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Author: Vincenzo Capasso Publisher: Springer ISBN: 3540362592 Category : Mathematics Languages : en Pages : 256
Book Description
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.
Author: Vincenzo Capasso Publisher: Springer ISBN: 3540362592 Category : Mathematics Languages : en Pages : 256
Book Description
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.
Author: Davar Khoshnevisan Publisher: Springer Science & Business Media ISBN: 0387216316 Category : Mathematics Languages : en Pages : 590
Book Description
Self-contained presentation: from elementary material to state-of-the-art research; Much of the theory in book-form for the first time; Connections are made between probability and other areas of mathematics, engineering and mathematical physics
Author: A. T. Bharucha-Reid Publisher: Elsevier ISBN: 1483275469 Category : Mathematics Languages : en Pages : 271
Book Description
Probabilistic Analysis and Related Topics, Volume 3 focuses on the continuity, integrability, and differentiability of random functions, including operator theory, measure theory, and functional and numerical analysis. The selection first offers information on the qualitative theory of stochastic systems and Langevin equations with multiplicative noise. Discussions focus on phase-space evolution via direct integration, phase-space evolution, linear and nonlinear systems, linearization, and generalizations. The text then ponders on the stability theory of stochastic difference systems and Markov properties for random fields. Topics include Markov property of solutions of stochastic partial differential equations; Markov property for generalized Gaussian random fields; Markov properties for generalized random fields; stochastic stability of nonlinear systems; and linear stochastic systems. The publication examines the method of random contractors and its applications to random nonlinear equations, including integral contractors and applications to random equations; random contractors with random nonlinear majorant functions; and random contractors and application to random nonlinear operator equations. The selection is a valuable reference for mathematicians and researchers interested in the general theory of random functions.
Author: Madan Lal Puri Publisher: Walter de Gruyter ISBN: 3110917831 Category : Mathematics Languages : en Pages : 792
Book Description
Professor Puri is one of the most versatile and prolific researchers in the world in mathematical statistics. His research areas include nonparametric statistics, order statistics, limit theory under mixing, time series, splines, tests of normality, generalized inverses of matrices and related topics, stochastic processes, statistics of directional data, random sets, and fuzzy sets and fuzzy measures. His fundamental contributions in developing new rank-based methods and precise evaluation of the standard procedures, asymptotic expansions of distributions of rank statistics, as well as large deviation results concerning them, span such areas as analysis of variance, analysis of covariance, multivariate analysis, and time series, to mention a few. His in-depth analysis has resulted in pioneering research contributions to prominent journals that have substantial impact on current research.This book together with the other two volumes (Volume 1: Nonparametric Methods in Statistics and Related Topics; Volume 2: Probability Theory and Extreme Value Theory), are a concerted effort to make his research works easily available to the research community. The sheer volume of the research output by him and his collaborators, coupled with the broad spectrum of the subject matters investigated, and the great number of outlets where the papers were published, attach special significance in making these works easily accessible.The papers selected for inclusion in this work have been classified into three volumes each consisting of several parts. All three volumes carry a final part consisting of the contents of the other two, as well as the complete list of Professor Puri's publications.
Author: John Christopher Taylor Publisher: American Mathematical Soc. ISBN: 0821802755 Category : Mathematics Languages : en Pages : 214
Book Description
This volume is comprised of two parts: the first contains articles by S. N. Evans, F. Ledrappier, and Figa-Talomanaca. These articles arose from a Centre de Recherches de Mathematiques (CRM) seminar entitiled, ``Topics in Probability on Lie Groups: Boundary Theory''. Evans gives a synthesis of his pre-1992 work on Gaussian measures on vector spaces over a local field. Ledrappier uses the freegroup on $d$ generators as a paradigm for results on the asymptotic properties of random walks and harmonic measures on the Martin boundary. These articles are followed by a case study by Figa-Talamanca using Gelfand pairs to study a diffusion on a compact ultrametric space. The second part of the book is an appendix to the book Compactifications of Symmetric Spaces (Birkhauser) by Y. Guivarc'h and J. C. Taylor. This appendix consists of an article by each author and presents the contents of this book in a more algebraic way. L. Ji and J.-P. Anker simplifies some of their results on the asymptotics of the Green function that were used to compute Martin boundaries. And Taylor gives a self-contained account of Martin boundary theory for manifolds using the theory of second order strictly elliptic partial differential operators.
Author: Hayri Korezlioglu Publisher: Springer ISBN: 354039186X Category : Mathematics Languages : en Pages : 384
Book Description
The Silvri Workshop was divided into a short summer school and a working conference, producing lectures and research papers on recent developments in stochastic analysis on Wiener space. The topics treated in the lectures relate to the Malliavin calculus, the Skorohod integral and nonlinear functionals of white noise. Most of the research papers are applications of these subjects. This volume addresses researchers and graduate students in stochastic processes and theoretical physics.
Author: H. Körezlioglu Publisher: Springer Science & Business Media ISBN: 1461224500 Category : Mathematics Languages : en Pages : 294
Book Description
This volume contains the contributions of the participants to the Oslo Silivri Workshop on Stochastic Analysis, held in Silivri, from July 18 to July 29, at the Nazlm Terzioglu Graduate Research Center of Istanbul University. 1994, There were three lectures: " Mathematical Theory 0/ Communication Networks by V. Anantharam, " State-Space Models 0/ the Term Structure o/Interest Rates, by D. Duffie, " Theory 0/ Capacity on the Wiener Space, by F. Hirsch. The main lectures are presented at the beginning of the volume. The contributing papers cover different domains varying from random fields to dis tributions on infinite dimensional spaces. We would like to thank the following organizations for their financial sup port: " VISTA, a research cooperation between the Norwegian Academy of Scineces and Letters and Den Norske Stats Oljeselskap A.S. (Statsoil)." Ecole Nationale Superieure des Telecommunications de Paris. In the summer of 1994 we lost our dear friend and colleague ALBERT BADRIKIAN. We are dedicating this volume to his memory. H. Körezlioglu, B. 0ksendal, A.S. Üstünel MATHEMATICAL THEORY OF COMMUNICATION NETWORKS VENKAT ANANTHARAM * EECS DEPARTMENT UNIVERSITY OF CALIFORNIA BERKELEY, CA 94720 [email protected] Abstract We describe so me recent advances in the mathematical theory of com munication networks
Author: Roland Span Publisher: Springer Science & Business Media ISBN: 3662040921 Category : Science Languages : en Pages : 384
Book Description
As a basis for printed property charts and tables, empirical multiparameter equa tions of state have been the most important source of accurate thermodynamic property data for more than 30 years now. However, due to increasing demands on the accuracy of thermodynamic property data in computerised calculations as well as the availability of appropriate software tools, and the ever increasing computer power, such formulations are nowadays becoming a valuable tool for everyday work. This development has substantially increased the number of scientists, engi neers, and students who are working with empirical multiparameter equations of state, and it continues to do so. Nevertheless, common knowledge on this kind of thermodynamic property models and on the ongoing progress in this scientific discipline is still very limited. Multiparameter equations of state do not belong to the topics which are taught intensively in thermodynamic courses in engineering and natural sciences and the books and articles where they are published mainly deal with the thermodynamic properties of certain substances rather than with the theoretical background of the used equations of state. In contrast to this, my concern mainly was to give a survey of the theoretical background of multiparameter equations of state both with regard to their application and their development.
Author: Shijian Yan Publisher: American Mathematical Soc. ISBN: 0821851268 Category : Mathematics Languages : en Pages : 352
Book Description
Probability theory has always been an active field of research in China, but, until recently, almost all of this research was written in Chinese. This book contains surveys by some of China's leading probabilists, with a fairly complete coverage of theoretical probability and selective coverage of applied topics. The purpose of the book is to provide an account of the most significant results in probability obtained in China in the past few decades and to promote communication between probabilists in China and those in other countries. This collection will be of interest to graduate students and researchers in mathematics and probability theory, as well as to researchers in such areas as physics, engineering, biochemistry, and information science. Among the topics covered here are: stochastic analysis, stochastic differential equations, Dirichlet forms, Brownian motion and diffusion, potential theory, geometry of manifolds, semi-martingales, jump Markov processes, interacting particle systems, entropy production of Markov processes, renewal sequences and p-functions, multi-parameter stochastic processes, stationary random fields, limit theorems, strong approximations, large deviations, stochastic control systems, and probability problems in information theory.
Author: Vincenzo Capasso
Author: Vincenzo Capasso
Author: Davar Khoshnevisan
Author: Robert J. Adler
Author: A. T. Bharucha-Reid
Author: Madan Lal Puri
Author: John Christopher Taylor
Author: Hayri Korezlioglu
Author: H. Körezlioglu
Author: Roland Span
Author: Shijian Yan