On the cost of the bubble set for random interlacements

DOI10.1007/S00222-023-01190-9zbMath1528.60105arXiv2105.12110OpenAlexW3165114706MaRDI QIDQ6107882

Alain-Sol Sznitman

Publication date: 28 June 2023

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12110

zbMATH Keywords

random interlacementsbubble set

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Percolation (82B43)

Related Items (1)

Extracting subsets maximizing capacity and folding of random walks

Cites Work

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• Local percolative properties of the vacant set of random interlacements with small intensity
• Disconnection, random walks, and random interlacements
• Solidification of porous interfaces and disconnection
• Entropic repulsion for the occupation-time field of random interlacements conditioned on disconnection
• Disconnection and level-set percolation for the Gaussian free field
• Vacant set of random interlacements and percolation
• On the uniqueness of the infinite cluster of the vacant set of random interlacements
• Capacity and principal eigenvalues: The method of enlargement of obstacles revisited
• The strong maximum principle revisited.
• The sign clusters of the massless Gaussian free field percolate on \(\mathbb{Z}^{d}\), \(d \geqslant 3\) (and more)
• Surface order large deviations for high-density percolation
• The Wulff construction in three and more dimensions
• On the \(C^1\)-property of the percolation function of random interlacements and a related variational problem
• Disconnection by level sets of the discrete Gaussian free field and entropic repulsion
• Disconnection and entropic repulsion for the harmonic crystal with random conductances
• On the radius of Gaussian free field excursion clusters
• Entropic repulsion for the Gaussian free field conditioned on disconnection by level-sets
• Local picture and level-set percolation of the Gaussian free field on a large discrete torus
• On macroscopic holes in some supercritical strongly dependent percolation models
• A lower bound for disconnection by simple random walk
• A lower bound for disconnection by random interlacements
• Excess deviations for points disconnected by random interlacements
• Critical exponents for a percolation model on transient graphs
• Random Walks and Heat Kernels on Graphs
• Percolation for the vacant set of random interlacements
• An Introduction to Random Interlacements
• Equality of critical parameters for percolation of Gaussian free field level sets

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