Renormalization methods : critical phenomena, chaos, fractal structures
著者
書誌事項
Renormalization methods : critical phenomena, chaos, fractal structures
J. Wiley, 1998
- タイトル別名
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Méthodes de renormalisation : phénoménes, chaos, structures fractales
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注記
Includes bibliographical references (p. [329]-349) and index
内容説明・目次
内容説明
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.
目次
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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