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The random walk to be considered takes place in the d- spherical dual of thegroup U(n + 1), for a fixed finite dimensional irreducible representation d ofU(n). The transition matrix comes from the three term recursion relationsatisfied by a sequence of matrix valued orthogonal polynomials built up fromthe irreducible spherical functions of type d of SU(n + 1). One of thestochastic models is an urn model and the other is a Young diagram model.

Two Stochastic Models Of a Random Walk In The U(n)-Spherical Duals Of U(n + 1)