Random interlacements for vertex-reinforced jump processes

Franz Merkl; Silke W.W. Rolles; Pierre Tarrès

doi:10.1214/20-AIHP1107

Random interlacements for vertex-reinforced jump processes

Franz Merkl, Silke W.W. Rolles, Pierre Tarrès

Associate Professorship of Probability Theory

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We introduce random interlacements for transient vertex-reinforced jump processes on a general graph G. Using increasing finite subgraphs Gn of G with wired boundary conditions, we show convergence of the vertex-reinforced jump process on Gn observed in a finite window to the random interlacement observed in the same window.

Original language	English
Pages (from-to)	1058-1080
Number of pages	23
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	57
Issue number	2
DOIs	https://doi.org/10.1214/20-AIHP1107
State	Published - May 2021

Keywords

Random interlacement
Vertex-reinforced jump process

Access to Document

10.1214/20-AIHP1107

Cite this

@article{647e8282e6bb485f877dadcb8fce5831,

title = "Random interlacements for vertex-reinforced jump processes",

abstract = "We introduce random interlacements for transient vertex-reinforced jump processes on a general graph G. Using increasing finite subgraphs Gn of G with wired boundary conditions, we show convergence of the vertex-reinforced jump process on Gn observed in a finite window to the random interlacement observed in the same window.",

keywords = "Random interlacement, Vertex-reinforced jump process",

author = "Franz Merkl and Rolles, {Silke W.W.} and Pierre Tarr{\`e}s",

year = "2021",

month = may,

doi = "10.1214/20-AIHP1107",

language = "English",

volume = "57",

pages = "1058--1080",

journal = "Annales de l'institut Henri Poincare (B) Probability and Statistics",

issn = "0246-0203",

publisher = "Institute of Mathematical Statistics",

number = "2",

}

TY - JOUR

T1 - Random interlacements for vertex-reinforced jump processes

AU - Merkl, Franz

AU - Rolles, Silke W.W.

AU - Tarrès, Pierre

PY - 2021/5

Y1 - 2021/5

N2 - We introduce random interlacements for transient vertex-reinforced jump processes on a general graph G. Using increasing finite subgraphs Gn of G with wired boundary conditions, we show convergence of the vertex-reinforced jump process on Gn observed in a finite window to the random interlacement observed in the same window.

AB - We introduce random interlacements for transient vertex-reinforced jump processes on a general graph G. Using increasing finite subgraphs Gn of G with wired boundary conditions, we show convergence of the vertex-reinforced jump process on Gn observed in a finite window to the random interlacement observed in the same window.

KW - Random interlacement

KW - Vertex-reinforced jump process

UR - http://www.scopus.com/inward/record.url?scp=85106392445&partnerID=8YFLogxK

U2 - 10.1214/20-AIHP1107

DO - 10.1214/20-AIHP1107

M3 - Article

AN - SCOPUS:85106392445

SN - 0246-0203

VL - 57

SP - 1058

EP - 1080

JO - Annales de l'institut Henri Poincare (B) Probability and Statistics

JF - Annales de l'institut Henri Poincare (B) Probability and Statistics

IS - 2

ER -

Random interlacements for vertex-reinforced jump processes

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this