Valuations and Hyperbolicity in Dynamics
by Thomas Ward
Publisher: University of East Anglia 2001
Number of pages: 58
These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit (analogues of) hyperbolicity. This approach goes a little beyond simply providing a convenient language.
Home page url
Download or read it online for free here:
by Predrag Cvitanovic - ChaosBook.org
This is a graduate textbook on classical and quantum chaos, applicable to problems of physics, chemistry and other sciences. It represents an attempt to formulate the subject as one of the cornerstones of the graduate physics curriculum of future.
by K.J.H. Law, A.M. Stuart, K.C. Zygalakis - arXiv.org
This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation. Authors develop a framework in which a Bayesian formulation of the problem provides the bedrock for the derivation and analysis of algorithms.
by Eric Tesse - arXiv
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold.
by Bai-Lin Hao - World Scientific
This is a monograph on chaos in dissipative systems written for those working in the physical sciences. Emphasis is on symbolic description of the dynamics and characteristics of the attractors, written from the view-point of practical applications.