Absence of warm percolation in the very strong reinforcement regime

DOI10.1214/20-AAP1587zbMath1479.60196OpenAlexW3138696247MaRDI QIDQ2240813

Yanyan Li

Publication date: 4 November 2021

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/annals-of-applied-probability/volume-31/issue-1/Absence-of-WARM-percolation-in-the-very-strong-reinforcement-regime/10.1214/20-AAP1587.full

zbMATH Keywords

percolationPoisson point processcouplingreinforcementPólya's urn

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)

Related Items (7)

Extremal linkage networks ⋮ Alignment percolation ⋮ Infinite WARM graphs III: strong reinforcement regime ⋮ MATRIX-MFO tandem workshop: Stochastic reinforcement processes and graphs. Abstracts from the MATRIX-MFO tandem workshop held March 5--10, 2023 ⋮ Balanced excited random walk in two dimensions ⋮ Weakly reinforced Pólya urns on countable networks ⋮ The trace-reinforced ants process does not find shortest paths

Cites Work

• Strongly reinforced Pólya urns with graph-based competition
• A survey of random processes with reinforcement
• Domination by product measures
• Trees and matchings from point processes
• A generalized Pólya's urn with graph based interactions: convergence at linearity
• Functional limit theorems for multitype branching processes and generalized Pólya urns.
• Degenerate random environments
• Polya Urn Models
• Proof of the WARM whisker conjecture for neuronal connections
• A generalized Pólya's urn with graph based interactions
• Forward Clusters for Degenerate Random Environments
• Lectures on the Poisson Process
• Descending chains, the lilypond model, and mutual-nearest-neighbour matching

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