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.
This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. It presents new results on phase transitions for gradient lattice models.
Polymer chains that interact with themselves and/or with their environment are fascinating objects, displaying a range of interesting physical and chemical phenomena. The focus in this monograph is on the mathematical description of some of these phenomena, with particular emphasis on phase transitions as a function of interaction parameters, associated critical behavior and space-time scaling. Topics include: self-repellent polymers, self-attracting polymers, polymers interacting with interfaces, charged polymers, copolymers near linear or random selective interfaces, polymers interacting with random substrate and directed polymers in random environment. Different techniques are exposed, including the method of local times, large deviations, the lace expansion, generating functions, the method of excursions, ergodic theory, partial annealing estimates, coarse-graining techniques and martingales. Thus, this monograph offers a mathematical panorama of polymer chains, which even today holds plenty of challenges.
This monograph provides a concise presentation of a mathematical approach to metastability, a wide-spread phenomenon in the dynamics of non-linear systems - physical, chemical, biological or economic - subject to the action of temporal random forces typically referred to as noise, based on potential theory of reversible Markov processes. The authors shed new light on the metastability phenomenon as a sequence of visits of the path of the process to different metastable sets, and focuses on the precise analysis of the respective hitting probabilities and hitting times of these sets. The theory is illustrated with many examples, ranging from finite-state Markov chains, finite-dimensional diffusions and stochastic partial differential equations, via mean-field dynamics with and without disorder, to stochastic spin-flip and particle-hop dynamics and probabilistic cellular automata, unveiling the common universal features of these systems with respect to their metastable behaviour. The monograph will serve both as comprehensive introduction and as reference for graduate students and researchers interested in metastability.
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.
Polymer chains that interact with themselves and/or their environment display a range of physical and chemical phenomena. This text focuses on the mathematical description of some of these phenomena, offering a mathematical panorama of polymer chains.
This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. It presents new results on phase transitions for gradient lattice models.
First published in 1949, Frank Lawrence Owsley’s Plain Folk of the Old South refuted the popular myth that the antebellum South contained only three classes—planters, poor whites, and slaves. Owsley draws on a wide range of source materials—firsthand accounts such as diaries and the published observations of travelers and journalists; church records; and county records, including wills, deeds, tax lists, and grand-jury reports—to accurately reconstruct the prewar South’s large and significant “yeoman farmer” middle class. He follows the history of this group, beginning with their migration from the Atlantic states into the frontier South, charts their property holdings and economic standing, and tells of the rich texture of their lives: the singing schools and corn shuckings, their courtship rituals and revival meetings, barn raisings and logrollings, and contests of marksmanship and horsemanship such as “snuffing the candle,” “driving the nail,” and the “gander pull.” A new introduction by John B. Boles explains why this book remains the starting point today for the study of society in the Old South.
The Eye in History is a comprehensive manual describing the structure and function of the eye, ocular disorders and their treatment. Beginning with an introduction to anatomy and discussion on different disorders, the authors also review eye diseases of famous historical people and perception differences between men and women. The final sections discuss eye surgery and future technologies including the bionic eye, nanotechnology and gene therapy. Edited by Frank Joseph Goes of the Goes Eye Centre in Belgium, this multi-authored book has contributions from specialists throughout Europe, as well as the USA. 830 full colour images and illustrations assist comprehension. Key points Comprehensive guide to structure and function of the eye, ocular disorders and treatment Includes sections on eye diseases of famous historical people, the art of painting and perception Discusses future technologies including bionic eye, nanotechnology and gene therapy Edited by Frank Joseph Goes of Goes Eye Centre, Belgium, with contributions from authors across Europe and the USA Features 830 full colour images and illustrations
This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics within the field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topological K-theory of topological algebras, the K-theory of schemes, and the theory of dg-categories.
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