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Career opportunities are often a matter of chance, but also of willingness to cross interdisciplinary boundaries.

Instrumentation and Methods for Astrophysics · Physics 2015-07-13 Abraham Loeb

A didactical survey of the foundations of Algorithmic Information Theory. These notes are short on motivation, history and background but introduce some of the main techniques and concepts of the field. The "manuscript" has been evolving…

Information Theory · Computer Science 2021-05-12 Peter Gacs

This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.

Quantum Physics · Physics 2016-09-08 S. Rai , J. Rai

In this paper, the notion of generic transversality and its characterization are given. The characterization is also a further improvement of the basic transversality result and its strengthening which was given by John Mather.

Geometric Topology · Mathematics 2019-09-18 Shunsuke Ichiki

This is a write up on some sections of convex geometry, functional analysis, optimization, and nonstandard models that attract the author.

History and Overview · Mathematics 2015-02-24 S. S. Kutateladze

Socio-economic inequalities are manifested in different aspects of our social life. We discuss various aspects, beginning with the evolutionary and historical origins, and discussing the major issues from the social and economic point of…

Physics and Society · Physics 2016-02-02 Arnab Chatterjee

In this article I reflect upon the problems connected with writing women in mathematics into Wikipedia. I discuss some of the current projects and efforts aimed at increasing the visibility of women in mathematics on Wikipedia. I present…

History and Overview · Mathematics 2017-12-01 Marie A. Vitulli

We discuss three rainbow theories created by Descartes, Newton and Young. The note is written primary for school students.

Popular Physics · Physics 2018-11-30 Aleksei Panov

I will share with the reader what I have learned from Richard Stanley and the ways in which he has contributed to research in combinatorics conducted by me and my collaborators.

Combinatorics · Mathematics 2015-02-02 James Propp

Some personal reflections on the past and future of "econophysics", to appear in Europhysics News

Physics and Society · Physics 2019-03-27 Jean-Philippe Bouchaud

This text is an introduction to the study of NIP (or dependent) theories. It is meant to serve two purposes. The first is to present various aspects of NIP theories and give the reader the background material needed to understand almost any…

Logic · Mathematics 2014-07-22 Pierre Simon

In these lecture notes I describe some of the main theoretical ideas emerged to explain the aging dynamics. This is meant to be a very short introduction to aging dynamics and no previous knowledge is assumed. I will go through simple…

Statistical Mechanics · Physics 2009-11-11 Giulio Biroli

This is a survey of some problems in geometric group theory which I find interesting. The problems are from different areas of group theory. Each section is devoted to problems in one area. It contains an introduction where I give some…

Group Theory · Mathematics 2007-05-23 M. V. Sapir

The theory of bi-Hamiltonian systems has its roots in what is commonly referred to as the "Lenard recursion formula". The story about the discovery of the formula told by Andrew Lenard is the subject of this article.

Exactly Solvable and Integrable Systems · Physics 2008-04-23 Jeffery Praught , Roman G. Smirnov

Author impact evaluation and prediction play a key role in determining rewards, funding, and promotion. In this paper, we first introduce the background of author impact evaluation and prediction. Then, we review recent developments of…

Digital Libraries · Computer Science 2020-08-12 Fuli Zhang , Xiaomei Bai , Ivan Lee

The purpose of this informal article is to introduce the reader to some of the objects and methods of the theory of p-adic representations. My hope is that students and mathematicians who are new to the subject will find it useful as a…

Number Theory · Mathematics 2010-02-22 Laurent Berger

The paper is an introduction to intuitionistic mathematics.

Logic · Mathematics 2021-02-03 Wim Veldman

A Thesis about Euler discussing the possibilities and limits of his method of work in Mathematics.

History and Overview · Mathematics 2025-05-30 Alexander Aycock

Research at the interface between cognitive psychology, neuroscience, and the science of complex, dynamical systems, is piecing together an understanding of the creative process, including how it works, how it can be fostered, and the…

Neurons and Cognition · Quantitative Biology 2018-11-29 Liane Gabora

This paper presents an offering of some of the myriad connections between Combinatorics and Probability, directed in particular toward combinatorialists. The choice of material was dictated by the author's own interests, tastes and…

History and Overview · Mathematics 2021-07-08 Ross G. Pinsky
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