abstract:
Lecture 2:
Convergence results: The proofs
I will analyze three types of proofs and their associated convergence
criteria:
(1) The ``classical'' proof based on
tree-graph inequalities,
(2) inductive proofs putting analyticity first, and
(3) further improvements exploiting Penrose identity.
additional material:
Find here
the slides of Roberto Fernández' first lecture on February 8, 2008 (1MB).
abstract:
In my talk I will focus on the
modified version of DLA growth model, which was introduced at the same time
as the "classical DLA" of Sander and Witten.
The main difference is that in the modified DLA growth model multiple moving
particles can be present in the system at the same time.
I will discuss various mathematical problems related to the study of this
system.
Based on joint works with Harry Kesten.