Lower large deviations for the maximal flow through a domain of $${\mathbb{R}^d}$$ in first passage percolation

Probability Theory and Related Fields ◽

10.1007/s00440-010-0287-6 ◽

2010 ◽

Vol 150 (3-4) ◽

pp. 635-661 ◽

Author(s):

Raphaël Cerf ◽

Marie Théret

Keyword(s):

Large Deviations ◽

Maximal Flow ◽

First Passage Percolation ◽

First Passage ◽

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Lower large deviations for the maximal flow through tilted cylinders in two-dimensional first passage percolation

ESAIM Probability and Statistics ◽

10.1051/ps/2011109 ◽

2012 ◽

Vol 17 ◽

pp. 70-104

Author(s):

Raphaël Rossignol ◽

Marie Théret

Keyword(s):

Large Deviations ◽

Two Dimensional ◽

Maximal Flow ◽

First Passage Percolation ◽

First Passage ◽

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Upper large deviations for the maximal flow through a domain of ℝ d in first passage percolation

The Annals of Applied Probability ◽

10.1214/10-aap732 ◽

2011 ◽

Vol 21 (6) ◽

pp. 2075-2108

Author(s):

Raphaël Cerf ◽

Marie Théret

Keyword(s):

Large Deviations ◽

Maximal Flow ◽

First Passage Percolation ◽

First Passage ◽

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Lower large deviations for the maximal flow through tilted cylinders in two-dimensional first passage percolation

ESAIM Probability and Statistics ◽

10.1051/ps/2011145 ◽

2012 ◽

Vol 17 ◽

pp. 70-104

Author(s):

Raphaël Rossignol ◽

Marie Théret

Keyword(s):

Large Deviations ◽

Two Dimensional ◽

Maximal Flow ◽

First Passage Percolation ◽

First Passage ◽

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Law of large numbers for the maximal flow through tilted cylinders in two-dimensional first passage percolation

Stochastic Processes and their Applications ◽

10.1016/j.spa.2010.02.005 ◽

2010 ◽

Vol 120 (6) ◽

pp. 873-900

Author(s):

Raphaël Rossignol ◽

Marie Théret

Keyword(s):

Law Of Large Numbers ◽

Two Dimensional ◽

Maximal Flow ◽

First Passage Percolation ◽

First Passage ◽

Large Numbers ◽

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Upper large deviations for the maximal flow in first-passage percolation

Stochastic Processes and their Applications ◽

10.1016/j.spa.2006.12.007 ◽

2007 ◽

Vol 117 (9) ◽

pp. 1208-1233 ◽

Author(s):

Marie Théret

Keyword(s):

Large Deviations ◽

Maximal Flow ◽

First Passage Percolation ◽

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Law of large numbers for the maximal flow through a domain of $\mathbb{R}^{d}$ in first passage percolation

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2011-05341-9 ◽

2011 ◽

Vol 363 (07) ◽

pp. 3665-3665 ◽

Author(s):

Raphaël Cerf ◽

Marie Théret

Keyword(s):

Law Of Large Numbers ◽

Maximal Flow ◽

First Passage Percolation ◽

First Passage ◽

Large Numbers ◽

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Large deviations in subadditive processes and first-passage percolation

Particle Systems, Random Media and Large Deviations - Contemporary Mathematics ◽

10.1090/conm/041/814710 ◽

1985 ◽

pp. 175-194 ◽

Author(s):

Geoffrey Grimmett

Keyword(s):

Large Deviations ◽

First Passage Percolation ◽

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Large deviations in first-passage percolation

The Annals of Applied Probability ◽

10.1214/aoap/1069786513 ◽

2003 ◽

Vol 13 (4) ◽

pp. 1601-1614 ◽

Author(s):

Yu Zhang ◽

Yunshyong Chow

Keyword(s):

Large Deviations ◽

First Passage Percolation ◽

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Upper Tail Large Deviations in First Passage Percolation

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.22010 ◽

2021 ◽

Vol 74 (8) ◽

pp. 1577-1640

Author(s):

Riddhipratim Basu ◽

Allan Sly ◽

Shirshendu Ganguly

Keyword(s):

Large Deviations ◽

First Passage Percolation ◽

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The maximal flow from a compact convex subset to infinity in first passage percolation on $\mathbb{Z}^{d}$

The Annals of Probability ◽

10.1214/19-aop1367 ◽

2020 ◽

Vol 48 (2) ◽

pp. 622-645

Author(s):

Barbara Dembin

Keyword(s):

Convex Subset ◽

Compact Convex ◽

Compact Convex Subset ◽

Maximal Flow ◽

First Passage Percolation ◽

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