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Topics in Spatial Stochastic Processes
  • Language: en
  • Pages: 256

Topics in Spatial Stochastic Processes

  • Type: Book
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  • Published: 2003-01-01
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  • Publisher: Springer

The theory of stochastic processes indexed by a partially ordered set has been the subject of much research over the past twenty years. The objective of this CIME International Summer School was to bring to a large audience of young probabilists the general theory of spatial processes, including the theory of set-indexed martingales and to present the different branches of applications of this theory, including stochastic geometry, spatial statistics, empirical processes, spatial estimators and survival analysis. This theory has a broad variety of applications in environmental sciences, social sciences, structure of material and image analysis. In this volume, the reader will find different approaches which foster the development of tools to modelling the spatial aspects of stochastic problems.

A Minicourse on Stochastic Partial Differential Equations
  • Language: en
  • Pages: 230

A Minicourse on Stochastic Partial Differential Equations

This title contains lectures that offer an introduction to modern topics in stochastic partial differential equations and bring together experts whose research is centered on the interface between Gaussian analysis, stochastic analysis, and stochastic PDEs.

Seminar on Stochastic Analysis, Random Fields and Applications IV
  • Language: en
  • Pages: 329

Seminar on Stochastic Analysis, Random Fields and Applications IV

  • Type: Book
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  • Published: 2012-12-06
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  • Publisher: Birkhäuser

This volume contains twenty refereed papers presented at the 4th Seminar on Stochastic Processes, Random Fields and Applications, which took place in Ascona, Switzerland, from May 2002. The seminar focused mainly on stochastic partial differential equations, stochastic models in mathematical physics, and financial engineering. The book will be a valuable resource for researchers in stochastic analysis and professionals interested in stochastic methods in finance and insurance.

Seminar on Stochastic Analysis, Random Fields and Applications V
  • Language: en
  • Pages: 518

Seminar on Stochastic Analysis, Random Fields and Applications V

This volume contains refereed research or review papers presented at the 5th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, from May 29 to June 3, 2004. The seminar focused mainly on stochastic partial differential equations, stochastic models in mathematical physics, and financial engineering.

Seminar on Stochastic Analysis, Random Fields and Applications VI
  • Language: en
  • Pages: 487

Seminar on Stochastic Analysis, Random Fields and Applications VI

This volume contains refereed research or review papers presented at the 6th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, in May 2008. The seminar focused mainly on stochastic partial differential equations, especially large deviations and control problems, on infinite dimensional analysis, particle systems and financial engineering, especially energy markets and climate models. The book will be a valuable resource for researchers in stochastic analysis and professionals interested in stochastic methods in finance.

Seminar on Stochastic Analysis, Random Fields and Applications
  • Language: en
  • Pages: 300

Seminar on Stochastic Analysis, Random Fields and Applications

  • Type: Book
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  • Published: 2012-12-06
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  • Publisher: Birkhäuser

A collection of 20 refereed research or review papers presented at a six-day seminar in Switzerland. The contributions focus on stochastic analysis, its applications to the engineering sciences, and stochastic methods in financial models, which was the subject of a minisymposium.

Malliavin Calculus
  • Language: en
  • Pages: 184

Malliavin Calculus

  • Type: Book
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  • Published: 2005-01-01
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  • Publisher: EPFL Press

Developed in the 1970s to study the existence and smoothness of density for the probability laws of random vectors, Malliavin calculus--a stochastic calculus of variation on the Wiener space--has proven fruitful in many problems in probability theory, particularly in probabilistic numerical methods in financial mathematics. This book presents applications of Malliavin calculus to the analysis of probability laws of solutions to stochastic partial differential equations driven by Gaussian noises that are white in time and coloured in space. The first five chapters introduce the calculus itself b.

Stochastic Partial Differential Equations and Related Fields
  • Language: en
  • Pages: 565

Stochastic Partial Differential Equations and Related Fields

  • Type: Book
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  • Published: 2018-07-03
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  • Publisher: Springer

This Festschrift contains five research surveys and thirty-four shorter contributions by participants of the conference ''Stochastic Partial Differential Equations and Related Fields'' hosted by the Faculty of Mathematics at Bielefeld University, October 10–14, 2016. The conference, attended by more than 140 participants, including PostDocs and PhD students, was held both to honor Michael Röckner's contributions to the field on the occasion of his 60th birthday and to bring together leading scientists and young researchers to present the current state of the art and promising future developments. Each article introduces a well-described field related to Stochastic Partial Differential Equ...

Limits of Graphs in Group Theory and Computer Science
  • Language: en
  • Pages: 312

Limits of Graphs in Group Theory and Computer Science

  • Type: Book
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  • Published: 2009-03-16
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  • Publisher: EPFL Press

A collection of research articles and survey papers, this text highlights current methods and open problems in the geometric, combinatorial, and computational aspects of group theory. New interactions with broad areas of theoretical computer science are also considered. Pub 3/09.

Analysis of Variations for Self-similar Processes
  • Language: en
  • Pages: 272

Analysis of Variations for Self-similar Processes

Self-similar processes are stochastic processes that are invariant in distribution under suitable time scaling, and are a subject intensively studied in the last few decades. This book presents the basic properties of these processes and focuses on the study of their variation using stochastic analysis. While self-similar processes, and especially fractional Brownian motion, have been discussed in several books, some new classes have recently emerged in the scientific literature. Some of them are extensions of fractional Brownian motion (bifractional Brownian motion, subtractional Brownian motion, Hermite processes), while others are solutions to the partial differential equations driven by fractional noises. In this monograph the author discusses the basic properties of these new classes of self-similar processes and their interrelationship. At the same time a new approach (based on stochastic calculus, especially Malliavin calculus) to studying the behavior of the variations of self-similar processes has been developed over the last decade. This work surveys these recent techniques and findings on limit theorems and Malliavin calculus.