Chord-distribution functions of three-dimensional random media: Approximate first-passage times of Gaussian processes

Physical Review E ◽

10.1103/physreve.59.4953 ◽

1999 ◽

Vol 59 (5) ◽

pp. 4953-4963 ◽

Author(s):

A. P. Roberts ◽

S. Torquato

Keyword(s):

Gaussian Processes ◽

Random Media ◽

Three Dimensional ◽

Distribution Functions ◽

First Passage Times ◽

First Passage ◽

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On the first-passage times of certain Gaussian processes, and related asymptotics

Stochastic Analysis and Applications ◽

10.1080/07362994.2020.1843495 ◽

2020 ◽

pp. 1-16

Author(s):

Mario Abundo

Keyword(s):

Gaussian Processes ◽

First Passage Times ◽

First Passage ◽

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Certain Properties of Gaussian Processes and Their First-Passage Times

Journal of the Royal Statistical Society Series B (Methodological) ◽

10.1111/j.2517-6161.1965.tb00611.x ◽

1965 ◽

Vol 27 (3) ◽

pp. 505-522 ◽

Author(s):

C. B. Mehr ◽

J. A. McFadden

Keyword(s):

Gaussian Processes ◽

First Passage Times ◽

First Passage ◽

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Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks

Physical Review Letters ◽

10.1103/physrevlett.123.248501 ◽

2019 ◽

Vol 123 (24) ◽

Author(s):

Jeffrey D. Hyman ◽

Marco Dentz ◽

Aric Hagberg ◽

Peter K. Kang

Keyword(s):

Three Dimensional ◽

First Passage Times ◽

Stable Laws ◽

Fracture Networks ◽

First Passage ◽

Random Fracture ◽

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Upcrossing First Passage Times for Correlated Gaussian Processes

Lecture Notes in Computer Science - Computer Aided Systems Theory – EUROCAST 2005 ◽

10.1007/11556985_58 ◽

2005 ◽

pp. 447-456 ◽

Author(s):

Virginia Giorno ◽

Amelia G. Nobile ◽

Enrica Pirozzi

Keyword(s):

Gaussian Processes ◽

First Passage Times ◽

First Passage ◽

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Improved Bounds on First-Passage Times for Scalar Gaussian Processes

Probabilistic Structural Mechanics: Advances in Structural Reliability Methods ◽

10.1007/978-3-642-85092-9_10 ◽

1994 ◽

pp. 163-174

Author(s):

S. Engelund ◽

R. Rackwitz ◽

C. Lange

Keyword(s):

Gaussian Processes ◽

First Passage Times ◽

First Passage ◽

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Multilevel Monte Carlo Predictions of First Passage Times in Three‐Dimensional Discrete Fracture Networks: A Graph‐Based Approach

Water Resources Research ◽

10.1029/2019wr026493 ◽

2020 ◽

Vol 56 (6) ◽

Author(s):

S. Berrone ◽

J. D. Hyman ◽

S. Pieraccini

Keyword(s):

Monte Carlo ◽

Three Dimensional ◽

First Passage Times ◽

Multilevel Monte Carlo ◽

Fracture Networks ◽

First Passage ◽

Discrete Fracture Networks ◽

Discrete Fracture ◽

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First passage times for Gaussian processes by Slepian models

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2020.103086 ◽

2020 ◽

Vol 61 ◽

pp. 103086

Author(s):

M. Grigoriu

Keyword(s):

Gaussian Processes ◽

First Passage Times ◽

First Passage ◽

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On First Passage Times and Differential Equations,

10.21236/ada174648 ◽

1986 ◽

Author(s):

Michael L. Wenocur

Keyword(s):

Differential Equations ◽

First Passage Times ◽

First Passage ◽

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Identifying Coefficients in the Spectral Representation for First Passage Times.

10.21236/ada172083 ◽

1986 ◽

Author(s):

Mark Brown ◽

Yi-Shi Shao

Keyword(s):

Spectral Representation ◽

First Passage Times ◽

First Passage ◽

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First passage times for some classes of fractional time-changed diffusions

Stochastic Analysis and Applications ◽

10.1080/07362994.2021.1953386 ◽

2021 ◽

pp. 1-29

Author(s):

Nikolai Leonenko ◽

Enrica Pirozzi

Keyword(s):

First Passage Times ◽

First Passage ◽

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