相关论文: PCF Theory

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…

A comprehensive introduction to two-dimensional conformal field theory is given.

These lecture notes are an informal introduction to the theory of computational complexity and its links to quantum computing and statistical mechanics.

This article is part introduction and part survey to the mathematical area centered around local cohomology.

This is a survey of the spectral theory of tensors.

A concise introduction to the Standard Model of fundamental particle interactions is presented.

I give a brief review of the parton model.

A condensed survey of various aspects of LEP 1 physics is presented with a critical examination of the ingredients that are available for theoretical predictions. A prototype of comparisons for 2f calculations can be found in…

We give an elementary introduction to the theory of supermembranes.

The soft topological spaces and some their related concepts have stud- ied in [7]. In this paper, we introduce and study the notions of soft connected topological spaces after a review of preliminary definitions.

This brief note, written for non-specialists, aims at drawing an introductive overview of the multiverse issue.

The purpose of this note is to start the systematic analysis of cofinal types of topological groups.

This is an expository article/encyclopedia entry explaining the history, techniques, and central results in the field of smooth ergodic theory.

This article is a survey of recent developments in, and a tutorial on, the approach to P v. NP and related questions called Geometric Complexity Theory (GCT). It is written to be accessible to graduate students. Numerous open questions in…

We give an overview of differential cohomology from the point of view of algebraic topology. This includes a survey of several different definitions of differential cohomology groups, a discussion of differential characteristic classes, an…

This article provides a brief introductory account of the theory of aperiodic order.

Recent results concerning the relation of topology and low-lying fermion modes are summarized.

This is a brief introduction to the statistical theory of fluid turbulence, with an emphasis on the field-theoretic treatment of renormalized viscosity and energy fluxes.

The purpose of this short note is to clarify the Group Field Theory vertex and propagators corresponding to the EPRL/FK spin foam models and to detail the subtraction of leading divergences of the model.

Topological Data Analysis is a recent and fast growing field providing a set of new topological and geometric tools to infer relevant features for possibly complex data. This paper is a brief introduction, through a few selected topics, to…