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1998 Loop-Erased Walks Intersect Infinitely Often in Four Dimensions
Gregory Lawler
Author Affiliations +
Electron. Commun. Probab. 3: 35-42 (1998). DOI: 10.1214/ECP.v3-991

Abstract

In this short note we show that the paths two independent loop-erased random walks in four dimensions intersect infinitely often. We actually prove the stronger result that the cut-points of the two walks intersect infinitely often.

Citation

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Gregory Lawler. "Loop-Erased Walks Intersect Infinitely Often in Four Dimensions." Electron. Commun. Probab. 3 35 - 42, 1998. https://doi.org/10.1214/ECP.v3-991

Information

Accepted: 6 June 1998; Published: 1998
First available in Project Euclid: 2 March 2016

zbMATH: 0907.60063
MathSciNet: MR1637969
Digital Object Identifier: 10.1214/ECP.v3-991

Subjects:
Primary: 60J15

Keywords: intersections , Loop-Erased Walks , Random walks

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