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The random walk to be considered takes place in the -  spherical dual of the group U(n + 1), for a xed nite dimensional irreducible  representation  of U(n). The transition matrix comes from the  three term recursion relation satised by a sequence of matrix valued  orthogonal polynomials built up from the irreducible spherical functions  of type  of SU(n + 1). One of the stochastic models is an urn model  and the other is a Young diagram model.Fil: Grunbaum, F.. University Of California Berkeley; Estados UnidosFil: Pacharoni, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Tirao, Juan Alfredo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentin

Two stochastic models of a random walk in the U(n)-spherical duals of U(n + 1)