Lectures on Probability Theory and Statistics [electronic resource] : Ecole d'EtȨ de ProbabilitȨs de Saint-Flour XXXIII - 2003 / edited by Jean Picard.
Tipo de material:
TextoSeries Lecture Notes in Mathematics, 1869Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Descripción: VIII, 286 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783540315377Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Differential equations, partial | Potential theory (Mathematics) | Distribution (Probability theory) | Statistics | Mathematics | Probability Theory and Stochastic Processes | Measure and Integration | Potential Theory | Statistics for Engineering, Physics, Computer Science, Chemistry & Geosciences | Partial Differential EquationsFormatos físicos adicionales: Sin títuloClasificación CDD: 519.2 Clasificación LoC:QA273.A1-274.9QA274-274.9Recursos en línea: de clik aquí para ver el libro electrónico Springer eBooksResumen: This volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembos course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multi-scale truncated second moment and the Ciesielski-Taylor identities are explored. Tadahisa Funakis course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the so-called \nabla \varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques.
This volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembos course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multi-scale truncated second moment and the Ciesielski-Taylor identities are explored. Tadahisa Funakis course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the so-called \nabla \varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques.
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