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I present a brief update on the transverse polarization distributions, focusing on model calculations and phenomenological perspectives.

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Barone

It is shown that any transverse invariant measure of a foliated space can be considered as a measure on the ambient space.

Dynamical Systems · Mathematics 2012-07-12 Carlos Meniño Cotón

Contraction analysis considers the distance between two adjacent trajectories. If this distance is contracting, then trajectories have the same long-term behavior. The main advantage of this analysis is that it is independent of the…

Dynamical Systems · Mathematics 2022-03-04 Peter Giesl , Sigurdur Hafstein , Christoph Kawan

Recent progress concerning regularization of supersymmetric theories is reviewed. Dimensional reduction is reformulated in a mathematically consistent way, and an elegant and general method is presented that allows to study the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dominik Stöckinger

We study some new invariant measures arising from local inverse iterates. Examples are also given.

Dynamical Systems · Mathematics 2009-09-08 Eugen Mihailescu

The definition of accessible coherence is proposed. Through local measurement on the other subsystem and one way classical communication, a subsystem can access more coherence than the coherence of its density matrix. Based on the local…

Quantum Physics · Physics 2017-04-27 Teng Ma , Ming-Jing Zhao , Hai-Jun Zhang , Shao-Ming Fei , Gui-Lu Long

This text is a short but comprehensive introduction to the basics of supergeometry and includes some of the recent advances in colored supergeometry. We do not aim for a standard text that states results and proves them more or less…

Mathematical Physics · Physics 2022-07-27 Norbert Poncin , Sarah Schouten

In recent years the possibility of measuring the temporal change of radial and transverse position of sources in the sky in real time have become conceivable thanks to the thoroughly improved technique applied to new astrometric and…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-26 Claudia Quercellini , Luca Amendola , Amedeo Balbi , Paolo Cabella , Miguel Quartin

We introduce the concept of protometric and present some properties of protometrics.

Metric Geometry · Mathematics 2018-08-17 Michel Deza , Pavel Chebotarev

Symmetry is ubiquitous throughout nature and can often give great insights into the formation, structure and stability of objects studied by mathematicians, physicists, chemists and biologists. However, perfect symmetry occurs rarely so…

Algebraic Topology · Mathematics 2023-08-21 Nicholas Bermingham , Vanessa Robins , Katharine Turner

Many classical geometric inequalities on functionals of convex bodies depend on the dimension of the ambient space. We show that this dimension dependence may often be replaced (totally or partially) by different symmetry measures of the…

Metric Geometry · Mathematics 2014-12-11 René Brandenberg , Stefan König

Additional remarks and questions for transseries. In particular: properties of composition for transseries; the recursive nature of the construction of R[[[ x ]]]; modes of convergence for transseries. There are, at this stage, questions…

Rings and Algebras · Mathematics 2009-09-08 G. A. Edgar

A new method is proposed for directly measuring the expansion rate of the universe through very precise measurement of the fluence of extremely stable sources. The method is based on the definition of the luminosity distance and its change…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-08 Shi Qi , Tan Lu

Measurements of the resistivity anisotropy can provide crucial information about the electronic structure and scattering processes in anisotropic and low-dimensional materials, but quantitative measurements by conventional means often…

Strongly Correlated Electrons · Physics 2017-04-26 P. Walmsley , I. R. Fisher

In this survey, we review the literature on inverse problems in topological persistence theory. The first half of the survey is concerned with the question of surjectivity, i.e. the existence of right inverses, and the second half focuses…

Algebraic Topology · Mathematics 2018-10-26 Steve Oudot , Elchanan Solomon

In this note we resolve three conjectures from [M. Dehmer, S. Pickl, Y. Shi, G. Yu, \emph{New inequalities for network distance measures by using graph spectra}, Discrete Appl. Math. 252 (2019), 17--27] on the comparison of distance…

Combinatorics · Mathematics 2019-12-19 Aleksandar Ilic , Matthias Dehmer

Gauging a symmetry can be thought of as the insertion of a spacetime-filling defect. Accordingly, we regard each gaugeable symmetry in a theory as defining a $-1$-form symmetry via condensation. The resulting operators, called gauge…

High Energy Physics - Theory · Physics 2023-11-21 Thomas Vandermeulen

A flat membrane with given shape is displayed; two points in the membrane are randomly selected; the probability that the separation between the points have a specified value is sought. A simple method to evaluate the probability density is…

Biological Physics · Physics 2007-05-23 A. F. F. Teixeira

We discuss various phenomena of tangency in projective and convex geometry.

Algebraic Geometry · Mathematics 2011-03-07 Roland Abuaf

In this chapter, a statistical measure of complexity is introduced and some of its properties are discussed. Also, some straightforward applications are shown.

Adaptation and Self-Organizing Systems · Physics 2010-09-09 Ricardo Lopez-Ruiz , Hector Mancini , Xavier Calbet
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