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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 ...
PROPERTIES OF UNIFORM DOUBLY STOCHASTIC MATRICES
Doubly Stochastic Matrices Birkho polytope
2015/7/7
We investigate the properties of uniform doubly stochastic random matrices, that is non-negative matrices conditioned to have their rows and columns sum to 1. The rescaled marginal distributions are s...
Sparse paving matroids, basis-exchange properties, and cyclic flats
Sparse paving matroids basis-exchange properties cyclic flats
2010/11/9
We provide evidence for five long-standing, basis-exchange conjectures for matroids by proving them for the enormous class of sparse paving matroids. We also explore the role that these matroids may p...
Local properties of Hilbert spaces of Dirichlet series
Local properties Hilbert spaces Dirichlet series
2010/11/19
We show that the asymptotic behavior of the partial sums of a sequence of positive numbers determine the local behavior of the Hilbert space of Dirichlet series defined using these as weights. This ex...
Characterizations of intra-regular gamma AG-groupoids by the properties of their gamma ideals
intra-regular gamma AG-groupoids gamma ideals
2010/11/11
We have characterized an intra-regular {\Gamma}-AG^{**}-groupoids by using the properties of {\Gamma}-ideals (left, right, two-sided ), {\Gamma}-interior, {\Gamma}-quasi, {\Gamma}-bi and {\Gamma}-gene...
Random Overlap Structures: Properties and Applications to Spin Glasses
Random Overlap Structures Properties Applications Spin Glasses
2010/11/15
Random Overlap Structures (ROSt's) are random elements on the space of probability measures on the unit ball of a Hilbert space, where two measures are identified if they differ by an isometry. In spi...
On some properties of local determinantal representations
properties local determinantal representations
2010/12/6
Matrices of locally analytic functions in two variables correspond to the maximal Cohen-Macaulay modules over plane curve singularities and to the local determinantal representations.
We examine Bourbaki's function, an easily-constructed continu-ous but nowhere-di erentiable function, and explore properties including func-tional identities, the antiderivative, and the box dimension...