A two cities theorem for the parabolic Anderson model

W Konig; H Lacoin; Peter Morters; N Sidorova

doi:10.1214/08-aop405

A two cities theorem for the parabolic Anderson model

W Konig, H Lacoin, Peter Morters, N Sidorova

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

33 Citations (SciVal)

Original language	English
Pages (from-to)	347-392
Number of pages	46
Journal	Annals of Probability
Volume	37
Issue number	1
DOIs	https://doi.org/10.1214/08-aop405
Publication status	Published - Jan 2009

Keywords

Pareto distribution
intermittency
polynomial tail
heavy tail
localization
random potential
Feynman-Kac formula
pinning effect
Anderson Hamiltonian
Parabolic Anderson problem

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10.1214/08-aop405

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@article{6293cc2b4900474188dd12580f86e2bb,

title = "A two cities theorem for the parabolic Anderson model",

keywords = "Pareto distribution, intermittency, polynomial tail, heavy tail, localization, random potential, Feynman-Kac formula, pinning effect, Anderson Hamiltonian, Parabolic Anderson problem",

author = "W Konig and H Lacoin and Peter Morters and N Sidorova",

year = "2009",

month = jan,

doi = "10.1214/08-aop405",

language = "English",

volume = "37",

pages = "347--392",

journal = "Annals of Probability",

issn = "0091-1798",

publisher = "Institute of Mathematical Statistics",

number = "1",

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TY - JOUR

T1 - A two cities theorem for the parabolic Anderson model

AU - Konig, W

AU - Lacoin, H

AU - Morters, Peter

AU - Sidorova, N

PY - 2009/1

Y1 - 2009/1

KW - Pareto distribution

KW - intermittency

KW - polynomial tail

KW - heavy tail

KW - localization

KW - random potential

KW - Feynman-Kac formula

KW - pinning effect

KW - Anderson Hamiltonian

KW - Parabolic Anderson problem

UR - http://www.scopus.com/inward/record.url?scp=63049087609&partnerID=8YFLogxK

UR - http://projecteuclid.org/euclid.aop/1234881693

UR - http://dx.doi.org/10.1214/08-AOP405

U2 - 10.1214/08-aop405

DO - 10.1214/08-aop405

M3 - Article

SN - 0091-1798

VL - 37

SP - 347

EP - 392

JO - Annals of Probability

JF - Annals of Probability

IS - 1

ER -

A two cities theorem for the parabolic Anderson model

Keywords

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INTERSECTION LOCAL TIMES AND STOCHASTIC PROCESSES IN RANDOM MEDIA

STOCHASTIC PROCESSES IN RANDOM MEDIA: AN APPROACH USING INT ERSECTION LOCAL TIMES

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A two cities theorem for the parabolic Anderson model

Keywords

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INTERSECTION LOCAL TIMES AND STOCHASTIC PROCESSES IN RANDOM MEDIA

STOCHASTIC PROCESSES IN RANDOM MEDIA: AN APPROACH USING INT ERSECTION LOCAL TIMES

Cite this