Dear Colleagues,
We would like to invite you to the following Probability seminar
that will take place on June 05 at 11 by the zoom platform.
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Speaker: Giuseppe Cannizzaro (University of Warwick)
Title: A new Universality Class in (1+1)-dimensions: the Brownian Castle
05 JUNE (Friday) - 11:00 - zoom link: TBA
The link and password to access the seminar will be available at the following webpage
Abstract:
In the context of randomly fluctuating interfaces in (1+1)-dimensions two Universality Classes
have generally been considered, the Kardar-Parisi-Zhang and the Edwards-Wilkinson.
Models within these classes exhibit universal fluctuations under 1:2:3 and 1:2:4 scaling respectively.
Starting from a modification of the classical Ballistic Deposition model we will show that this picture
is not exhaustive and another Universality Class, whose scaling exponents are 1:1:2, has to be taken into account.
We will describe how it arises, briefly discuss its connections to KPZ and introduce a new stochastic process,
the Brownian Castle, deeply connected to the Brownian Web, which should capture the large-scale behaviour
of models within this Class. This talk is based on a joint ongoing work with Martin Hairer.