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math.PR2009
Hoeffding spaces and Specht modules
Giovanni Peccati, Jean-Renaud Pycke
It is proved that each Hoeffding space associated with a random permutation (or, equivalently, with extractions without replacement from a finite population) carries an irreducible…
math.PR2005★ 6 cited
Decompositions of stochastic processes based on irreductible group representations
Giovanni Peccati, Jean-Renaud Pycke
Let G be a topological compact group acting on some space Y. We study a decomposition of Y-indexed stochastic processes, based on the orthogonality relations between the characters…