Lectures on probability theory and statistics : Ecole d'Eté de Probabilités de Saint-Flour XXXIII-2003 / A. Dembo, T. Funaki ; editor, Jean Picard.

By: (33rd : Ecole d'été de probabilités de Saint-Flour (33rd : 2003 : St. Flour, France)
Contributor(s): Dembo, Amir | Funaki, Tadahisa | Picard, Jean
Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag): 1869.Publisher: Berlin : Springer, 2005Description: 1 online resource (viii, 281 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540315377; 3540315373; 3540260692; 9783540260691Other title: Ecole d'Eté de Probabilités de Saint-Flour XXXIII-2003Subject(s): Probabilities | Mathematical statistics | Probabilités | Statistique mathématique | Mathematical statistics | Probabilities | Waarschijnlijkheidstheorie | Statistiek | Théorie des probabilités | Statistique mathématique | Ensemble aléatoire | wiskunde | mathematics | theorie | theory | stochastische processen | stochastic processes | engineering | fysica | physics | partial differential equations | waarschijnlijkheidstheorie | probability theory | toegepaste statistiek | applied statistics | Mathematics (General) | Wiskunde (algemeen)Genre/Form: Electronic books. Additional physical formats: Print version:: Lectures on probability theory and statistics.DDC classification: 519.2 LOC classification: QA3 | .L28 no.1869ebOnline resources: Click here to access online Summary: 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 Dembo's 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 Funaki's 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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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 Dembo's 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 Funaki's 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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