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The symmetric projective varieties of rank one are all smooth and Fano by a classic result of Akhiezer. We classify the locally factorial (respectively smooth) projective symmetric G-varieties of rank...
Patterson-Sullivan distributions for symmetric spaces of the noncompact type
Patterson-Sullivan distributions symmetric spaces noncompact type
2011/1/18
There is a curious relation between two kinds of phase space distributions associated to Laplace-eigenfunctions ϕk on a compact hyperbolic manifold Y .
Together with the concept of reversibility, another relevant physical notion is time-symmetry, which expresses that there is no way of distinguishing between backward and forward time directions. This...
Universality of scaling and multiscaling in turbulent symmetric binary fluids
Universality of scaling turbulent symmetric binary fluids
2010/12/28
We elucidate the universal scaling and multiscaling properties of the nonequilibrium steady states (NESS) in a driven symmetric binary fluid (SBF) mixture in its homogeneous miscible phase in three di...
Some properties of skew-symmetric distributions
central symmetry log-concavity peakedness quasi-concavity
2011/2/24
The family of skew-symmetric distributions is a wide set of probability density functions
obtained by combining in a suitable form a few components which are selectable quite freely provided some sim...