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.
|ホスト出版物のタイトル||Lectures on Probability Theory and Statistics|
|ホスト出版物のサブタイトル||Ecole d'Ete de Probabilites de Saint-Flour XXXIII - 2003|
|出版ステータス||Published - 2005|
|名前||Lecture Notes in Mathematics|
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