The Art and Science of Symmetric Design

Michael Field

Displaying similar documents to “The Art and Science of Symmetric Design”

Ergodic automorphisms whose weak closure of off-diagonal measures consists of ergodic self-joinings

Y. Derriennic, K. Frączek, M. Lemańczyk, F. Parreau (2008)

Colloquium Mathematicae

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Basic ergodic properties of the ELF class of automorphisms, i.e. of the class of ergodic automorphisms whose weak closure of measures supported on the graphs of iterates of T consists of ergodic self-joinings are investigated. Disjointness of the ELF class with: 2-fold simple automorphisms, interval exchange transformations given by a special type permutations and time-one maps of measurable flows is discussed. All ergodic Poisson suspension automorphisms as well as dynamical systems...

Irrational Rotations and Quasi-Ergodic Measures

M. Keane (1970-1971)

Publications mathématiques et informatique de Rennes

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Some Open Problems in Ergodic Theory

Donald S. Ornstein (1975)

Publications mathématiques et informatique de Rennes

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A note on a mean ergodic theorem

A. Al-Hussaini (1974)

Annales Polonici Mathematici

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Korovkin sets and mean ergodic theorems.

Nishishiraho, Toshihiko (1998)

Journal of Convex Analysis

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On the Pointwise Ergodic Behaviour of Transformations Preserving Infinite Measures

Jon Aaronson (1977)

Publications mathématiques et informatique de Rennes

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Finiteness of Ergodic Unitarily Invariant Measures on Spaces of Infinite Matrices

Alexander I. Bufetov (2014)

Annales de l’institut Fourier

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The main result of this note, Theorem 1.3, is the following: a Borel measure on the space of infinite Hermitian matrices, that is invariant and ergodic under the action of the infinite unitary group and that admits well-defined projections onto the quotient space of “corners" of finite size, must be finite. A similar result, Theorem 1.1, is also established for unitarily invariant measures on the space of all infinite complex matrices. These results imply that the infinite Hua-Pickrell...

Absolutely continuous, invariant measures for dissipative, ergodic transformations

Jon Aaronson, Tom Meyerovitch (2008)

Colloquium Mathematicae

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We show that a dissipative, ergodic measure preserving transformation of a σ-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.

The filling scheme and the ergodic theorems of Kesten and Tanny

Janusz Woś (1987)

Colloquium Mathematicae

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Finite generators of ergodic endomorphisms

Zbigniew S. Kowalski (1984)

Colloquium Mathematicae

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Ergodic theory approach to chaos: Remarks and computational aspects

Paweł J. Mitkowski, Wojciech Mitkowski (2012)

International Journal of Applied Mathematics and Computer Science

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We discuss basic notions of the ergodic theory approach to chaos. Based on simple examples we show some characteristic features of ergodic and mixing behaviour. Then we investigate an infinite dimensional model (delay differential equation) of erythropoiesis (red blood cell production process) formulated by Lasota. We show its computational analysis on the previously presented theory and examples. Our calculations suggest that the infinite dimensional model considered possesses an attractor...

Hopf's ratio ergodic theorem by inducing

Roland Zweimüller (2004)

Colloquium Mathematicae

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We present a very quick and easy proof of the classical Stepanov-Hopf ratio ergodic theorem, deriving it from Birkhoff's ergodic theorem by a simple inducing argument.