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An overview of supersymmetry searches is presented, covering collider experiments, direct and indirect searches for supersymmetric dark matter. Recent LHC experimental results are reviewed, and the constraints from B-meson decays are…

High Energy Physics - Phenomenology · Physics 2015-11-11 Vasiliki A. Mitsou

In this paper, we propose two novel approaches for hypergraph comparison. The first approach transforms the hypergraph into a graph representation for use of standard graph dissimilarity measures. The second approach exploits the…

Machine Learning · Computer Science 2021-06-16 Amit Surana , Can Chen , Indika Rajapakse

We survey recent progress in the problem of recovering a tensor field from its integrals along geodesics. We also propose several open problems.

Differential Geometry · Mathematics 2013-03-26 Gabriel P. Paternain , Mikko Salo , Gunther Uhlmann

These lectures are a brief introduction to supersymmetry.

High Energy Physics - Phenomenology · Physics 2017-08-03 Y. Shadmi

We construct explicitly the symmetries of the isospectral deformations as twists of Lie algebras and demonstrate that they are isometries of the deformed spectral triples.

Quantum Algebra · Mathematics 2018-06-04 Andrzej Sitarz

This note presents families of inequalities for the Gaussian measure of convex sets which extend the recently proven Gaussian correlation inequality in various directions.

Probability · Mathematics 2017-10-10 Michael R. Tehranchi

Recent links between Finsler Geometry and the geometry of spacetimes are briefly revisited, and prospective ideas and results are explained. Special attention is paid to geometric problems with a direct motivation in Relativity and other…

Differential Geometry · Mathematics 2015-06-17 Miguel A. Javaloyes , Miguel Sánchez

We prove new versions of the isomorphic Busemann-Petty problem for two different measures and show how these results can be used to recover slicing and distance inequalities. We also prove a sharp upper estimate for the outer volume ratio…

Functional Analysis · Mathematics 2019-12-03 Alexander Koldobsky , Grigoris Paouris , Artem Zvavitch

With growing applications of Machine Learning (ML) techniques in the real world, it is highly important to ensure that these models work in an equitable manner. One main step in ensuring fairness is to effectively measure fairness, and to…

Machine Learning · Computer Science 2024-06-21 Abdalwahab Almajed , Maryam Tabar , Peyman Najafirad

Metrics in Grassmannians, or distances between subspaces of same dimension, have many uses, and extending them to the Total Grassmannian of subspaces of different dimensions is an important problem, as usual extensions lack good properties…

Metric Geometry · Mathematics 2025-01-07 André L. G. Mandolesi

A stability version of the reverse isoperimetric inequality, and the corresponding inequality for isotropic measures are established.

Metric Geometry · Mathematics 2015-01-13 Karoly J. Boroczky , Daniel Hug

We present a study of the valence transversity PDF obtained through a constrained fit. The effects of the constraints on the uncertainties of the PDF are explored. We show that the resulting isovector tensor charge is largely undetermined…

High Energy Physics - Phenomenology · Physics 2021-08-05 A. Courtoy

These are intended to be review notes on emergent symmetries, i.e., symmetries which manifest themselves in specific sectors of energy in many systems. The emphasis is on the physical aspects rather than computation methods. We include some…

High Energy Physics - Theory · Physics 2016-03-17 Pedro R. S. Gomes

The area of research called \textquotedblleft Lineability\textquotedblright% \ looks for linear structures inside exotic subsets of vector spaces. In the last decade lineability/spaceability has been investigated in rather general settings;…

Functional Analysis · Mathematics 2018-09-10 Vinícius Fávaro , Daniel Pellegrino , Daniel Tomaz

We review the theoretical framework underlying models of asymmetric dark matter, describe astrophysical constraints which arise from observations of neutron stars, and discuss the prospects for detecting asymmetric dark matter.

High Energy Physics - Phenomenology · Physics 2015-06-16 Jason Kumar

Large amount of multidimensional data represented by multiway arrays or tensors are prevalent in modern applications across various fields such as chemometrics, genomics, physics, psychology, and signal processing. The structural complexity…

Statistics Theory · Mathematics 2024-05-29 Arnab Auddy , Dong Xia , Ming Yuan

Thurston introduced in his seminal work an asymmetric metric on Teichm\"uller space by the ratio of simple closed curve length. In this paper, we generalize the idea and define an asymmetric metric on the space of unit-area flat metrics…

Geometric Topology · Mathematics 2025-10-21 Jiajun Shi

Distance Geometry is based on the inverse problem that asks to find the positions of points, in a Euclidean space of given dimension, that are compatible with a given set of distances. We briefly introduce the field, and discuss some open…

Metric Geometry · Mathematics 2016-10-04 Leo Liberti , Carlile Lavor

We prove several inequalities estimating the distance between volumes of two bodies in terms of the maximal or minimal difference between areas of sections or projections of these bodies. We also provide extensions in which volume is…

Metric Geometry · Mathematics 2016-08-12 Apostolos Giannopoulos , Alexander Koldobsky

The current status of asteroseismic studies is here reviewed and the adequate techniques of analysis available today for the study of the oscillation frequencies are presented. Comments on prospects for future investigations through the…

Solar and Stellar Astrophysics · Physics 2012-12-21 M. P. Di Mauro