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math.PR2007
Ultrametric and tree potential
Claude Dellacherie, Servet Martinez, Jaime San Martin
We study infinite tree and ultrametric matrices, and their action on the boundary of the tree. For each tree matrix we show the existence of a symmetric random walk associated to i…
math.PR2006
Hadamard functions of inverse M-Matrices
Claude Dellacherie, Servet Martinez, Jaime San Martin
We prove that the class of GUM matrices is the largest class of bi-potential matrices stable under Hadamard increasing functions. We also show that any power greater than 1, in the…