Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Bruce Kitchens"'
Autor:
Bruce Kitchens
Publikováno v:
Ergodic Theory and Dynamical Systems. 41:3768-3779
Let $\mathcal {G}$ be a second countable, Hausdorff topological group. If $\mathcal {G}$ is locally compact, totally disconnected and T is an expansive automorphism then it is shown that the dynamical system $(\mathcal {G}, T)$ is topologically conju
Autor:
Bruce Kitchens, Michał Misiurewicz
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 27:787-798
We investigate a class of homeomorphisms of a cylinder, with all trajectories convergent to the cylinder base and one fixed point in the base. Let A be a nonempty finite or countable family of sets, each of which can be a priori an $\omega$-limit set
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 27:1007-1024
We investigate a family of maps that arises from a model in economics and game theory. It has some features similar to renormalization and some similar to intermittency. In a one-parameter family of maps in dimension 2, when the parameter goes to 0,
Autor:
Bruce Kitchens
Publikováno v:
Journal of Difference Equations and Applications. 15:71-76
The symbolic dynamics of a class of tree maps is analysed. There are three symbolic dynamical systems associated to such a map. They can best be understood in terms of sofic systems, which are generalizations of subshifts of finite type. Several exam
Autor:
Bruce Kitchens
Publikováno v:
Bulletin of the American Mathematical Society. 44:147-156
Publikováno v:
Ergodic Theory and Dynamical Systems, 25, 321-352
This paper proves a theorem about bounding orbits of a time dependent dynamical system. The maps that are involved are examples in convex dynamics, by which we mean the dynamics of piecewise isometries where the pieces are convex. The theorem came to
Publikováno v:
IBM Journal of Research and Development. 47:5-15
This paper describes some mathematical aspects of halftoning in digital printing. Halftoning is the technique of rendering a continuous range of colors using only a few discrete ones. There are two major classes of methods: dithering and error diffus
Publikováno v:
Journal of Modern Dynamics. 13:ⅴ-ⅹ
Autor:
Bruce Kitchens
Publikováno v:
SIAM Journal on Discrete Mathematics. 15:367-381
Several formulations for the definition of a multidimensional convolutional code are discussed in a symbolic dynamics setting and then one is adopted. Using this definition it is shown that there are five other equivalent formulations. One is in term
Autor:
Bruce Kitchens, Klaus Schmidt
Publikováno v:
Inventiones mathematicae. 142:559-577
An irreducible algebraic ℤ d -actionα on a compact abelian group X is a ℤ d -action by automorphisms of X such that every closed, α-invariant subgroup Y⊊X is finite. We prove the following result: if d≥2, then every measurable conjugacy bet