Large Deviations At Saint Flour


Large Deviations At Saint Flour
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Large Deviations At Saint Flour


Large Deviations At Saint Flour
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Author : Robert Azencott
language : en
Publisher: Springer
Release Date : 2011-12-30

Large Deviations At Saint Flour written by Robert Azencott and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-30 with Mathematics categories.


Contents: Azencott, R. : Large deviations and applications.- Freidlin, Mark I. Semi-linear PDE's and limit theorems for large deviations- Varadhan, Srinivasa R.S.: Large deviations and applications.



An Introduction To The Theory Of Large Deviations


An Introduction To The Theory Of Large Deviations
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Author : D.W. Stroock
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

An Introduction To The Theory Of Large Deviations written by D.W. Stroock and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


These notes are based on a course which I gave during the academic year 1983-84 at the University of Colorado. My intention was to provide both my audience as well as myself with an introduction to the theory of 1arie deviations • The organization of sections 1) through 3) owes something to chance and a great deal to the excellent set of notes written by R. Azencott for the course which he gave in 1978 at Saint-Flour (cf. Springer Lecture Notes in Mathematics 774). To be more precise: it is chance that I was around N. Y. U. at the time'when M. Schilder wrote his thesis. and so it may be considered chance that I chose to use his result as a jumping off point; with only minor variations. everything else in these sections is taken from Azencott. In particular. section 3) is little more than a rewrite of his exoposition of the Cramer theory via the ideas of Bahadur and Zabel. Furthermore. the brief treatment which I have given to the Ventsel-Freidlin theory in section 4) is again based on Azencott's ideas. All in all. the biggest difference between his and my exposition of these topics is the language in which we have written. However. another major difference must be mentioned: his bibliography is extensive and constitutes a fine introduction to the available literature. mine shares neither of these attributes. Starting with section 5).



Large Deviations For Random Graphs


Large Deviations For Random Graphs
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Author : Sourav Chatterjee
language : en
Publisher: Springer
Release Date : 2017-08-31

Large Deviations For Random Graphs written by Sourav Chatterjee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-31 with Mathematics categories.


This book addresses the emerging body of literature on the study of rare events in random graphs and networks. For example, what does a random graph look like if by chance it has far more triangles than expected? Until recently, probability theory offered no tools to help answer such questions. Important advances have been made in the last few years, employing tools from the newly developed theory of graph limits. This work represents the first book-length treatment of this area, while also exploring the related area of exponential random graphs. All required results from analysis, combinatorics, graph theory and classical large deviations theory are developed from scratch, making the text self-contained and doing away with the need to look up external references. Further, the book is written in a format and style that are accessible for beginning graduate students in mathematics and statistics.



An Introduction To Markov Processes


An Introduction To Markov Processes
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Author : Daniel W. Stroock
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-03-30

An Introduction To Markov Processes written by Daniel W. Stroock and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-30 with Mathematics categories.


Provides a more accessible introduction than other books on Markov processes by emphasizing the structure of the subject and avoiding sophisticated measure theory Leads the reader to a rigorous understanding of basic theory



Large Deviations


Large Deviations
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Author : Jean-Dominique Deuschel and Daniel W. Stroock
language : en
Publisher: American Mathematical Soc.
Release Date :

Large Deviations written by Jean-Dominique Deuschel and Daniel W. Stroock 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 with Large deviations categories.


This is the second printing of the book first published in 1988. The first four chapters of the volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).



Large Deviations


Large Deviations
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Author : Jean-Dominique Deuschel
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Large Deviations written by Jean-Dominique Deuschel 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 2001 with Large deviations categories.


This is the second printing of the book first published in 1988. The first four chapters of the volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).



Large Deviations


Large Deviations
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Author : Frank Hollander
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Large Deviations written by Frank Hollander 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 2000 with Mathematics categories.


Offers an introduction to large deviations. This book is divided into two parts: theory and applications. It presents basic large deviation theorems for i i d sequences, Markov sequences, and sequences with moderate dependence. It also includes an outline of general definitions and theorems.



Ecole D Ete De Probabilites De Saint Flour Xv Xvii 1985 87


Ecole D Ete De Probabilites De Saint Flour Xv Xvii 1985 87
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Author : Persi Diaconis
language : en
Publisher: Springer
Release Date : 2006-11-14

Ecole D Ete De Probabilites De Saint Flour Xv Xvii 1985 87 written by Persi Diaconis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.


This volume contains detailed, worked-out notes of six main courses given at the Saint-Flour Summer Schools from 1985 to 1987.



Stochastic Processes In Epidemic Theory


Stochastic Processes In Epidemic Theory
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Author : Jean-Pierre Gabriel
language : en
Publisher: Springer
Release Date : 2014-03-11

Stochastic Processes In Epidemic Theory written by Jean-Pierre Gabriel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-11 with Mathematics categories.


This collection of papers gives a representative cross-selectional view of recent developments in the field. After a survey paper by C. Lefèvre, 17 other research papers look at stochastic modeling of epidemics, both from a theoretical and a statistical point of view. Some look more specifically at a particular disease such as AIDS, malaria, schistosomiasis and diabetes.



Particle Systems Random Media And Large Deviations


Particle Systems Random Media And Large Deviations
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Author : Richard Durrett
language : en
Publisher: American Mathematical Soc.
Release Date : 1985

Particle Systems Random Media And Large Deviations written by Richard Durrett 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 1985 with Mathematics categories.


This volume covers the proceedings of the 1984 AMS Summer Research Conference. 'The Mathematics of Phase Transitions' provides a handy summary of results from some of the most exciting areas in probability theory today; interacting particle systems, percolation, random media (bulk properties and hydrodynamics), the Ising model and large deviations. Thirty-seven mathematicians, many of them well-known probabilists, collaborated to produce this readable introduction to the main results and unsolved problems in the field. In fact, it is one of the very few collections of articles yet to be published on these topics. To appreciate many of the articles, an undergraduate course in probability is sufficient. The book will be valuable to probabilists, especially those interested in mathematical physics and to physicists interested in statistical mechanics or disordered systems.