Scale Invariance and Beyond

Download or read book Scale Invariance and Beyond written by B. Dubrulle and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an excellent introduction to the concept of scale invariance, which is a growing field of research with wide applications. It describes where and how symmetry under scale transformation (and its various forms of partial breakdown) can be used to analyze solutions of a problem without the need to explicitly solve it. The first part gives descriptions of tools and concepts; the second is devoted to recent attempts to go beyond the invariance or symmetry breaking, to discuss causes and consequences, and to extract useful information about the system. Examples are carefully worked out in fields as diverse as condensed matter physics, population dynamics, earthquake physics, turbulence, cosmology and finance.