4 papers
Powers of Brownian Green Potentials
Claude Dellacherie, Mauricio Duarte, Servet Martínez +2
In this article we study stability properties of , the standard Green kernel for an open regular set in . In we show that is again a Green kernel of…
Inverse M-matrix, a new characterization
Claude Dellacherie, Servet Martinez, Jaime San Martin
In this article we present a new characterization of inverse M-matrices, inverse row diagonally dominant M-matrices and inverse row and column diagonally dominant M-matrices, based…
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…
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…