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This encyclopedia article briefly reviews without proofs some of the main results in Poisson reduction. The article recalls most the necessary prerequisites to understand the main results.

Symplectic Geometry · Mathematics 2007-05-23 Juan-Pablo Ortega , Tudor S. Ratiu

We attempt to review all trustworthy and well-controlled de Sitter compactifications of string theory.

High Energy Physics - Theory · Physics 2023-04-03 Iosif Bena , Mariana Graña , Thomas Van Riet

This is a survey article to be part of the Encyclopedia of Mathematical Physics, to be published by Elsevier in the beginning of 2006.

Probability · Mathematics 2016-09-07 Vincent Beffara , Vladas Sidoravicius

It has been argued by Daryl Bem in his 2011 paper that 8 out of 9 experiments yielded statistically significant results in favour of the psi effect. It is pointed out in this short communication that many of the results in the above…

Applications · Statistics 2011-07-06 Akhila Raman

In this paper we expound some basic ideas of proof theory for theories of ordinals such that there are many stable ordinals below the ordinals.

Logic · Mathematics 2011-04-12 Toshiyasu Arai

A formal theory of experimentation will be presented. Such a theory presents the necessary & sufficient conditions a world must satisfy in order to admit the use of the scientific method.

General Physics · Physics 2026-02-02 Eric Tesse

In this paper we overview the Poisson gauge theory focusing on the most recent developments. We discuss the general construction and its symplectic-geometric interpretation. We consider explicit realisations of the formalism for all…

High Energy Physics - Theory · Physics 2023-03-16 M. A. Kurkov

To present a survey on known results from the theory of transposed Poisson algebras, as well as to establish new results on this subject, are the main aims of the present paper. Furthermore, a list of open questions for future research is…

Rings and Algebras · Mathematics 2024-03-29 Patrícia Damas Beites , Bruno Leonardo Macedo Ferreira , Ivan Kaygorodov

This is a series of lecture notes explaining topos theory and its application in physics.

Mathematical Physics · Physics 2012-07-10 Cecilia Flori

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

Dynamical Systems · Mathematics 2008-04-02 Amie Wilkinson

We prepresent an overview of the status of experiment and theory on the supersolid state of matter.

Superconductivity · Physics 2007-06-13 Philip Phillips , Alexander V. Balatsky

An introduction to the methods and ideas of Chiral Perturbation Theory is presented in this talk. The discussion is illustrated with some phenomenological predictions that can be compared with available experimental results.

High Energy Physics - Phenomenology · Physics 2015-06-25 F. Cornet

It is shown that nonvacuum pseudoparticles can account for quantum tunneling and metastability. In particular the saddle-point nature of the pseudoparticles is demonstrated, and the evaluation of path-integrals in their neighbourhood.…

High Energy Physics - Theory · Physics 2007-05-23 J. -Q. Liang , H. J. W. Mueller-Kirsten

A systematic and full description of the theory for a dissipation mechanism of wind wave energy in a spectral representation is given. As a basis of the theory, the fundamental is stated that the most general dissipation mechanism for wind…

Atmospheric and Oceanic Physics · Physics 2010-06-21 Vladislav G. Polnikov

We give an abstract approach to the results of Adams and Nobel, [1]. It allows to exhibit a new property of VC classes. It should be stressed that the basic ideas of proofs can be found in [1].

Probability · Mathematics 2012-11-22 Stanislaw Kwapien

This work is devoted to the definition and the analysis of the effective viscosity associated with a random suspension of small rigid particles in a steady Stokes fluid. While previous works on the topic have been conveniently assuming that…

Analysis of PDEs · Mathematics 2021-10-01 Mitia Duerinckx

This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.

Logic · Mathematics 2011-12-20 Martin Goldstern , Jakob Kellner , Saharon Shelah , Wolfgang Wohofsky

The KAM iterative scheme turns out to be effective in many problems arising in perturbation theory. I propose an abstract version of the KAM theorem to gather these different results.

Dynamical Systems · Mathematics 2013-08-22 Mauricio Garay

This is an introductory lecture to the theory of degenerate Fermi gases, in the context of present experiments on atomic Fermi gases. In part one, some properties of the ideal Fermi gas are presented, including a discussion of the…

Other Condensed Matter · Physics 2009-03-02 Yvan Castin

I review some recent technical developments in quantum information theory by rephrasing them in the form of exercises.

Quantum Physics · Physics 2023-12-20 Blake C. Stacey