related Items (4)

On the range of lattice models in high dimensions ⋮ Historical lattice trees ⋮ Models of random subtrees of a graph ⋮ Spatial moments for high-dimensional critical contact process, oriented percolation and lattice trees

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