Displaying similar documents to “On the shuffling algorithm for domino tilings.”

Limits of determinantal processes near a tacnode

Alexei Borodin, Maurice Duits (2011)

Annales de l'I.H.P. Probabilités et statistiques

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We study a Markov process on a system of interlacing particles. At large times the particles fill a domain that depends on a parameter > 0. The domain has two cusps, one pointing up and one pointing down. In the limit ↓ 0 the cusps touch, thus forming a tacnode. The main result of the paper is a derivation of the local correlation kernel around the tacnode in the transition regime ↓ 0. We also prove that the local process interpolates between the Pearcey process and the GUE...