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Fourier Transforms and Measure-Preserving Transformations [PDF]
There exists a continuous function f f on the real line, vanishing at infinity, such that, for every measure-preserving ...
O. Carruth McGehee
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Models for measure preserving transformations [PDF]
This is an attractive survey of some recent work of the author, Dan Rudolph and Benjamin Weiss on classification problems in ergodic theory from the point of view of set theory. A particular focus is how statements about the complexity or the genericity of a dynamical property (for example, mixing, weak-mixing, zero entropy, and so on) or a dynamically
Foreman, Matthew
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Groups of measurable and measure preserving transformations
This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
Eigen, Stanley J.
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The spectral measure and Hilbert transform of a measure-preserving transformation [PDF]
V. F. Gaposhkin gave a condition on the spectral measure of a normal contraction on L 2
James T. Campbell, K. Petersen
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Centralizer of an Ergodic Measure Preserving Transformation
§ 1. Let T be an ergodic measure preserving transformation of a Lebesgue measure space (Q, 23, P), P(O)=1, that is, Tis a one to one mapping from Q onto itself, bimeasurable (T9J = 93), measure preserving (P(T"1A) = P(A) for A in S3) and ergodic (every measurable function /(«) with f(Tco)=f((o) a.e. is constant a.e.).
M. Osikawa
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1. Introduction. Let be a probability space with standard. Let T be a bimeasurable one-to-one map of Ω onto itself. Let U: Ω → Ω be another measurable transformation whose orbits are contained in the T-orbits; that is,where Z denotes the set of ...
J. Kieffer, M. Rahe
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A simple measure-preserving transformation with trivial centralizer. [PDF]
A. del Junco
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Decay of correlations in a chaotic measure-preserving transformation [PDF]
Abstract For a chaotic, area-preserving map on the torus, we study the decay of correlations in detail. Taking as observables the square-integrable functions, we find examples of decay rates which are algebraic, exponential, and faster than exponential. For correlations that decay exponentially the rate is sensitive to the choice of function.
Crawford, J.D., Cary, J.R.
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