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arxiv: 1310.0701 · v1 · pith:HR2OTBVPnew · submitted 2013-10-02 · 🧮 math.PR · math-ph· math.MP

On L\'evy's Brownian motion indexed by the elements of compact groups

Paolo Baldi , Maurizia Rossi This is my paper
classification 🧮 math.PR math-phmath.MP
keywords browniancompactdefinitenesselementsgroupgroupsindexedinvestigate
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We investigate positive definiteness of the Brownian kernel K(x,y)=1/2(d(x,x_0) + d(y,x_0) - d(x,y)) on a compact group G and in particular for G=SO(n).

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