Logo

Valuations and Hyperbolicity in Dynamics

Small book cover: Valuations and Hyperbolicity in Dynamics

Valuations and Hyperbolicity in Dynamics
by

Publisher: University of East Anglia
Number of pages: 58

Description:
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:
Download link
(590KB, PDF)

Similar books

Book cover: Introduction to the Theory of Infinite-Dimensional Dissipative SystemsIntroduction to the Theory of Infinite-Dimensional Dissipative Systems
by - ACTA
An introduction to infinite-dimensional dissipative dynamical systems. The book outlines a variety of tools applied in the study of nonlinear dynamical distributed systems. The results have applications to many areas of physics and engineering.
(7041 views)
Book cover: Substitutions in Dynamics, Arithmetics, and CombinatoricsSubstitutions in Dynamics, Arithmetics, and Combinatorics
by - Springer
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules.
(6366 views)
Book cover: Variational Modelling: Energies, gradient flows, and large deviationsVariational Modelling: Energies, gradient flows, and large deviations
by - arXiv
The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the methodology itself in great detail, and explain why this is a rational modelling route.
(4743 views)
Book cover: Introduction to Dynamical Systems: A Hands-on Approach with MaximaIntroduction to Dynamical Systems: A Hands-on Approach with Maxima
by
In this book we explore some topics on dynamical systems, using an active teaching approach, supported by computing tools. The subject of this book on dynamical systems is at the borderline of physics, mathematics and computing.
(6302 views)