• Corpus ID: 14274747

VALUATIONS AND HYPERBOLICITY IN DYNAMICS

@inproceedings{Ward2001VALUATIONSAH,
  title={VALUATIONS AND HYPERBOLICITY IN DYNAMICS},
  author={Thomas Ward},
  year={2001}
}
Entropy Production and Irreversible Processes -from the perspective of continuous topological evolution
  • R. Kiehn
  • Mathematics, Computer Science
    Entropy
  • 2004
A concept of entropy production associated with continuous topological evolution is deduced (without statistics) from the fact that Cartan-Hilbert 1-form of Action defines a non-equilibrium

References

SHOWING 1-10 OF 109 REFERENCES
Ergodic automorphisms of the infinite torus are bernoulli
We show that ergodic algebraic automorphisms of the infinite torus are measure isomorphic to Bernoulli shifts. Using the same techniques, we also show that the existence of such an automorphism with
Integer sequences counting periodic points
An existing dialogue between number theory and dynamical systems is advanced. A combinatorial device gives necessary and sufficient conditions for a sequence of non-negative integers to count the
A GENERALIZED BURAU REPRESENTATION FOR STRING LINKS
A 2-variable matrix B ∈ GLn(Z[u±1, v±1]) is defined for any n-string link, generalizing the Burau matrix of an nbraid. The specialization u = 1, v = t−1 recovers the generalized Burau matrix recently
Dynamical systems arising from units in Krull rings
Summary. To a countable Krull ring R and units $ \xi_1,\dots,\xi_d \in R $ we associate a $ {Bbb Z}^d $-action by automorphisms of the compact abelian group $ \widehat{R} $. This generalizes the
E-mail address: t.ward@uea.ac.uk School of Mathematics
  • E-mail address: t.ward@uea.ac.uk School of Mathematics
  • 2001
Expansive subdynamics for algebraic \mathbb{Z}^d-actions
A general framework for investigating topological actions of \mathbb{Z}^d on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower-dimensional subspaces of
Additive Cellular Automata and Volume Growth
  • T. Ward
  • Mathematics, Computer Science
    Entropy
  • 2000
TLDR
A class of dynamical systems associated to rings of S-integers in rational function fields is described, giving a rather complete description of the well-known dynamics in one-dimensional additive cellular automata with prime alphabet.
Arithmetic Dynamical Systems, Ph.D
  • thesis, Univ. of East Anglia,
  • 2000
Arithmetic of numbers of periodic points
Three problems are studied. The first is: When is a given sequence the sequence of numbers of periodic points for some map? Necessary and sufficient conditions are found for this property, and these
Asymptotic geometry of non-mixing shapes
  • Preprint
  • 2000
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