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Countable state Markov shifts are a natural generalization of the well-known subshifts of finite type. They are the subject of current research both for their own sake and as models for smooth dynamical systems. In this paper, we investigate their almost isomorphism and entropy conjugacy and obtain a complete classification for the especially important… (More)

- BY WILLIAM PARRY, Peter Walters
- 2007

0. Introduction. Considerable progress has been made in the classification of measure preserving transformations during the last thirteen years, reaching a high point with the recent work of Ornstein [1]. Most of this theory has concentrated on invertible transformations (automorphisms) since it was here that the essential problems awaited solution. Viewed… (More)

- B . Alver, Birger B. Back, +60 authors B . Wysłouch
- Physical review letters
- 2010

A measurement of two-particle correlations with a high transverse momentum trigger particle (p(T)(trig) > 2.5 GeV/c) is presented for Au+Au collisions at square root(s(NN)) = 200 GeV over the uniquely broad longitudinal acceptance of the PHOBOS detector (-4 < Delta eta < 2). A broadening of the away-side azimuthal correlation compared to elementary… (More)

- Peter Walters
- 2000

We consider a positively expansive local homeomorphism T : X → X satisfying a weak specification property and study the Ruelle operator Lφ of a real-valued continuous function φ satisfying a property we call Bowen’s condition. We study convergence properties of the iterates Lφ and relate them to the theory of equilibrium states.

- Peter Walters
- 2005

When T :X −→X is a one-sided topologically mixing subshift of finite type and φ :X −→R is a continuous function, one can define the Ruelle operator Lφ :C(X)−→C(X) on the space C(X) of real-valued continuous functions on X. The dual operator Lφ always has a probability measure ν as an eigenvector corresponding to a positive eigenvalue (Lφν=λν with λ> 0).… (More)

The potential of 3D printing has been under technical and philosophical discussion for some time, but current rapid prototyping materials can be costly and are limited in terms of functional and visual qualities. Food-based materials could provide a novel and exciting alternative which may also be affordable and accessible as 3d printing extends from… (More)

- Carinna Parraman, Peter Walters, Brendan Reid, David Huson
- Three-Dimensional Image Capture and Applications
- 2008

- Zhiqiang Li, Rufus Bowen, David Ruelle, Peter Walters, Ya. Sinai, Misha Lyubich
- 2014

In this paper, we show that each expanding Thurston map f : S → S has 1 + deg f fixed points, counted with appropriate weight, where deg f denotes the topological degree of the map f . We then prove the equidistribution of preimages and of (pre)periodic points with respect to the unique measure of maximal entropy μf for f . We also show that (S , f, μf ) is… (More)

- Peter Walters
- Mathematical systems theory
- 1970

Introduction. Automorphisms and, more generally, affine transformations of nilmanifolds exhibit many interesting properties. For example, hyperbolic automorphisms serve as basic examples of Anosov diffeomorphisms [6], ergodic automorphisms are Kolmogorov automorphisms [5], and ergodic rotations are examples of transformations with mixed spectrum which do… (More)

- Peter Walters
- Mathematical systems theory
- 1970

Introduction. In Section 1 we define continuous maps with unstable centralizers and homeomorphisms with discrete centralizers. Expansive homeomorphisms, which have recently been of interest to several authors, have discrete centralizers. In Section 2 we obtain necessary and sufficient conditions for affine transformations of nilmanifolds to have discrete… (More)