Probability Theory And Its Applications In China
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Probability Theory And Its Applications In China
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Author : Shijian Yan
language : en
Publisher: American Mathematical Soc.
Release Date : 1991
Probability Theory And Its Applications In China written by Shijian Yan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
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.
Asian Mathematical Conference 1990 Proceedings Of The Conference
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Author : Zhong Li
language : en
Publisher: #N/A
Release Date : 1992-03-31
Asian Mathematical Conference 1990 Proceedings Of The Conference written by Zhong Li and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-31 with categories.
From Markov Chains To Non Equilibrium Particle Systems
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Author : Mufa Chen
language : en
Publisher: World Scientific
Release Date : 2004
From Markov Chains To Non Equilibrium Particle Systems written by Mufa Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This book is representative of the work of Chinese probabilists on probability theory and its applications in physics. It presents a unique treatment of general Markov jump processes: uniqueness, various types of ergodicity, Markovian couplings, reversibility, spectral gap, etc. It also deals with a typical class of non-equilibrium particle systems, including the typical Schlögl model taken from statistical physics. The constructions, ergodicity and phase transitions for this class of Markov interacting particle systems, namely, reaction-diffusion processes, are presented. In this new edition, a large part of the text has been updated and two-and-a-half chapters have been rewritten. The book is self-contained and can be used in a course on stochastic processes for graduate students.
Algebraic Topology Oaxtepec 1991
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Author : Martin C. Tangora
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
Algebraic Topology Oaxtepec 1991 written by Martin C. Tangora and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
This book consists of twenty-nine articles contributed by participants of the International Conference in Algebraic Topology held in July 1991 in Mexico. In addition to papers on current research, there are several surveys and expositions on the work of Mark Mahowald, whose sixtieth birthday was celebrated during the conference. The conference was truly international, with over 130 mathematicians from fifteen countries. It ended with a spectacular total eclipse of the sun, a photograph of which appears as the frontispiece. The papers range over much of algebraic topology and cross over into related areas, such as K theory, representation theory, and Lie groups. Also included is a chart of the Adams spectral sequence and a bibliography of Mahowald's publications.
Nine Chapters On Mathematical Modernity
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Author : Andrea Bréard
language : en
Publisher: Springer
Release Date : 2019-06-25
Nine Chapters On Mathematical Modernity written by Andrea Bréard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-25 with Mathematics categories.
The book addresses for the first time the dynamics associated with the modernization of mathematics in China from the nineteenth to the mid-twentieth century from a transcultural global historical perspective. Rather than depict the transformations of mathematical knowledge in terms of a process of westernization, the book analyzes the complex interactions between different scientific communities and the ways in which the past, modernity, language, and mathematics were negotiated in a global context. In each chapter, Andrea Bréard provides vivid portraits of a series of go-betweens (such as translators, educators, or state statisticians) based on a vast array of translated primary sources hitherto unavailable to a non-Chinese readership. They not only illustrate how Chinese scholars mediated between new mathematical objects and discursive modes, but also how they instrumentalized their autochthonous scientific roots in specific political and intellectual contexts. While sometimes technical in style, the book addresses all readers who are interested in the global and cultural history of science and the complexities involved in the making of universal mathematics. “While the pursuit of modernity is in the title, entanglement is of as much interest. Using the famous ‘Nine Chapters’ as a framework, Bréard considers a wide range of that entanglement from divination to data management. Bréard’s analysis and thought-provoking insights show once again how much we can learn when two cultures intersect. A fascinating read!” (John Day, Boston University).
Stationary Stochastic Models An Introduction
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Author : Riccardo Gatto
language : en
Publisher: World Scientific
Release Date : 2022-06-23
Stationary Stochastic Models An Introduction written by Riccardo Gatto and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-23 with Mathematics categories.
This volume provides a unified mathematical introduction to stationary time series models and to continuous time stationary stochastic processes. The analysis of these stationary models is carried out in time domain and in frequency domain. It begins with a practical discussion on stationarity, by which practical methods for obtaining stationary data are described. The presented topics are illustrated by numerous examples. Readers will find the following covered in a comprehensive manner:At the end, some selected topics such as stationary random fields, simulation of Gaussian stationary processes, time series for planar directions, large deviations approximations and results of information theory are presented. A detailed appendix containing complementary materials will assist the reader with many technical aspects of the book.
Translations On Communist China
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Author : United States. Joint Publications Research Service
language : en
Publisher:
Release Date : 1964
Translations On Communist China written by United States. Joint Publications Research Service and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Science categories.
Chaotic Numerics
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Author : Peter E. Kloeden
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Chaotic Numerics written by Peter E. Kloeden and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Much of what is known about specific dynamical systems is obtained from numerical experiments. Although the discretization process usually has no significant effect on the results for simple, well-behaved dynamics, acute sensitivity to changes in initial conditions is a hallmark of chaotic behavior. How confident can one be that the numerical dynamics reflects that of the original system? Do numerically calculated trajectories always shadow a true one? What role does numerical analysis play in the study of dynamical systems? And conversely, can advances in dynamical systems provide new insights into numerical algorithms? These and related issues were the focus of the workshop on Chaotic Numerics, held at Deakin University in Geelong, Australia, in July 1993. The contributions to this book are based on lectures presented during the workshop and provide a broad overview of this area of research.
Distribution Dependent Stochastic Differential Equations
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Author : Feng-yu Wang
language : en
Publisher: World Scientific
Release Date : 2024-09-26
Distribution Dependent Stochastic Differential Equations written by Feng-yu Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-26 with Mathematics categories.
Corresponding to the link of Itô's stochastic differential equations (SDEs) and linear parabolic equations, distribution dependent SDEs (DDSDEs) characterize nonlinear Fokker-Planck equations. This type of SDEs is named after McKean-Vlasov due to the pioneering work of H P McKean (1966), where an expectation dependent SDE is proposed to characterize nonlinear PDEs for Maxwellian gas. Moreover, by using the propagation of chaos for Kac particle systems, weak solutions of DDSDEs are constructed as weak limits of mean field particle systems when the number of particles goes to infinity, so that DDSDEs are also called mean-field SDEs. To restrict a DDSDE in a domain, we consider the reflection boundary by following the line of A V Skorohod (1961).This book provides a self-contained account on singular SDEs and DDSDEs with or without reflection. It covers well-posedness and regularities for singular stochastic differential equations; well-posedness for singular reflected SDEs; well-posedness of singular DDSDEs; Harnack inequalities and derivative formulas for singular DDSDEs; long time behaviors for DDSDEs; DDSDEs with reflecting boundary; and killed DDSDEs.
Communist Chinese Scientific Abstracts
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Author : United States. Joint Publications Research Service
language : en
Publisher:
Release Date : 1965
Communist Chinese Scientific Abstracts written by United States. Joint Publications Research Service and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.