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

Manon Defosseux ()
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Manon Defosseux: Université Paris 5

Journal of Theoretical Probability, 2013, vol. 26, issue 2, 568-588

Abstract: 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).

Keywords: Interacting particle model; Random matrices; Random tiling; Representation theory; 60J10; 17B10 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10959-012-0407-6

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