This is a reminder that tomorrow (Thursday 8) at 14:00, prof. Elena Pulvirenti (TU Delft) will give a virtual seminar “in Florence”, to which you are all invited. You can find title and abstract below.
Title: Metastability for the dilute Curie-Weiss model with Glauber dynamics
Abstract:
We analyse the metastable behaviour of the dilute Curie–Weiss model subjectto a Glauber dynamics. The model is a random version of a mean-field Ising model,
where the coupling coefficients are replaced by i.i.d. random coefficients, e.g.
Bernoulli random variables with fixed parameter p. This model can be also viewed
as an Ising model on the Erdos–Renyi random graph with edge probability p.
The system is a Markov chain where spins flip according to a Metropolis dynamics
at inverse temperature \beta. We compute the average time the system takes to reach
the stable phase when it starts from a certain probability distribution on the metastable
state (called the last-exit biased distribution), in the regime where the system size goes
to infinity, the inverse temperature is larger than 1 and the magnetic field is positive and
small enough. We obtain asymptotic bounds on the probability of the event that the
mean metastable hitting time is approximated by that of the Curie–Weiss model.
The proof uses the potential theoretic approach to metastability and concentration
of measure inequalities. This is a joint collaboration with Anton Bovier (Bonn) and
Saeda Marello (Bonn).
The seminar will be on Zoom. You can find the information to join below.
Time: Jul 8, 2021 02:00 PM Rome
Join Zoom Meeting
Meeting ID: 868 7705 6843
Passcode: 909528
If you know of someone who might be interested and is not subscribed to the random mailing list, please do not hesitate to forward this announcement to them.
Kind regards,
Gianmarco
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Gianmarco Bet (he/him)
Junior researcher
https://gianmarco.betPhone: (+39) 055 2751491
Department of Mathematics and Informatics "U. Dini"
University of Florence
Viale Morgagni, 65
50134 Firenze, Italy
Office 64
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