Unpredictable paths and percolation
From MaRDI portal
Publication:1307482
DOI10.1214/aop/1022855749zbMath0937.60070arXivmath/9701227OpenAlexW2070165567MaRDI QIDQ1307482
Robin Pemantle, Itai Benjamini, Yuval Peres
Publication date: 7 June 2000
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9701227
Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Probabilistic potential theory (60J45)
Related Items
Continuous symmetry breaking along the Nishimori line, Broadcasting on trees and the Ising model., Existence of phase transition for percolation using the Gaussian free field, Energy of flows onZ2 percolation clusters, Transience and anchored isoperimetric dimension of supercritical percolation clusters, Gap at 1 for the percolation threshold of Cayley graphs, Searching for a trail of evidence in a maze, Effective resistances for supercritical percolation clusters in boxes, Transience and recurrence of random walks on percolation clusters in an ultrametric space, Biased random walk in a one-dimensional percolation model, Infinite and Giant Components in the Layers Percolation Model, Group synchronization on grids, Detecting a Path of Correlations in a Network, Unpredictable nearest neighbor processes, Nearest-neighbor walks with low predictability profile and percolation in \(2+\varepsilon\) dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The existence of an intermediate phase for the contact process on trees
- Random walks and percolation on trees
- The probability of a large cluster in supercritical Bernoulli perlocation
- Unpredictable nearest neighbor processes
- Nearest-neighbor walks with low predictability profile and percolation in \(2+\varepsilon\) dimensions
- Random walk on the infinite cluster of the percolation model
- Potential theory on infinite networks
- Surface order large deviations for Ising, Potts and percolation models
- On the chemical distance for supercritical Bernoulli percolation
- The supercritical phase of percolation is well behaved
- A branching process showing a phase transition
- Oriented percolation in dimensions d ≥ 4: bounds and asymptotic formulas
- Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes
