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Some aspects of black holes in supersymmetric theories of gravity are reviewed and some recent results outlined.

High Energy Physics - Theory · Physics 2012-01-11 Laura Andrianopoli , Riccardo D'Auria , Sergio Ferrara

Some aspects of the multidimensional soliton geometry are considered.

Differential Geometry · Mathematics 2007-05-23 R. N. Syzdykova , Kur. R. Myrzakul , G. N. Nugmanova , R. Myrzakulov

In this paper the double-sided Talor's approximations are used to obtain generalisations and improvements of some trigonometric inequalities.

Classical Analysis and ODEs · Mathematics 2019-06-12 Branko Malesevic , Tatjana Lutovac , Marija Rasajski , Bojan Banjac

The alignments of galaxies across the large-scale structure of the Universe are known to be a source of contamination for gravitational lensing, but they can also probe cosmology and the physics of galaxy evolution in many ways. In this…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-19 Nora Elisa Chisari

Asymmetry measurements are common in collider experiments and can sensitively probe particle properties. Typically, data can only be measured in a finite region covered by the detector, so an extrapolation from the visible asymmetry to the…

High Energy Physics - Experiment · Physics 2016-06-22 Katrina Colletti , Ziqing Hong , David Toback , Jonathan S. Wilson

We survey recent work on the geometry and dynamics of transverse subgroups of semi-simple Lie groups.

Dynamical Systems · Mathematics 2025-02-12 Richard Canary , Tengren Zhang , Andrew Zimmer

In this paper, we introduce for the first time the notions of neutrosophic measure and neutrosophic integral, and we develop the 1995 notion of neutrosophic probability. We present many practical examples. It is possible to define the…

Artificial Intelligence · Computer Science 2013-12-02 Florentin Smarandache

This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.

Algebraic Geometry · Mathematics 2014-09-15 Bertrand Toën

In this survey, we give a short overview of the recent progress on the multidimensional L2 conjecture. It can also serve as an introduction to the subject.

Analysis of PDEs · Mathematics 2012-03-21 Sergey A. Denisov

The measurement of distance between two objects is generalized to the case where the objects are no longer points but are one-dimensional. Additional concepts such as non-extensibility, curvature constraints, and non-crossing become central…

Soft Condensed Matter · Physics 2008-03-04 Steven S. Plotkin

Some new aspects of axially symmetric spacetimes are discussed. These results open the door for future interplay between analytical and numerical studies. The new developments are based on the role of the total mass in axial symmetry.…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Sergio Dain

The concept of turnaround surface in an accelerating universe is generalized to arbitrarily large deviations from spherical symmetry, to close the gap between the idealized theoretical literature and the real world observed by astronomers.…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Andrea Giusti , Valerio Faraoni

A new sequential approach to investigations of structure of metric spaces at infinity is proposed. Criteria for finiteness and boundedness of metric spaces at infinity are found.

Metric Geometry · Mathematics 2017-04-04 Viktoriia Bilet , Oleksiy Dovgoshey

We begin the study of completeness of affine connections, especially those on statistical manifolds as well as on affine hypersurfaces. We collect basic facts, prove new theorems and provide examples with remarkable properties.

Differential Geometry · Mathematics 2020-03-27 Barbara Opozda

We study finitely additive extensions of the asymptotic density to all the subsets of natural numbers. Such measures are called density measures. We consider a class of density measures constructed from free ultrafilters on $\mathbb{N}$ and…

Number Theory · Mathematics 2016-01-26 Ryoichi Kunisada

When studying convergence of measures, an important issue is the choice of probability metric. In this review, we provide a summary and some new results concerning bounds among ten important probability metrics/distances that are used by…

Probability · Mathematics 2007-05-23 Alison L. Gibbs , Francis Edward Su

We review the motivation for Gauge-Mediated Supersymmetry Breaking and discuss some recent advances.

High Energy Physics - Phenomenology · Physics 2007-05-23 Lisa Randall

The general expression of the angular distance between two point sources as measured by an arbitrary observer is given. The modelling presented here is rigorous, covariant and valid in any space-time. The sources of light may be located at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pierre Teyssandier , Christophe Le Poncin-Lafitte

For more that seventy years, the measurements of fluxes of galaxies at different wavelengths and derived colours have been used to estimate their corresponding cosmological distances. From the fields of galaxy and AGN evolution to precision…

Astrophysics of Galaxies · Physics 2018-06-06 Mara Salvato , Olivier Ilbert , Ben Hoyle

Diversities have recently been developed as multiway metrics admitting clear and useful notions of hyperconvexity and tight span. In this note we consider the analytic properties of diversities, in particular the generalizations of uniform…

Metric Geometry · Mathematics 2013-11-19 Andrew Poelstra