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This paper is a commentary on the experimental observation observa-
tions of Bensimon et al. [1] of convection of a binary
uid mixture in a
uid annulus. They observed a convective pattern that is ...
Symmetry Analysis of Reversible Markov Chains
Theory of markov chain the tool orbital diagram building
2015/7/8
We show how to use subgroups of the symmetry group of a reversible Markov chain to give useful bounds on eigenvalues and their multiplicity. We supplement classical representation theoretic tools invo...
We show the following symmetry property of a bounded Reinhardt domain $\Omega$ in $\mathbb{C}^{n+1}$: let $M=\partial\Omega$ be the smooth boundary of $\Omega$ and let $h$ be the Second Fundamental F...
Variable Order Mixed H-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry. Ii. Affine and Curvilinear Elements in 2D
Variable Mixed H-Finite Element Method
2010/11/9
We continue our study on variable order Arnold-Falk-Winther elements for 2D elasticity in context of both affine and parametric curvilinear elements. We present an $h$-stability result for affine ele...
Generalized Dirac bracket and the role of the Poincaré symmetry in the program of canonical quantization of fields 2
Generalized Dirac bracket the Poincaré symmetry canonical quantization
2010/11/19
In this article the methods of canonical analysis and quantization that were reviewed in the first part of the series are applied to the case of the Dirac field in the presence of electromagnetic inte...
Functional self-similarity and renormalization group symmetry in mathematical physics
Functional self-similarity renormalization group symmetry mathematical physics
2010/11/1
The result from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are...