Results 11 to 20 of about 173,424 (246)
Ergodicity Space for Measure-Preserving Transformations [PDF]
Chinese Journal of Mathematics, 2016 We introduce the concept of ergodicity space of a measure-preserving transformation and will present some of its properties as an algebraic weight for measuring the size of the ergodicity of a measure-preserving transformation. We will also prove the invariance of the ergodicity space under conjugacy of dynamical systems.
M. Rahimi, A. Assari
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Fourier Transforms and Measure-Preserving Transformations [PDF]
Proceedings of the American Mathematical Society, 1974 There exists a continuous function f f on the real line, vanishing at infinity, such that, for every measure-preserving transformation h h , the composition f ∘ h f \circ h fails to be a Fourier transform.
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Multiple recurrence for non-commuting transformations along rationally independent polynomials [PDF]
, 2017 We prove a multiple recurrence result for arbitrary measure-preserving transformations along polynomials in two variables of the form $m+p_i(n)$, with rationally independent $p_i$'s with zero constant term. This is in contrast to the single variable case,
Frantzikinakis, Nikos +1 more
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The spectral measure and Hilbert transform of a measure-preserving transformation [PDF]
Transactions of the American Mathematical Society, 1989 V. F. Gaposhkin gave a condition on the spectral measure of a normal contraction on L 2 {L^2} sufficient to imply that the operator satisfies the pointwise ergodic theorem. We prove that unitary operators which come from measure-preserving transformations satisfy a stronger version of this condition.
Campbell, James, Petersen, Karl
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On Partially Trace Distance Preserving Maps and Reversible Quantum Channels
Journal of Applied Mathematics, 2013 We give a characterization of trace-preserving and positive linear maps preserving trace distance partially, that is, preservers of trace distance of quantum states or pure states rather than all matrices.
Long Jian, Kan He, Qing Yuan, Fei Wang
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Recurrence of cocycles and stationary random walks [PDF]
, 2006 We survey distributional properties of $\mathbb{R}^d$-valued cocycles of finite measure preserving ergodic transformations (or, equivalently, of stationary random walks in $\mathbb{R}^d$) which determine recurrence or transience.Comment: Published at ...
Klaus Schmidt, Klaus Schmidt
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Generic behavior of a measure-preserving transformation [PDF]
Ergodic Theory and Dynamical Systems, 2018 Del Junco–Lemańczyk [Generic spectral properties of measure-preserving maps and applications. Proc. Amer. Math. Soc., 115 (3) (1992)] showed that a generic measure-preserving transformation satisfies certain orthogonality conditions. More precisely, there is a dense $G_{\unicode[STIX]{x1D6FF}}$ subset of measure preserving transformations such that ...
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Invariance of Poisson measures under random transformations [PDF]
, 2011 We prove that Poisson measures are invariant under (random) intensity preserving transformations whose finite difference gradient satisfies a cyclic vanishing condition.
Privault, Nicolas
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Infinite Dimensional Maximal Torus Revisited
MathematicsLet Tm be the maximal torus of a set of m×m unitary diagonal matrices. Let T be a collection of all maps that rigidly rotate every circle of latitude of the sphere with a fixed angle.
Mohamed Lemine H. Bouleryah +2 more
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The measure in three dimensional Nambu-Goto string theory
, 1996 We show that the measure of the three dimensional Nambu-Goto string theory has a simple decomposition as a measure on two parameter group of induced area-preserving transformations of the immersed surface and a trivial measure for the area of the surface.
A. Sedrakyan +14 more
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