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    Lectures on Probability Theory and Statistics

Lectures on Probability Theory and Statistics

Amir Dembo
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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.
      Format: Paperback / softback CONTRIBUTORS: Amir Dembo EAN: 9783540260691 COUNTRY: Germany PAGES: WEIGHT: 462 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG DATE PUBLISHED: 2005-11-03 CITY: GENRE: MATHEMATICS / Differential Equations / General, MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Vector Analysis, MATHEMATICS / Mathematical Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis, Differential calculus and equations, Integral calculus and equations, Probability and statistics, Stochastics

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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.
      Format: Paperback / softback CONTRIBUTORS: Amir Dembo EAN: 9783540260691 COUNTRY: Germany PAGES: WEIGHT: 462 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG DATE PUBLISHED: 2005-11-03 CITY: GENRE: MATHEMATICS / Differential Equations / General, MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Vector Analysis, MATHEMATICS / Mathematical Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis, Differential calculus and equations, Integral calculus and equations, Probability and statistics, Stochastics

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      Be the first to write a review
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