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We survey recent results on Calderon's inverse problem with partial data, focusing on three and higher dimensions.

Analysis of PDEs · Mathematics 2013-02-19 Carlos E. Kenig , Mikko Salo

The purpose of this chapter is to provide an overview of the exciting field of black hole quasi-normal modes and its capabilities to test general relativity in the 21st century. After motivating this line of research, we provide a…

General Relativity and Quantum Cosmology · Physics 2023-05-04 Nicola Franchini , Sebastian H. Völkel

The three-dimensional generalized dynamics of soft-matter quasicrystals was investigated, in which the governing equations of the dynamics are derived for observed 12-fold symmetry quasicrystals and possible observed 8- and 10-symmetry ones…

Soft Condensed Matter · Physics 2019-10-17 Tian-You Fan , Zhi-Yi Tang

This is a brief review of recent theoretical efforts to understand persistence in nonequilibrium systems. Some of the recent experimental results are also briefly mentioned. I also discuss recent generalizations of persistence in various…

Statistical Mechanics · Physics 2007-05-23 Satya N. Majumdar

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

Nuclear theory today aims for a comprehensive theoretical framework that can describe all nuclei. I discuss recent progress in this pursuit and the associated challenges as we move forward.

Nuclear Theory · Physics 2008-11-26 D. J. Dean

We survey recent developments in the theory of achievement sets and present a substantial collection of open problems.

Classical Analysis and ODEs · Mathematics 2025-12-22 Szymon Głąb , Franciszek Prus-Wiśniowski

This survey aims to give an overview of several substantial developments of the last 50 years in the structure theory of regular semigroups and to shed light on their impact on other parts of semigroup theory.

Group Theory · Mathematics 2019-09-13 Mária B. Szendrei

I briefly discuss some recent developments (and recall some old news) in the theory and phenomenology of generalised parton distributions.

High Energy Physics - Phenomenology · Physics 2008-08-08 Markus Diehl

A discursive, non-technical, analysis is made of some of the basic issues that arise in almost any approach to quantum gravity, and of how these issues stand in relation to recent developments in the field. Specific topics include the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chris Isham

We introduce a weaker variant of the concept of three point property, which is equivalent to a non-linear local connectivity condition introduced in [12], sufficient to guarantee the extendability of a conformal map f from the unit disk…

Complex Variables · Mathematics 2024-10-15 Changyu Guo

We develop the approach via quasihomomorphisms and the universal algebra $qA$ to Kasparov's $KK$-theory, so as to cover versions of $KK$ such as $KK^{nuc}$, $KK^G$ and ideal related $KK$-theory.

K-Theory and Homology · Mathematics 2024-04-11 Joachim Cuntz , James Gabe

Using the adjoint action of the infinitesimal translations (with respect to some (in)dependant variables) on specific finite-dimensional subspaces of the space of generalized symmetries of some system of partial differential equations, we…

dg-ga · Mathematics 2008-03-13 Arthur G. Sergheyev

We consider a class of abstract quasilinear parabolic problems with lower--order terms exhibiting a prescribed singular structure. We prove well--posedness and Lipschitz continuity of associated semiflows. Moreover, we investigate global…

Analysis of PDEs · Mathematics 2018-08-06 Jeremy LeCrone , Gieri Simonett

The paper deals with quasigroups having a trivial group of automorphisms and a trivial group of autotopisms. Examples of such quasigroups and methods of their verification are given.

Group Theory · Mathematics 2009-05-26 Andriy I. Deriyenko , Ivan I. Deriyenko , Wieslaw A. Dudek

The talk contains a brief introduction string theory, followed by a discussion of some of the recent developments.

High Energy Physics - Lattice · Physics 2009-09-15 Ashoke Sen

We investigate classifications of quasitrivial semigroups defined by certain equivalence relations. The subclass of quasitrivial semigroups that preserve a given total ordering is also investigated. In the special case of finite semigroups,…

Rings and Algebras · Mathematics 2020-05-21 Jimmy Devillet , Jean-Luc Marichal , Bruno Teheux

We study generalized quasiconformal mappings in the context of the inverse Poletsky inequality. We consider the local behavior and the boundary behavior of mappings with the inverse Poletsky inequality. In particular, we obtain logarithmic…

Complex Variables · Mathematics 2023-06-06 Vladimir Gol'dshtein , Evgeny Sevost'yanov , Alexander Ukhlov

In this article we describe recent progress in the computational many-body theory of metal surfaces, and focus on current techniques beyond the local-density approximation of density-functional theory. We overview various applications to…

Materials Science · Physics 2009-10-31 M. Nekovee , J. M. Pitarke

In this paper, we study generalized quantum operations and almost sharp quantum effects, our results generalize and improve some important conclusions in [2] and [3].

Mathematical Physics · Physics 2017-11-09 Shen Jun , Wu Junde