Colloquium di Matematica a Roma Tre:
Alexandre Stauffer
(University of Bath, UK)
Titolo: Random growth processes: dendritic formation and competition
Mercoledi' 21 Marzo 2018 ORE 16:00
Dipartimento di Matematica e Fisica
Universita' degli Studi Roma Tre
Aula F, primo piano, edificio Aule - Largo San Leonardo Murialdo,1
Abstract
During the 80's, several growth processes were introduced in the
physics literature with the goal of providing a simple and tractable
model producing the phenomenon of dendritic growth.
Such phenomenon is observed in several different contexts in nature,
including the growth of bacteria under starvation, crystal dendrite,
dielectric breakdown, and electrodeposition, and is characterized by
the formation of very ramified, fractal-like structures. Almost four
decades later, we still encounter tremendous mathematical challenges
in studying the geometric and dynamic properties of such processes,
and in understanding the driving mechanism lying behind the formation
of fractal-like structures. In this talk, I will survey the developments in
this field, giving
emphasis to recent results in the classical model of multi-particle
diffusion limited aggregation (MDLA). I will also introduce and
discuss a new growth process, which can be viewed as a model for the
growth of two species that compete for space, and which plays a key
role in our current understanding of MDLA. This is based on joint
works with Elisabetta Candellero and Vladas Sidoravicius.