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An interacting particles model and a Pieri-type formula for the orthogonal group
interacting particles model Pieri-type formula orthogonal group
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2011/1/17
We introduce a new interacting particles model with blocking and pushing interactions. Particles evolve on the positive line jumping on their own volition rightwards or leftwards according to geometri...
Combinatorial aspects of orthogonal group integrals
orthogonal group math
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2010/11/17
We study the integrals of type $I(a)=\int_{O_n}\prod u_{ij}^{a_{ij}}\,du$, depending on a matrix of exponents $a\in M_{p\times q}(\mathbb N)$, whose exact computation is an open problem. Our results a...