Phase transition in loop percolation
From MaRDI portal
Publication:267029
DOI10.1007/s00440-015-0624-xzbMath1341.60123arXiv1403.5687OpenAlexW2035265484MaRDI QIDQ267029
Yinshan Chang, Artëm Sapozhnikov
Publication date: 7 April 2016
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.5687
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
Related Items
Percolation and isoperimetry on roughly transitive graphs, Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soups, Percolation of worms, Supercritical loop percolation on \(\mathbb{Z}^d\) for \(d \geq 3\), Equality of critical parameters for percolation of Gaussian free field level sets, Capacity of the range of random walk on \(\mathbb{Z}^{4}\), Markov loops, free field and Eulerian networks, Phase transition for level-set percolation of the membrane model in dimensions \(d \geq 5\), Space-time random walk loop measures, Conditional decoupling of random interlacements, Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup, From loop clusters and random interlacements to the free field
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Markovian loop clusters on graphs
- Decoupling inequalities and interlacement percolation on \(G\times \mathbb Z\)
- Topics in occupation times and Gaussian free fields
- Markovian loop clusters
- On the transience of random interlacements
- Soft local times and decoupling of random interlacements
- Vacant set of random interlacements and percolation
- Markov loops and renormalization
- The probability of intersection of independent random walks in four dimensions
- Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses
- The Brownian loop soup
- Intersections of random walks
- Percolation in strongly correlated systems: The massless Gaussian field
- Conformal loop ensembles: the Markovian characterization and the loop-soup construction
- Phase transition and level-set percolation for the Gaussian free field
- On decoupling inequalities and percolation of excursion sets of the Gaussian free field
- The lace expansion and its application. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004.
- Random walk loop soup
- Random Walk: A Modern Introduction
- Percolation
- An Introduction to Heavy-Tailed and Subexponential Distributions
- A large-deviation result for the range of random walk and for the Wiener sausage
