Renormalization methods : critical phenomena, chaos, fractal structures

Bibliographic Information

Renormalization methods : critical phenomena, chaos, fractal structures

Annick Lesne ; translated by Leila Schneps

J. Wiley, 1998

Other Title

Méthodes de renormalisation : phénoménes, chaos, structures fractales

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Note

Includes bibliographical references (p. [329]-349) and index

Description and Table of Contents

Description

Originally conceived some thirty years ago in the context ofquantum electrodynamics, renormalization methods have progressivelydeveloped into an indispensable analytical tool used in widelyvarying domains of physics and applied mathematics, such as * phase transitions and critical phenomena * dynamical systems and chaos * developed turbulence * fractal structures and complex systems * percolation * polymer physics * diffusion in disordered media * measure theory and stochastic processes. By explaining the fundamental principles of renormalization theorysuch as scale invariance and universality which lie behind all thetechnical variations, this book aims to guide the reader to a moreunified understanding of today s physics. The book is based on avery accessible main text, supplemented by several more specializedsections; it is intended for graduate students and for researcherswho are seeking an introduction to a new area of electrodynamics ora general overview of the physical phenomena to whichrenormalization methods are applied.

Table of Contents

Principles and Physical Framework. A Comparative Study of Two Typical Examples. Mathematical Aspects. Statistical Mechanics. Dynamical Systems and Chaos. Stochastic Diffusion. Fractal Structures. Appendices. Bibliography. Index.

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