Abstract:
The BBM is a system of particles performing independent Brownian motions such that at rate 1 each particle branches creating a new particle at its current site. In the NBBM, only N particles are kept by erasing the leftmost particle at each branching event. This process was proposed by Brunet and Derrida in the 90's and studied recently by Maillard. We show that the empirical measure of the particles at time t converges as N goes to infinity to a measure with density u(r,t), the solution of a pde with a free boundary. Joint work with Anna De Masi, Pablo Ferrari and Errico Presutti.
Biography:
Nahuel Soprano-Loto is a Postdoc at University of Buenos Aires under the supervision of Pablo Groisman. He obtained his Ph.D. at the same university under the supervision of Pablo Ferrari and Inés Armendáriz. He was also a Postdoc at the Gran Sasso Science Institute under the supervision of Errico Presutti. His main research is mathematical statistical mechanics and interacting particle systems.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai