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Short review of experimental and theoretical researches influence of inner boundaries at properties of composite materials. Reviewing articles that are made at the last, approximately, thirty years, and which demonstrate role of inner…

Materials Science · Physics 2017-08-25 Alexander Herega , Victor Volkov

This is a survey on recent results regarding singularities that occur on higher dimensional stable varieties.

Algebraic Geometry · Mathematics 2012-01-24 Sándor J. Kovács

I review in a schematic way the current status of indirect searches for Dark Matter: I list the main relevant experimental results of the recent years and I discuss the excitements and disappointments that their phenomenological…

High Energy Physics - Phenomenology · Physics 2015-06-04 Marco Cirelli

Systematic application of software metric techniques can lead to significant improvements of the quality of a final software product. However, there is still the evident lack of wider utilization of software metrics techniques and tools due…

Software Engineering · Computer Science 2013-11-18 Gordana Rakic , Zoran Budimac

Over the past decades, kinetic description of granular materials has received a lot of attention in mathematical community and applied fields such as physics and engineering. This article aims to review recent mathematical results in…

Analysis of PDEs · Mathematics 2020-01-31 Jose Antonio Carrillo , Jingwei Hu , Zheng Ma , Thomas Rey

Surveys of the local and distant Universe are the means to test and improve our models of galaxy formation. Substantial successes in the models are evident, while there is also considerable recent progress in identifying what remains to be…

Astrophysics · Physics 2007-05-23 Gerry Gilmore

These notes deal with metric spaces, Hausdorff measures and dimensions, Lipschitz mappings, and related topics. The reader is assumed to have some familiarity with basic analysis, which is also reviewed.

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen Semmes

The aim of this paper is to provide an overview of recent development related to Bregman distances outside its native areas of optimization and statistics. We discuss approaches in inverse problems and image processing based on Bregman…

Optimization and Control · Mathematics 2015-05-21 Martin Burger

The purpose of this article is to review the achievements made in the last few years towards the understanding of the reasons behind the success and subtleties of neural network-based machine learning. In the tradition of good old applied…

Machine Learning · Computer Science 2020-12-09 Weinan E , Chao Ma , Stephan Wojtowytsch , Lei Wu

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

A few topics beyond the standard model are reviewed.

High Energy Physics - Phenomenology · Physics 2009-09-25 S. Dimopoulos

This paper, written in relation to the Current Developments in Mathematics 2012 Conference, discusses the recent papers on perfectoid spaces. Apart from giving an introduction to their content, it includes some open questions, as well as…

Algebraic Geometry · Mathematics 2013-03-26 Peter Scholze

The last decade has witnessed a number of important and exciting developments that had been achieved for improving recurrence plot based data analysis and to widen its application potential. We will give a brief overview about important and…

Chaotic Dynamics · Physics 2024-09-09 Norbert Marwan , K. Hauke Kraemer

This is a survey paper on several aspects of differential geometry for the last 30 years, especially in those areas related to non-linear analysis. It grew from a talk I gave on the occasion of seventieth anniversary of Chinese Mathematical…

Differential Geometry · Mathematics 2007-05-23 Shing-Tung Yau

We review recent findings on spin glass models. Both the equilibrium properties and the dynamic properties are covered. We focus on progress in theoretical, in particular numerical, studies, while its relationship to real magnetic materials…

Disordered Systems and Neural Networks · Physics 2016-11-23 N. Kawashima , H. Rieger

The modern status of large extra dimensional (LED) approaches, highlights of their manifestation and short prehistory are discussed in this paper.

High Energy Physics - Phenomenology · Physics 2007-05-23 Ghela G Devidze , Akaki G Liparteliani

We survey recent developments in the theory and applications of the broken ray transforms. Furthermore, we discuss some open problems.

Differential Geometry · Mathematics 2025-08-12 Shubham R. Jathar , Jesse Railo

In this paper we aim at providing a general reflection around the present and future of social media metrics (or altmetrics) and how they could evolve into a new discipline focused on the study of the relationships and interactions between…

Digital Libraries · Computer Science 2018-01-16 Rodrigo Costas

The aim of this survey article is to cover most of the recent research on preopen sets. I try to present majority of the results on preopen sets that I am aware of.

General Topology · Mathematics 2007-05-23 Julian Dontchev

There has been a renaissance in hadron spectroscopy during the last couple of years. Long lost states have been tracked down. Unexpected states are showing up all over, and numerous measurements with unprecedented precision are being…

High Energy Physics - Experiment · Physics 2009-11-11 Kamal K. Seth