Russo's formula for random interlacements

DOI10.1007/s10955-015-1268-zzbMath1357.60108arXiv1412.0971OpenAlexW2000299371MaRDI QIDQ513004

Diego F. De Bernardini, Serguei Popov

Publication date: 3 March 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0971

zbMATH Keywords

percolationrandom interlacementsRusso's formulaincreasing eventsplus-pivotal trajectories

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items

On bulk deviations for the local behavior of random interlacements, On the \(C^1\)-property of the percolation function of random interlacements and a related variational problem, An improved decoupling inequality for random interlacements, Continuity and uniqueness of percolation critical parameters in finitary random interlacements

Cites Work

• On the critical parameter of interlacement percolation in high dimension
• On the size of a finite vacant cluster of random interlacements with small intensity
• A lower bound on the critical parameter of interlacement percolation in high dimension
• Soft local times and decoupling of random interlacements
• Vacant set of random interlacements and percolation
• On the uniqueness of the infinite cluster of the vacant set of random interlacements
• Percolation
• An Introduction to Random Interlacements
• Unnamed Item