Seminario di Fisica Matematica e Probabilità

Mercoledì 7 marzo, ore 16:15, Aula di Consiglio, Dipartimento di Matematica, Roma La Sapienza

Speaker: Alessandra Occelli (Università di Bonn)

*Title: On time correlations for last passage percolation models* Abstract. We study time correlations of last passage percolation (LPP), a model in the Kardar-Parisi-Zhang universality class, with three different geometries: step, flat and stationary. We prove the convergence of the covariances of the LPP at two different times to a limiting expression given in terms of Airy processes. Furthermore, we prove the behaviour of the covariances when the two times are close to each other, conjectured in a work of Ferrari and Spohn.