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This is a personal recollection of the time when the search for APV was beginning. In spite of today's remarkable results, summarized here, there are still important goals to be achieved. I indicate a possible way to tackle the remaining…

Atomic Physics · Physics 2022-03-02 Marie-Anne Bouchiat

I discuss gauge and global symmetries in particle physics, condensed matter physics, and quantum gravity. In a modern understanding, global symmetries are approximate and gauge symmetries may be emergent. (Based on a lecture at the April,…

High Energy Physics - Theory · Physics 2018-03-14 Edward Witten

Recent progress in the gauge-mediated supersymmetry breaking is reviewed, with emphasis on the theoretical problems which gauge-mediated models so successfully solve, as well as those problems which are endemic to the models themselves and…

High Energy Physics - Phenomenology · Physics 2009-10-30 Christopher Kolda

See http://www.math.msu.edu/~abbas or Wiley preprint server.

Symplectic Geometry · Mathematics 2007-05-23 Casim Abbas

Recent developments in cosmic strings are reviewed, with emphasis on unresolved problems.

High Energy Physics - Theory · Physics 2007-06-20 Alexander Vilenkin

We construct isoperimetric regions from separating hypersurfaces in closed manifolds. This yields isoperimetric boundaries exhibiting a wide variety of topological types and singular sets.

Differential Geometry · Mathematics 2026-03-16 Kobe Marshall-Stevens , Gongping Niu

The concept of complexity appears in virtually all areas of knowledge. Its intuitive meaning shares similarities across fields, but disagreements between its details hinders a general definition, leading to a plethora of proposed…

Statistical Mechanics · Physics 2023-10-04 Roberto C. Alamino

In an isotropic and homogeneous Hubble expansion, all transverse motion is peculiar. Like the radial peculiar velocities of galaxies, transverse peculiar velocities are a means to trace the density of matter that does not rely on light…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-05 Jeremy Darling , Alexandra E. Truebenbach

The effectiveness of projection methods for solving systems of linear inequalities is investigated. It is shown that they have a computational advantage over some alternatives and that this makes them successful in real-world applications.…

Optimization and Control · Mathematics 2009-12-23 Y. Censor , W. Chen , P. L. Combettes , R. Davidi , G. T. Herman

This paper proposes a method for computing the visible occluding contours of subdivision surfaces. The paper first introduces new theory for contour visibility of smooth surfaces. Necessary and sufficient conditions are introduced for when…

Graphics · Computer Science 2022-06-09 Chenxi Liu , Pierre Bénard , Aaron Hertzmann , Shayan Hoshyari

The aim of this work is to give a twistor presentation of recent results about bi-Hermitian metrics on compact complex surfaces with odd first Betti number.

Differential Geometry · Mathematics 2014-04-18 Akira Fujiki , Massimiliano Pontecorvo

In this paper, a method of measuring the entropy is presented. Problems related to the entropy and the heat are also discussed.

General Physics · Physics 2007-05-23 Bin Zhou

A possible generalisation is given to the meaning of maximal symmetry in the presence of torsion

High Energy Physics - Theory · Physics 2007-05-23 Debashis Gangopadhyay , Soumitra Sengupta

This short review is devoted to measures on infinite dimensional spaces. We start by discussing product measures and projective techniques. Special attention is paid to measures on linear spaces, and in particular to Gaussian measures.…

Functional Analysis · Mathematics 2023-12-08 José Velhinho

For most materials, the symmetry group is known a priori and deduced from the realization process. This allows many simplifications for the measurements of the stiffness tensor. We deal here with the case where the symmetry is a priori…

Classical Physics · Physics 2009-11-30 Marc Louis Maurice François , Giuseppe Geymonat , Yves Berthaud

If supersymmetry turns out to be a symmetry of nature at low energies, the first order of business to measure the soft breaking parameters. But one will also want to understand the symmetry, and its breaking, more microscopically. Two…

High Energy Physics - Theory · Physics 2017-08-23 Michael Dine

Symmetry is an important feature of many constraint programs. We show that any symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different symmetries pick out different solutions in each symmetry…

Artificial Intelligence · Computer Science 2009-09-18 George Katsirelos , Toby Walsh

Convergence theory is an extension of general topology. In contrast with topology, it is closed under some important operations, like exponentiation. With all its advantages, convergence theory remains rather unknown. It is an aim of this…

General Topology · Mathematics 2020-06-23 Szymon Dolecki

Transparent object perception is a rapidly developing research problem in artificial intelligence. The ability to perceive transparent objects enables robots to achieve higher levels of autonomy, unlocking new applications in various…

Robotics · Computer Science 2023-10-18 Jiaqi Jiang , Guanqun Cao , Jiankang Deng , Thanh-Toan Do , Shan Luo

This paper deals with the famous isoperimetric inequality. In a first part, we give some new functional form of the isoperimetric inequality, and in a second part, we give a quantitative form with a remainder term involving Wasserstein…

Functional Analysis · Mathematics 2017-01-04 Erik Thomas
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