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A characterization of relative weak mixing in W*-dynamical systems in terms of a relatively independent joining is proven.

Operator Algebras · Mathematics 2021-08-31 Rocco Duvenhage , Malcolm King

We study random transformations built from intermittent maps on the unit interval that share a common neutral fixed point. We focus mainly on random selections of Pomeu-Manneville-type maps $T_\alpha$ using the full parameter range $0<…

Dynamical Systems · Mathematics 2016-08-11 Wael Bahsoun , Christopher Bose

In this note we study the weak topology on paired modules over a (not necessarily commutative) ground ring. Over QF rings we are able to recover most of the well known properties of this topology in the case of commutative base fields. The…

Rings and Algebras · Mathematics 2007-05-23 Jawad Y. Abuhlail

The theory of weak localization is generalized for multilevel 2D systems taking into account intersubband scattering. It is shown that weak intersubband scattering which is negligible in a classical transport, affects strongly the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 N. S. Averkiev , L. E. Golub , S. A. Tarasenko , M. Willander

In this article we prove the global existence of weak solutions for a diffuse interface model in a bounded domain (both in 2D and 3D) involving incompressible magnetic fluids with unmatched densities. The model couples the incompressible…

Analysis of PDEs · Mathematics 2021-06-09 Martin Kalousek , Sourav Mitra , Anja Schlömerkemper

We consider weak values in the Feynman propagator framework, to gain a broader understanding of their interpretation in terms of path integrals. In particular, we examine the phenomenon of seemingly discontinuous paths that particles take…

Quantum Physics · Physics 2024-07-10 Shushmi Chowdhury , Jörg B. Götte

On a measure theoretical dynamical system with spectral gap property we consider non-integrable observables with regularly varying tails and fulfilling a mild mixing condition. We show that the normed trimmed sum process of these…

Dynamical Systems · Mathematics 2021-11-25 Marc Kesseböhmer , Tanja Schindler

In this paper we consider non parametric finite translation mixtures. We prove that all the parameters of the model are identifiable as soon as the matrix that defines the joint distribution of two consecutive latent variables is non…

Statistics Theory · Mathematics 2013-02-12 Elisabeth Gassiat , Judith Rousseau

Due to the reduced probability of successful post-selection, the weak-value amplification seems to be unavailable for the parameter-estimation. Here, we show theoretically that, some effects due to the weak interactions present only in the…

Quantum Physics · Physics 2015-01-23 Miao Zhang

We propose to use weak measurements away from the weak-value amplification regime to carry out precision measurements of time delays of light. Our scheme is robust to several sources of noise that are shown to only limit the relative…

Quantum Physics · Physics 2013-02-27 Grégory Strübi , C. Bruder

We study the properties of singular values of mixing matrices embedded within an experimentally determined interval matrix. We argue that any physically admissible mixing matrix needs to have the property of being a contraction. This…

High Energy Physics - Phenomenology · Physics 2018-09-24 K. Bielas , W. Flieger , J. Gluza , M. Gluza

We study irregular binary turbo codes over non-ergodic block-fading channels. We first propose an extension of channel multiplexers initially designed for regular turbo codes. We then show that, using these multiplexers, irregular turbo…

Information Theory · Computer Science 2016-11-17 Ghassan M. Kraidy , Joseph J. Boutros , Albert Guillén i Fàbregas

This paper studies weakly mixing (singular) and mixing masas in type $\rm{II}_{1}$ factors from a bimodule point of view. Several necessary and sufficient conditions to characterize the normalizing algebra of a masa are presented. We also…

Operator Algebras · Mathematics 2017-01-02 Jan Cameron , Junsheng Fang , Kunal Mukherjee

We study the properties of `infinite-volume mixing' for two classes of intermittent maps: expanding maps $[0,1] \longrightarrow [0,1]$ with an indifferent fixed point at 0 preserving an infinite, absolutely continuous measure, and expanding…

Dynamical Systems · Mathematics 2018-11-14 Claudio Bonanno , Paolo Giulietti , Marco Lenci

We develop sensitivity analyses for weak nulls in matched observational studies while allowing unit-level treatment effects to vary. The methods may be applied to studies using any optimal without-replacement matching algorithm. In contrast…

Methodology · Statistics 2020-02-18 Colin B. Fogarty

We provide complete characterizations, on Banach spaces with cotype 2, of those linear operators which happen to be weakly mixing or strongly mixing transformations with respect to some nondegenerate Gaussian measure. These…

Functional Analysis · Mathematics 2011-12-07 Frédéric Bayart , Etienne Matheron

We introduce the concept of weak-localization for generalized frames and use this concept to define a class of weakly localized operators. This class contains many important operators, including: Short Time Fourier Transform multipliers,…

Functional Analysis · Mathematics 2015-08-05 Fawwaz Batayneh , Mishko Mitkovski

We study quenched mixing rates for two classes of random interval maps characterized by the presence of two indifferent fixed points and singular points. Using a random tower construction we prove the existence of an equivariant absolutely…

Dynamical Systems · Mathematics 2024-04-16 Mubarak Muhammad , Marks Ruziboev

We study Krasnoselskii-Mann style iterative algorithms for approximating fixpoints of asymptotically weakly contractive mappings, with a focus on providing generalised convergence proofs along with explicit rates of convergence. More…

Functional Analysis · Mathematics 2021-04-30 Thomas Powell , Franziskus Wiesnet

Jolissaint and Stalder introduced definitions of mixing and weak mixing for von Neumann subalgebras of finite von Neumann algebras. In this note, we study various algebraic and analytical properties of subalgebras with these mixing…

Operator Algebras · Mathematics 2011-07-28 Jan Cameron , Junsheng Fang , Kunal Mukherjee