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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
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...
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...