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This is a survey of current and recent works on deformation quantization and index theorems.

K-Theory and Homology · Mathematics 2012-10-22 Boris Tsygan

A paper for general audience about descriptive inner model theory.

Logic · Mathematics 2012-06-14 Grigor Sargsyan

We discuss the (twisted) weak positivity theorem. We also treat some applications.

Algebraic Geometry · Mathematics 2015-07-03 Osamu Fujino

Within a quasipotential framework a relativistic analysis is presented of the deuteron current. Assuming that the singularities from the nucleon propagators are important, a so-called equal time approximation of the current is constructed.…

Nuclear Theory · Physics 2008-11-26 E. Hummel , J. A. Tjon

In this note we briefly survey and propose some open problems related to isoparametric theory.

Differential Geometry · Mathematics 2019-10-29 Jianquan Ge

In this paper we will discuss problems and techniques related to underactuated systems. We give a mathematical formulation of several problems arising from applications, review some standard and new techniques, and pose some interesting and…

Optimization and Control · Mathematics 2007-05-23 David Auckly , Lev Kapitanski

A critical review is presented on the most recent attempt to generally explain the notion of "statistical symmetry". This particular explanation, however, is incomplete and misses one important and essential aspect. The aim of this short…

Fluid Dynamics · Physics 2016-02-29 Michael Frewer , George Khujadze , Holger Foysi

In this short paper we review and extract some features of the Fredholm Alternative problem .

Functional Analysis · Mathematics 2010-11-22 Ali Reza Khatoon Abadi , H. R. Rezazadeh

In this paper, we mainly focus on formal deformation theory of module homomorphisms. We first introduce the cohomology of module homomorphisms and study formal one-parameter deformation. We obtain some properties about obstructions. Then we…

Rings and Algebras · Mathematics 2022-08-23 RB Yadav , Liangyun Chen , Yao Ma , Ying Hou

This is a survey of the model theory of second order logic.

Logic · Mathematics 2025-08-05 Jouko Väänänen

In order to meet the requirements of practical applications, a model of deforming manifold in the embedded space is proposed. The deforming vector and deforming field are presented to precisely describe the deforming process, which have…

Differential Geometry · Mathematics 2021-10-12 Xiaodong Zhuang , Nikos E. Mastorakis

The surprising low TOTEM datum $\rho_{pp}$ = 0.09$\pm$0.01 at 13 TeV \cite{TOTEM-1} generated an important flux of papers, which can be classified in three categories: 1) papers which claim that this result is the first experimental…

High Energy Physics - Phenomenology · Physics 2018-11-20 Evgenij Martynov , Basarab Nicolescu

In this paper we introduce the notion of a weak uniform Diophantine exponent of a real number and obtain the complete description of the spectrum of its values.

Number Theory · Mathematics 2025-07-08 Oleg N. German

We discuss various recent advances on weak forms of the Twin Prime Conjecture.

Number Theory · Mathematics 2019-11-01 James Maynard

This is a survey article of the recent progresses on the metric behaviour of Ricci-flat K\"{a}hler-Einstein metrics along degenerations of Calabi-Yau manifolds.

Differential Geometry · Mathematics 2015-11-16 Yuguang Zhang

I review the status of today's theoretical description of Standard Model processes relevant for Tevatron and LHC analyses, and of the tools that are used in phenomenological studies. I will also discuss a few recent ideas to further refine…

High Energy Physics - Phenomenology · Physics 2012-01-25 Giulia Zanderighi

We study weaker variations of the property of flatness in matroid theory. We show that these variations form a chain of increasingly stronger properties all implying pseudomodularity on its lattice of flats. We show examples in the gammoid…

Combinatorics · Mathematics 2018-01-24 Jorge Alberto Olarte

This paper constructs a Riemann surface associated to the icosahedron and discusses the geodesics associated to a flat metric on this surface. Because of the icosahedral symmetry, this is a distinguished special case of the example treated…

Differential Geometry · Mathematics 2024-03-08 Richard Cushman

We present an overview of some recent developments in the theory of generalized formal series, grounded in diffeological geometric framework. These constructions aim to offer new tools for understanding infinite-dimensional phenomena in…

History and Overview · Mathematics 2025-08-25 Jean-Pierre Magnot

Neutron reflectometry analysis is an inherently ill-posed, which is to say that there are many possible solutions which agree equally well with the measured data. This leads to the application of model-dependent analysis, where information…

Applications · Statistics 2020-03-20 Andrew R. McCluskey