Stochastic interface models

Research output: Chapter in Book/Report/Conference proceedingChapter

45 Citations (Scopus)

Abstract

In these notes we try to review developments in the last decade of the theory on stochastic models for interfaces arising in two phase system, mostly on the so-called φ interface model. We are, in particular, interested in the scaling limits which pass from the microscopic models to macroscopic level. Such limit procedures are formulated as classical limit theorems in probability theory such as the law of large numbers, the central limit theorem and the large deviation principles.

Original languageEnglish
Title of host publicationLectures on Probability Theory and Statistics
Subtitle of host publicationEcole d'Ete de Probabilites de Saint-Flour XXXIII - 2003
PublisherSpringer Verlag
Pages105-274
Number of pages170
Volume1869
ISBN (Print)3540260692, 9783540260691
Publication statusPublished - 2005
Externally publishedYes

Publication series

NameLecture Notes in Mathematics
Volume1869
ISSN (Print)0075-8434

Fingerprint

Large Deviation Principle
Classical Limit
Law of large numbers
Scaling Limit
Probability Theory
Limit Theorems
Central limit theorem
Stochastic Model
Model
Review

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Funaki, T. (2005). Stochastic interface models. In Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXXIII - 2003 (Vol. 1869, pp. 105-274). (Lecture Notes in Mathematics; Vol. 1869). Springer Verlag.

Stochastic interface models. / Funaki, Tadahisa.

Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXXIII - 2003. Vol. 1869 Springer Verlag, 2005. p. 105-274 (Lecture Notes in Mathematics; Vol. 1869).

Research output: Chapter in Book/Report/Conference proceedingChapter

Funaki, T 2005, Stochastic interface models. in Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXXIII - 2003. vol. 1869, Lecture Notes in Mathematics, vol. 1869, Springer Verlag, pp. 105-274.
Funaki T. Stochastic interface models. In Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXXIII - 2003. Vol. 1869. Springer Verlag. 2005. p. 105-274. (Lecture Notes in Mathematics).
Funaki, Tadahisa. / Stochastic interface models. Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXXIII - 2003. Vol. 1869 Springer Verlag, 2005. pp. 105-274 (Lecture Notes in Mathematics).
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