### 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 language | English |
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Title of host publication | Lectures on Probability Theory and Statistics |

Subtitle of host publication | Ecole d'Ete de Probabilites de Saint-Flour XXXIII - 2003 |

Publisher | Springer Verlag |

Pages | 105-274 |

Number of pages | 170 |

ISBN (Print) | 3540260692, 9783540260691 |

Publication status | Published - 2005 Jan 1 |

### Publication series

Name | Lecture Notes in Mathematics |
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Volume | 1869 |

ISSN (Print) | 0075-8434 |

### ASJC Scopus subject areas

- Algebra and Number Theory

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## 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*(pp. 105-274). (Lecture Notes in Mathematics; Vol. 1869). Springer Verlag.