Random Walks and Physical Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Walks and Physical Fields write by Yves Le Jan. This book was released on . Random Walks and Physical Fields available in PDF, EPUB and Kindle.
Elements of the Random Walk
Elements of the Random Walk - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elements of the Random Walk write by Joseph Rudnick. This book was released on 2004-03-04. Elements of the Random Walk available in PDF, EPUB and Kindle. Random walks have proven to be a useful model in understanding processes across a wide spectrum of scientific disciplines. Elements of the Random Walk is an introduction to some of the most powerful and general techniques used in the application of these ideas. The mathematical construct that runs through the analysis of the topics covered in this book, unifying the mathematical treatment, is the generating function. Although the reader is introduced to analytical tools, such as path-integrals and field-theoretical formalism, the book is self-contained in that basic concepts are developed and relevant fundamental findings fully discussed. Mathematical background is provided in supplements at the end of each chapter, when appropriate. This text will appeal to graduate students across science, engineering and mathematics who need to understand the applications of random walk techniques, as well as to established researchers.
Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory
Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory write by Roberto Fernandez. This book was released on 2013-03-14. Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory available in PDF, EPUB and Kindle. Simple random walks - or equivalently, sums of independent random vari ables - have long been a standard topic of probability theory and mathemat ical physics. In the 1950s, non-Markovian random-walk models, such as the self-avoiding walk,were introduced into theoretical polymer physics, and gradu ally came to serve as a paradigm for the general theory of critical phenomena. In the past decade, random-walk expansions have evolved into an important tool for the rigorous analysis of critical phenomena in classical spin systems and of the continuum limit in quantum field theory. Among the results obtained by random-walk methods are the proof of triviality of the cp4 quantum field theo ryin space-time dimension d (::::) 4, and the proof of mean-field critical behavior for cp4 and Ising models in space dimension d (::::) 4. The principal goal of the present monograph is to present a detailed review of these developments. It is supplemented by a brief excursion to the theory of random surfaces and various applications thereof. This book has grown out of research carried out by the authors mainly from 1982 until the middle of 1985. Our original intention was to write a research paper. However, the writing of such a paper turned out to be a very slow process, partly because of our geographical separation, partly because each of us was involved in other projects that may have appeared more urgent.
From Random Walks to Random Matrices
From Random Walks to Random Matrices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook From Random Walks to Random Matrices write by Jean Zinn-Justin. This book was released on 2019-06-27. From Random Walks to Random Matrices available in PDF, EPUB and Kindle. Theoretical physics is a cornerstone of modern physics and provides a foundation for all modern quantitative science. It aims to describe all natural phenomena using mathematical theories and models, and in consequence develops our understanding of the fundamental nature of the universe. This books offers an overview of major areas covering the recent developments in modern theoretical physics. Each chapter introduces a new key topic and develops the discussion in a self-contained manner. At the same time the selected topics have common themes running throughout the book, which connect the independent discussions. The main themes are renormalization group, fixed points, universality, and continuum limit, which open and conclude the work. The development of modern theoretical physics has required important concepts and novel mathematical tools, examples discussed in the book include path and field integrals, the notion of effective quantum or statistical field theories, gauge theories, and the mathematical structure at the basis of the interactions in fundamental particle physics, including quantization problems and anomalies, stochastic dynamical equations, and summation of perturbative series.
First Steps in Random Walks
First Steps in Random Walks - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook First Steps in Random Walks write by J. Klafter. This book was released on 2011-08-18. First Steps in Random Walks available in PDF, EPUB and Kindle. Random walks proved to be a useful model of many complex transport processes at the micro and macroscopical level in physics and chemistry, economics, biology and other disciplines. The book discusses the main variants of random walks and gives the most important mathematical tools for their theoretical description.
