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We prove in this paper that the weighted volume of the set of integral transportation matrices between two integral histograms r and c of equal sum is a positive definite kernel of r and c when the se...
Remarks on the positivity of densities of stable laws
Remarks the positivity of densities stable laws
2009/9/23
Remarks on the positivity of densities of stable laws。
Positivity of Brownian Transition Densities
Transition Densities Brownian Motion Eigenvalue Expansion Fine Topology Regular Points
2009/5/8
Let $B$ be a Borel subset of $R^d$ and let $p(t,x,y)$ be the transition densities of Brownian motion killed on leaving $B$. Fix $x$ and $y$ in $B$. If $p(t,x,y)$ is positive for one $t$, it is positiv...
Talagrand's positivity principle states that one can slightly perturb a Hamiltonian in the Sherrington-Kirkpatrick model in such a way that the overlap of two configurations under the perturbed Gibbs'...
We give a generalization in the non-compact case to various positivity theorems obtained by Malliavin Calculus in the compact case.