相关论文: Percolation theory

Electronic version of Entry in Encyclopedia of Nonlinear Science.

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

This article was written for a multi-volume History of Science, and published in Italian translation: Storia della Scienza, Volume IX, La Grande Scienza, pp 645-656 (published by Istituto della Enciclopedia Italiana, Fondata da Giovanni…

This is a survey of Rational Homotopy Theory, intended for a Mathematical Physics readership.

Proposal for contribution to the quantum field theory section in "Encyclopedia of Mathematical Physics".

Percolation is the paradigm for random connectivity and has been one of the most applied statistical models. With simple geometrical rules a transition is obtained which is related to magnetic models. This transition is, in all dimensions,…

This is an invited survey article on higher gauge theory for the Encyclopedia of Mathematical Physics, 2nd edition. In particular, we provide a lightning introduction to higher structures and to the construction of the kinematical data of…

This is an introductory article to the theory of multiple gaps.

Planning to explore the beginning of the Universe? A lightweight introductory guide to the theory of Inflation.

This is a reference volume on polyfold and Fredholm theory.

There has been quite some activity and progress concerning spectral asymptotics of random operators that are defined on percolation subgraphs of different types of graphs. In this short survey we record some of these results and explain the…

This is a survey paper of Shelah's pcf theory. In this part the theory is developed up to the pcf theorem.

We provide an introduction to mathematical theory of scattering resonances and survey some recent results.

A review article on perturbation theory

Invited contribution to the inaugural issue of {\em Physics Educator.}

This article was published as Sec.5 of the "Roadmap on Structured Light" in Journal of Optics 19 (2017) 013001. Section 5 describes the essential elements of the classical theory of electromagnetic angular momentum.

This is an overview article on finite type invariants, written for the Encyclopedia of Mathematical Physics

This is a comment on Phys. Rev. A 67, 022104(2003).

This is a review article for Encyclopedia of Complexity and System Science, to be published by Springer http://refworks.springer.com/complexity/. The paper reviews statistical models for money, wealth, and income distributions developed in…

In the last two decades there was a lot of progress in understanding the geometry of smooth Gaussian fields. This survey aims to cover one particular line of research: the large scale behaviour of level and excursion sets and their…