Related papers: An introduction to multiple gaps
This paper gives an introduction to some of the statistical physics problems which appear in the study of structural glasses. It is a shortened and updated version of a more detailed review paper which has appeared in cond-mat/0005173.
This book is a textbook for the basic course of differential geometry. It is recommended as an introductory material for this subject.
We give a brief introduction to the notion of an 'approximate group' and some of its numerous applications.
This text consists on a series of introductory lectures on cosmology for mathematicians and physicists who are not specialized on the subject.
This paper discusses the distributions of missing sums and differences.
This is an expository article on the recent marvellous theorem of Goldston, Pintz, and Yildirim on small gaps between prime numbers.
This article aims to explain essential elements of perturbation theory and their conceptual underpinnings. It is not meant as a summary of popular perturbation methods, though some illustrative examples are given to underline the main…
This is a brief introduction to the world of Noncommutative Algebra aimed at advanced undergraduate and beginning graduate students.
An elementary description of the Eightfold Way for the non-specialist is presented. This article, for publication in {\it Macmillan Encylopedia of Physics, Supplement: Elementary Particle Physics}, is being submitted to the Archive for…
An overview of the recent developments in plurifine potential theory.
The Lie algebras over the algebra of dual numbers are introduced and investigated.
This is a survey article to be part of the Encyclopedia of Mathematical Physics, to be published by Elsevier in the beginning of 2006.
A survey of real differential geometry and loop theory is given in order to introduce the construction of an analytic loop associated to p-adic differential manifold.
In this article, we review the mathematical modeling for the vascular system.
This is the first of two papers that introduce a deformation theoretic framework to explain and broaden a link between homotopy algebra and probability theory. In this paper, cumulants are proved to coincide with morphisms of homotopy…
These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.
In this work a short overview of the development of spin glass theories, mainly long and short range Ising models, are presented.
This is a research announcement of the theory of orbifold quantum cohomology.
The note complements topological aspects of the theory of chiral algebras.
We present a brief introduction to analytic capacity, with an emphasis on its numerical computation. We also discuss several related open problems.