Related papers: An introduction to multiple gaps

In this article we survey some of the recent developments in the structure theory of set addition.

An introduction to Hyperbolic Analysis is presented.

This paper aims to provide a careful and self-contained introduction to the theory of topological degree in Euclidean spaces. It is intended for people mostly interested in analysis and, in general, a heavy background in algebraic or…

This paper gives an introduction to some results on monodromy groupoids and the monodromy principle, and then develops the notion of monodromy groupoid for group groupoids.

Covering theory is an important tool in representation theory of algebras, however, the results and the proofs are scattered in the literature. We give an introduction to covering theory at a level as elementary as possible.

This is a draft of my textbook on mathematical analysis and the areas of mathematics on which it is based. The idea is to fill the gaps in the existing textbooks. Any remarks from readers are welcome.

This article gives a compact introduction and overview of the theory underlying the experiments described in the rest of this review.

This is a short expository article on alternating knots and is to appear in the Concise Encyclopedia of Knot Theory.

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

This paper concerns the number of lattice points in a circle.

The goal of this article is to invite the reader to get to know and to get involved into higher Teichm\"uller theory by describing some of its many facets.

This is a summary of the proof of BAB conjecture. All material are taken from the two BAB paper in the reference. The aim of this summary is to help reader to understand the more technical side of the proof of BAB.

This is the written version of a set of introductory lectures on string theory.

This is a supplement to the article "Markov Chain Monte Carlo Based on Deterministic Transformations" available at http://arxiv.org/abs/1106.5850

These notes are an introduction to the theory of quantum symmetries of finite and infinite sets, graphs, and locally compact spaces.

To appear in Encyclopedia of Mathematical Physics, published by Elsevier in early 2006. Comments/corrections welcome. The article surveys topological aspects in gauge theories.

An exposition of the basic geometry of twistor integrals, intended for mathematicians.

A review of Finite Gap Jacobi Matrices.

These informal notes deal with some basic properties of metric spaces, especially concerning lengths of curves.

A very elementary introduction to quantum algebras is presented and a few examples of their physical applications are mentioned.