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Entropy Production and Irreversible Processes -from the perspective of continuous topological evolution

- PhysicsEntropy
- 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 106 REFERENCES

Bernoullicity of solenoidal automorphisms and global fields

- Mathematics
- 1994

We show that ergodic automorphisms of solenoids are isomorphic to Bernoulli shifts by using the product formula for global fields.

Ergodic automorphisms of the infinite torus are bernoulli

- Mathematics
- 1974

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…

Entropy for group endomorphisms and homogeneous spaces

- Mathematics
- 1971

Topological entropy há(T) is defined for a uniformly continuous map on a metric space. General statements are proved about this entropy, and it is calculated for affine maps of Lie groups and certain…

Fitting ideals for finitely presented algebraic dynamical systems

- Mathematics
- 2000

Summary. We consider a class of algebraic dynamical systems introduced by Kitchens and Schmidt. Under a weak finiteness condition — the Descending Chain Condition — the dual modules have finite…

Integer sequences counting periodic points

- Mathematics
- 2002

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

- Mathematics
- 2001

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

- Mathematics
- 2001

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

Additive Cellular Automata and Volume Growth

- MathematicsEntropy
- 2000

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.