Dear Colleagues,
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, A. Agazzi, G. Bet, A. Caraceni, F. Grotto, G. Zanco https://sites.google.com/unipi.it/spass https://sites.google.com/unipi.it/spass -------------------------------------------- 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).