MERCOLEDI' 24 GIUGNO, PRESSO IL DIPARTIMENTO DI MATEMATICA DELLA SAPIENZA,
VI SARANNO 2 SEMINARI DI PROBABILITA', CO-ORGANIZZATI DA ROMA1 E ROMA3.
Riporto sotto i dettagli
Grazie per l'attenzione
Alessandra Faggionato
Mercoledi' 24 Giugno, ore 14:30
Aula Picone, Dipartimento di Matematica (La Sapienza)
Seminario congiunto di Probabilita' (Roma1 e Roma 3)
Speaker: Vittoria Silvestri (Cambdrige)
Title: Fluctuation results for Hastings-Levitov planar growth
Abstract: In 1998 the physicists Hastings and Levitov introduced a family
of continuum models to describe a range of physical phenomena of
planar aggregation/diffusion. These consist of growing random clusters on
the complex plane, which are built by iterated composition of
random conformal maps. It was shown by Norris and Turner (2012) that in
the case of i.i.d. maps the limiting shape of these clusters is a disc:
in this talk I will show that the fluctuations around this shape are given
by a random holomorphic Gaussian field F on {|z| > 1}, of which I will
provide an explicit construction. When the cluster is allowed to grow
indefinitely, I will show that the boundary values of F converge to a
distribution-valued Fractional Gaussian Field on the unit circle, which is
log-correlated, and critical in a sense that I will explain.
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Mercoledi' 24 Giugno, ore 15:30
Aula Picone, Dipartimento di Matematica (La Sapienza)
Seminario congiunto di Probabilita' (Roma1 e Roma 3)
Speaker: Oriane Blondel (Lione)
Title: Random walk on the East model (and other environments with spectral
gap)
Abstract: The East model is a one-dimensional interacting particle system
with non attractive spin-flip dynamics. In the physics literature, it is a
key example of a model with glassy features. Here we take this model as a
random environment and investigate the behaviour of a random walk whose
jump rates depend on the current configuration. The analysis relies on
general results established for random walks in random environment when the
environment is Markovian with positive spectral gap.
Joint work with Luca Avena and Alessandra Faggionato.
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Prof. Alessandra Faggionato
Department of Mathematics
University La Sapienza
Piazzale A. Moro, 2
00186 Rome - Italy