Author : L. S. Schulman
Publisher : Courier Corporation
Page : 434 pages
File Size : 50,78 MB
Release : 2012-10-10
Category : Science
ISBN : 0486137023
Suitable for advanced undergraduates and graduate students, this text develops the techniques of path integration and deals with applications, covering a host of illustrative examples. 26 figures. 1981 edition.
Author : Leo Lucassen
Publisher : Amsterdam University Press
Page : 344 pages
File Size : 46,75 MB
Release : 2006
Category : History
ISBN : 9053568832
Why do some migrants integrate quickly, while others become long-term minorities? What is the role of the state in the settlement process? To what extent are experiences in the past different from the present? Are the recent migrants really integrating in another way than those in the past? Is Islam indeed an obstacle to integration? These are some of the burning questions, which dominate the current politicized debate on immigration in Western Europe. In this book, leading historians and social scientists analyze and compare a variety of settlement processes in past and present migration to Western Europe. Identifying general factors in the process of adaptation of new immigrants, the contributors trace social changes effected by recent European immigration, and the parallels with the great American migration of the 1880s-1920s. The history of migration to Western Europe and the way these migrants found their place in the receiving societies, is not only essential to understand the way nations deal with newcomers in the present, but also constitutes a highly interesting laboratory for different paths of integration now and then. By analyzing and comparing a wealth of settlement processes both in the past and in the present this book is both a bold interdisciplinary endeavor, and at the same time the first attempt to identify general factors underlying the way migrants adapt to their new surroundings, as well as how societies change under the influence of immigration. The chapters in the book both look at specific groups in various periods, but also analyses the structure of the state, churches unions and other important organized actors in Western European nation states. Moreover, the results are embedded in the more theoretical American literature on the comparison of old and new migrants. All chapters have an explicit comparative perspective, either by comparing different groups or different periods, whereas the general conclusion ties together the various outcomes in a systematic way, highlighting the main answers to the central questions about the various outcomes of settlement processes. --Publisher.
Author : Horacio S. Wio
Publisher : World Scientific
Page : 174 pages
File Size : 20,51 MB
Release : 2013
Category : Mathematics
ISBN : 9814449040
This book provides an introductory albeit solid presentation of path integration techniques as applied to the field of stochastic processes. The subject began with the work of Wiener during the 1920''s, corresponding to a sum over random trajectories, anticipating by two decades Feynman''s famous work on the path integral representation of quantum mechanics. However, the true trigger for the application of these techniques within nonequilibrium statistical mechanics and stochastic processes was the work of Onsager and Machlup in the early 1950''s. The last quarter of the 20th century has witnessed a growing interest in this technique and its application in several branches of research, even outside physics (for instance, in economy).The aim of this book is to offer a brief but complete presentation of the path integral approach to stochastic processes. It could be used as an advanced textbook for graduate students and even ambitious undergraduates in physics. It describes how to apply these techniques for both Markov and non-Markov processes. The path expansion (or semiclassical approximation) is discussed and adapted to the stochastic context. Also, some examples of nonlinear transformations and some applications are discussed, as well as examples of rather unusual applications. An extensive bibliography is included. The book is detailed enough to capture the interest of the curious reader, and complete enough to provide a solid background to explore the research literature and start exploiting the learned material in real situations.
Author : F. Papi
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 29,8 MB
Release : 2012-12-06
Category : Science
ISBN : 3642686168
Right from the start of this century, field observations and the patient ringing of birds have made available a growing mass of data on the breeding and resting areas of migratory species and on the course, period and duration of their seasonal flights. Considered as a whole, this work on migration morphology commands admiration, and when view ed in detail it reveals fascinating insights into the extraordinary naviga tional performances of many bird species, which find their way over enormous distances. Yet only a few dozen physiologists are actively trying to answer the question of how these performances are achieved. Experimental work on migratory birds raises many difficulties, some of them insuperable, so that many researchers carry out their experiments on the homing pigeon, which is constantly motivated by homesickness and ready to display its ability to flyaway home. Many of the problems connected with bird navigation are still un solved, but a rapidly growing body of results is being produced along with a variety of new ideas and approaches. A clear majority of the stu dents of bird navigation met in September 1981 in Tirrenia, a seaside resort on the Tyrrhenian coast, where each of them offered new in sights into his or her recent investigations. Their contributions have been connected in this volume, which provides an up-to-date conspec tus of the stage reached by research in this field.
Author : Hagen Kleinert
Publisher : World Scientific
Page : 1626 pages
File Size : 43,36 MB
Release : 2009
Category : Business & Economics
ISBN : 9814273570
Topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions." --Book Jacket.
Author : Peter K. Friz
Publisher : Springer Nature
Page : 346 pages
File Size : 27,44 MB
Release : 2020-05-27
Category : Mathematics
ISBN : 3030415562
With many updates and additional exercises, the second edition of this book continues to provide readers with a gentle introduction to rough path analysis and regularity structures, theories that have yielded many new insights into the analysis of stochastic differential equations, and, most recently, stochastic partial differential equations. Rough path analysis provides the means for constructing a pathwise solution theory for stochastic differential equations which, in many respects, behaves like the theory of deterministic differential equations and permits a clean break between analytical and probabilistic arguments. Together with the theory of regularity structures, it forms a robust toolbox, allowing the recovery of many classical results without having to rely on specific probabilistic properties such as adaptedness or the martingale property. Essentially self-contained, this textbook puts the emphasis on ideas and short arguments, rather than aiming for the strongest possible statements. A typical reader will have been exposed to upper undergraduate analysis and probability courses, with little more than Itô-integration against Brownian motion required for most of the text. From the reviews of the first edition: "Can easily be used as a support for a graduate course ... Presents in an accessible way the unique point of view of two experts who themselves have largely contributed to the theory" - Fabrice Baudouin in the Mathematical Reviews "It is easy to base a graduate course on rough paths on this ... A researcher who carefully works her way through all of the exercises will have a very good impression of the current state of the art" - Nicolas Perkowski in Zentralblatt MATH
Author : John R. Klauder
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 27,4 MB
Release : 2010-11-08
Category : Mathematics
ISBN : 0817647910
This text takes advantage of recent developments in the theory of path integration and attempts to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration.
Author : Peter K. Friz
Publisher : Cambridge University Press
Page : 670 pages
File Size : 33,69 MB
Release : 2010-02-04
Category : Mathematics
ISBN : 9780521876070
Rough path analysis provides a fresh perspective on Ito's important theory of stochastic differential equations. Key theorems of modern stochastic analysis (existence and limit theorems for stochastic flows, Freidlin-Wentzell theory, the Stroock-Varadhan support description) can be obtained with dramatic simplifications. Classical approximation results and their limitations (Wong-Zakai, McShane's counterexample) receive 'obvious' rough path explanations. Evidence is building that rough paths will play an important role in the future analysis of stochastic partial differential equations and the authors include some first results in this direction. They also emphasize interactions with other parts of mathematics, including Caratheodory geometry, Dirichlet forms and Malliavin calculus. Based on successful courses at the graduate level, this up-to-date introduction presents the theory of rough paths and its applications to stochastic analysis. Examples, explanations and exercises make the book accessible to graduate students and researchers from a variety of fields.
Author : Barry Simon
Publisher : American Mathematical Soc.
Page : 322 pages
File Size : 23,83 MB
Release : 2005
Category : Mathematics
ISBN : 0821835823
Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula.
Author : José Briceño-Ruiz
Publisher : Lexington Books
Page : 199 pages
File Size : 39,53 MB
Release : 2017-08-28
Category : History
ISBN : 1498538460
Brazil and Latin America: Between the Separation and Integration Paths challenges the “separatist” bias in the vision of Brazilian relations with its Latin American neighbors. By exploring the parallel existence of a path of integration, the focus of this study is on those forces which have intended to forge different forms of alignment, integration, and, sometimes, rightward union between Brazil and different Latin American countries. The authors analyze the ideas and projects inherent in the mindset of elites even before independence. They show that the path of integration has been more influential than is generally known. Ultimately, this book demonstrates the complexity around policy-making, debates on foreign policy, and the history of shaping the Brazilian self.
