We would like to invite you to the following
SPASS seminar, jointly organized by UniPi, SNS, UniFi and UniSi:
Chaos and concentration in spatial growth models
by Matteo Sfragara (Stockholm University)
The seminar
will take place on TUE, 27.02.2024 at 14:00 CET in Aula Tricerri,
Dipartimento di Matematica e Informatica "Ulisse Dini", UNIFI and streamed online at the link which you can find in the seminar website below.
The organizers,
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Abstract: A
decade and a half ago Chatterjee established the first rigorous
connection between anomalous fluctuations (superconcentration) and a
chaotic behaviour of the ground state in certain Gaussian disordered
systems. We study the connection between chaos and concentration in
spatial growth models, like first-passage percolation (FPP) and
last-passage percolation (LPP), and we prove that they exhibit a chaotic
behaviour. This extends previous work on the topic, and illustrates
that this is a phenomenon that can be expected more widely. The notion
of ‘chaos' refers to the sensitivity of the optimal path (geodesic) when
exposed to a slight perturbation. In FPP on Z^d the geodesic is the
time-minimizing path from the origin to a vertex v, while in LPP on the
square lattice [0,n]^2 the geodesic is the weight-maximizing up-right
path from (0,0) to (n,n). This talk is based on two joint works with
Daniel Ahlberg and Mia Deijfen (Stockholm University).