The seminar is sponsored by NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai.
Abstract:
We introduce a two-type internal aggregation model where the particles (oil particles and water particles) perform the following process on Z. Starting from n oils and n waters at the origin, inductively if at a vertex x in Z there are both oil and water particles, then x fires one oil and one water: each particle (independently) takes one step according to simple random walk. Firing continues until at each vertex there is at most one type of particles. We establish the correct order for several statistics of the model, and identify the scaling limit under assumption of existence.
This seminar is joint work with S. Ganguly, C. Hoffman and L. Levine.
Biography:
Elisabetta Candellero is a Harrison Early Career Assistant Professor in the Department of Statistics at the University of Warwick. She was a research fellow at the University of Warwick, and prior to that she was a postdoc at Birmingham, working with Nikolaos Fountoulakis on properties of random geometric graphs on hyperbolic spaces. Her areas of research are probability theory, analysis, and combinatorics.