Invited Speaker - Maria Eulália Vares
(CBPF)
Title:
Randomized poly-nuclear growth with a
columnar defect
Abstract:
In this talk
we examine a variant of the poly-nuclear growth model where
the level boundaries perform continuous-time, discrete-space
random walks. We examine how its asymptotic behavior is
affected by the presence of a columnar defect on the line,
proving that there is a non-trivial phase transition in the
strength of the perturbation, above which the law of large
numbers for the height function is modified.
The talk is largely based on recent work in collaboration with Vincent Beffara
and
Vladas Sidoravicius (to appear in Probability Theory and Related Fields).
