Transversal fluctuations for a first passage percolation model

Yuri Bakhtin; Wei Wu

doi:10.1214/18-AIHP908

Transversal fluctuations for a first passage percolation model

Yuri Bakhtin, Wei Wu

Mathematics

Research output: Contribution to journal › Review article › peer-review

Abstract

In 1996, Licea, Newman, and Piza proved that for a rather convoluted definition of the transversal fluctuation exponent in first passage percolation, that exponent is bounded below by 3/5. In this paper we introduce a new first passage percolation model in a Poissonian environment on R², and prove the same estimate for a natural clean notion of the exponent.

Original language	English (US)
Pages (from-to)	1042-1060
Number of pages	19
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	55
Issue number	2
DOIs	https://doi.org/10.1214/18-AIHP908
State	Published - May 2019

Keywords

First passage percolation
Poissonian potential
Superdiffusivity
Transversal fluctuation

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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abstract = "In 1996, Licea, Newman, and Piza proved that for a rather convoluted definition of the transversal fluctuation exponent in first passage percolation, that exponent is bounded below by 3/5. In this paper we introduce a new first passage percolation model in a Poissonian environment on R2, and prove the same estimate for a natural clean notion of the exponent.",

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PY - 2019/5

Y1 - 2019/5

N2 - In 1996, Licea, Newman, and Piza proved that for a rather convoluted definition of the transversal fluctuation exponent in first passage percolation, that exponent is bounded below by 3/5. In this paper we introduce a new first passage percolation model in a Poissonian environment on R2, and prove the same estimate for a natural clean notion of the exponent.

AB - In 1996, Licea, Newman, and Piza proved that for a rather convoluted definition of the transversal fluctuation exponent in first passage percolation, that exponent is bounded below by 3/5. In this paper we introduce a new first passage percolation model in a Poissonian environment on R2, and prove the same estimate for a natural clean notion of the exponent.

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KW - Poissonian potential

KW - Superdiffusivity

KW - Transversal fluctuation

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Transversal fluctuations for a first passage percolation model

Abstract

Keywords

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