Cover Image

Random interlacements on transient weighted graphs: 0-1 laws and FKG inequality

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Collin, Orphée
Format:	Preprint
Published:	2026
Subjects:	Probability 60K35, 82B43, 60F20, 60J10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Half-plane non-coexistence without FKG
by: Klausen, Frederik Ravn, et al.
Published: (2026)

On an epidemic model on finite graphs
by: Benjamini, Itai, et al.
Published: (2016)

Quenched local limit theorem for a directed random walk on the backbone of a supercritical oriented percolation cluster for $d \ge 1$
by: Bethuelsen, Stein Andreas, et al.
Published: (2024)

Quenched CLT for ancestral lineages of logistic branching random walks
by: Birkner, Matthias, et al.
Published: (2024)

On the large interaction asymptotics of the free energy density of the Ising chain with disordered centered external field
by: Collin, Orphée
Published: (2024)

Lower bounds for bulk deviations for the simple random walk on $\mathbb{Z}^d$, $d\geq 3$
by: Chiarini, Alberto, et al.
Published: (2023)

On the shape of the connected components of the complement of two-dimensional Brownian random interlacements
by: Collin, Orphée, et al.
Published: (2024)

Asymptotics for the percolation threshold of finitary random interlacements in four and higher dimensions
by: Bi, Yijie, et al.
Published: (2025)

Monotonicity of Markov chain transition probabilities via quasi-stationarity -- an application to Bernoulli percolation on $C_k \times Z$
by: König, Philipp, et al.
Published: (2022)

One-arm probabilities for the two-dimensional metric-graph and discrete Gaussian free field
by: Bi, Yijie, et al.
Published: (2026)

Solidification estimates for random walks on supercritical percolation clusters
by: Chiarini, Alberto, et al.
Published: (2025)

Further results on the free energy of the random field Ising chain in the case of centered disorder
by: Collin, Orphée
Published: (2025)

Geometry of Gaussian free field sign clusters and random interlacements
by: Drewitz, Alexander, et al.
Published: (2018)

Sharp connectivity bounds for the vacant set of random interlacements
by: Goswami, Subhajit, et al.
Published: (2025)

Strong local uniqueness for the vacant set of random interlacements
by: Goswami, Subhajit, et al.
Published: (2025)

Anomalous scaling law for the two-dimensional Gaussian free field
by: Rodriguez, Pierre-François, et al.
Published: (2025)

Classification of the limit shape for 1+1-dimensional FPP
by: Hassler, Malte
Published: (2024)

Percolation in lattice $k$-neighbor graphs
by: Jahnel, Benedikt, et al.
Published: (2023)

Percolation threshold for metric graph loop soup
by: Chang, Yinshan, et al.
Published: (2023)

Sharpness of the percolation phase transition for weighted random connection models
by: Caicedo, Alejandro, et al.
Published: (2025)

The random field Ising chain domain-wall structure in the large interaction limit
by: Collin, Orphée, et al.
Published: (2024)

Cluster volumes for the Gaussian free field on metric graphs
by: Drewitz, Alexander, et al.
Published: (2024)

On cable-graph percolation between dimensions 2 and 3
by: Rodriguez, Pierre-François, et al.
Published: (2025)

Contact Process under heavy-tailed renewals on finite graphs
by: Fontes, Luiz Renato, et al.
Published: (2019)

Expansion of the Critical Intensity for the Random Connection Model
by: Dickson, Matthew, et al.
Published: (2023)

Arm exponent for the Gaussian free field on metric graphs in intermediate dimensions
by: Drewitz, Alexander, et al.
Published: (2023)

Only long edges can erase the subcritical annulus-crossing phase of weight-dependent random connection models
by: Jacob, Emmanuel
Published: (2023)

Non-coincidence of critical points for directed polymers on supercritical percolation clusters
by: Cottini, Francesca, et al.
Published: (2025)

Speed of Convergence and Moderate Deviations of FPP on Random Geometric Graphs
by: de Lima, Lucas R., et al.
Published: (2024)

Results on the contact process with dynamic edges or under renewals
by: Hilário, Marcelo, et al.
Published: (2021)

Renewal Contact Processes: phase transition and survival
by: Fontes, Luiz Renato, et al.
Published: (2021)

Survival of one dimensional renewal contact process
by: Santos, Rafael, et al.
Published: (2023)

Large deviations at the origin of random walk in random environment
by: Drewitz, Alexander, et al.
Published: (2024)

Monotonicity properties for Bernoulli percolation on layered graphs -- a Markov chain approach
by: König, Philipp, et al.
Published: (2022)

Large deviations for out of equilibrium correlations in the symmetric simple exclusion process
by: Bodineau, Thierry, et al.
Published: (2022)

Gibbs conditioning principle for log-concave independent random variables
by: Cator, Eric, et al.
Published: (2025)

Sharp total variation rates of convergence for fluctuations of linear statistics of $β$-ensembles
by: Angst, Jürgen, et al.
Published: (2024)

The noisy voter model with general initial conditions
by: Caddeo, Patrizio, et al.
Published: (2025)

First contact percolation
by: Jahnel, Benedikt, et al.
Published: (2024)

Convergence of $k$-point functions in high dimensional percolation
by: Chatterjee, Shirshendu, et al.
Published: (2026)