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Regarding a Representation-Theoretic Conjecture of Wigderson
Representation-Theoretic Conjecture of Wigderson
2010/12/9
We show that there exists a family of irreducible representations ri (of finite groups Gi) such that,for any constant t, the average of ri over t uniformly random elements g1, . . . ,gt ∈ Gi has opera...
Bi-presymplectic representation of Liouville integrable systems and related separability theory
Bi-presymplectic representation Liouville integrable systems related separability theory
2010/12/15
Bi-presymplectic chains of one-forms of arbitrary co-rank are considered. The conditions in which such chains represent some Liouville integrable systems and the conditions in which there exist relate...
Martingale representation for Poisson processes with applications to minimal variance hedging
Poisson process martingalerep resentation Clark-Ocone formula derivative operator Kunita-Watanabe decomposition Malliavin calculus independent random measure minimal variance hedge
2010/4/27
We consider a Poisson process $\eta$ on a measurable space $(\BY,\mathcal{Y})$ equipped with a partial ordering, assumed to be strict almost everwhwere with respect to the intensity measure $\lambda$ ...
Matricial representation of period doubling cascade
period doubling cascade inverse permutation
2010/4/1
Starting from the cycle permutation sigma_(2^k) associated with the (2^k)-periodic orbit of the period doubling cascade we obtain the inverse permutation (sigma_(2^k))^-1. Then we build a matrix permu...