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An Interacting Particle Model and a Pieri-Type Formula for the Orthogonal Group

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  • Manon Defosseux

    (Université Paris 5)

Abstract

We introduce a new interacting particle model with blocking and pushing interactions. Particles evolve on ℤ+ jumping on their own volition rightwards or leftwards according to geometric jumps with parameter q∈(0,1). We show that the model involves a Pieri-type formula for the orthogonal group. We prove that the two extreme cases—q=0 and q=1—lead, respectively, to the random tiling model studied in Borodin and Kuan (Commun. Pure Appl. Math. 67:831–894, 2010) and the random matrix model considered in forthcoming paper of Defosseux (Electr. Commun. Probab., 2012).

Suggested Citation

  • Manon Defosseux, 2013. "An Interacting Particle Model and a Pieri-Type Formula for the Orthogonal Group," Journal of Theoretical Probability, Springer, vol. 26(2), pages 568-588, June.
    • Handle: RePEc:spr:jotpro:v:26:y:2013:i:2:d:10.1007_s10959-012-0407-6
    DOI: 10.1007/s10959-012-0407-6
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