相关论文: PCF Theory

This is an introduction to some recent developments in string theory and M theory. We try to concentrate on the main physical aspects, and often leave more technical details to the original literature.

The goal of this article is to introduce some beautiful known riddles in intuitive topology; hoping to make at least some fun for the reader.

Natural data offer a hard challenge to data analysis. One set of tools is being developed by several teams to face this difficult task: Persistent topology. After a brief introduction to this theory, some applications to the analysis and…

The purpose of this paper is to give, on one hand, a mathematical exposition of the main topological and geometrical properties of geometric transitions, on the other hand, a quick outline of their principal applications, both in…

This write-up starts by introducing lattice chirality to people possessing a fairly modern mathematical background, but little prior knowledge about modern physics. I then proceed to present two new and speculative ideas.

We present a brief overview of fractional analytic QCD.

This monograph is on convex real projective structures on strongly tame n-orbifolds with some appropriate conditions on ends.

Topological data analysis refers to approaches for systematically and reliably computing abstract ``shapes'' of complex data sets. There are various applications of topological data analysis in life and data sciences, with growing interest…

In this paper we develop the theory of topological categories over a base category, that is, a theory of topological functors. Our notion of topological functor is similar to (but not the same) the existing notions in the literature (see…

Brief introduction to the theory of surface phase transitions at planar interfaces, such as wetting phenomena (in Czech).

We summarize some of the main ideas and results around symplectic field theory, from its early inception up to recent and ongoing developments.

We develop a theory of simple pentagonal subdivision of quadrilateral tilings, on orientable as well as non-orientable surfaces. Then we apply the theory to answer questions related to pentagonal tilings of surfaces, especially those…

An expository article on Turaev surfaces written for "A Concise Encyclopedia of Knot Theory," to appear.

We study some topological properties of attractors.

This is a short introduction to quantum computers, quantum algorithms and quantum error correcting codes. Familiarity with the principles of quantum theory is assumed. Emphasis is put on a concise presentation of the principles avoiding…

This article is devoted to showing the product theorem for Bowen's topological entropy.

This is a brief review of the Thomas-Fermi ("statistical" or "density functional") theory of atoms and molecules.

We develop the theory of Mackey profunctors, a version of Mackey functors for profinite groups.

This paper serves as an introduction to the current book. It provides the basic notions of long-baseline optical/infrared interferome-try prior to reading all the subsequent chapters, and is not an extended introduction to the field.

Elementary review article on quantum cryptography.