Abstract:
Ballistic deposition is a classical model for interface growth in which unit blocks fall down vertically at random on the different sites of Z and stick to the interface at the first point of contact, causing it to grow. We consider an alternative version of this model in which the blocks have random heights which are i.i.d. with a heavy (right) tail, and where each block sticks to the interface at the first point of contact with probability p (otherwise, it falls straight down until it lands on a block belonging to the interface). We study scaling limits of the resulting interface for the different values of p and show that there is a phase transition as p goes from 1 to 0. Joint work with Francis Comets and Joseba Dalmau.
Biography:
Santiago Saglietti is currently Assistant Professor at Pontificia Universidad Católica de Chile. He was a Visiting Assistant Professor at NYU Shanghai in 2020 and 2019. He obtained his PhD in 2014 from the Universidad de Buenos Aires in Argentina. He has worked in Buenos Aires as a Lecturer for Universidad de Buenos Aires and Universidad Torcuato Di Tella, and has also held postdoctoral research positions at the Pontificia Universidad Católica de Chile and the Technion Israel Institute of Science.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai