[ABE-L] Próximo seminário (online) de Probabilidade - 18/01

[Maria Eulalia Vares]

*Probability Webinar -   IM-UFRJ *



Dear colleagues,

Our next online seminar will be held on Monday, *January 18*, from *3 p.m.
to 4 p.m*. (Rio de Janeiro local time)

The GoogleMeet link for the seminar is  https://meet.google.com/uew-ehhn-kby




Speaker:  *Daniel Remenik (Universidad de Chile)*

Title: *Non-intersecting Brownian motions with outliers, KPZ fluctuations
and random matrices*

Abstract:  A well known result implies that the rescaled maximal height of
a system of N non-intersecting Brownian bridges starting and ending at the
origin converges, as N goes to infinity, to the Tracy-Widom GOE random
variable from random matrix theory. In this talk I will focus on the same
question in case where the top m paths start and end at arbitrary
locations. I will present several related results about the distribution of
the limiting maximal height for this system, which provides a deformation
of the Tracy-Widom GOE distribution: it can be expressed through a Fredholm
determinant formula and in terms of Painlevé transcendents; it corresponds
to the asymptotic fluctuations of models in the KPZ universality class with
a particular initial condition; and it is connected with two PDEs, the KdV
equation and an equation derived by Bloemendal and Virag for spiked random
matrices. Based on joint work with Karl Liechty and Gia Bao Nguyen





All the talks are held in English.


We take the opportunity to inform that the videos of the online seminars
held during 2020 are available at http://www.dme.ufrj.br/?page_id=2885

For the 2021 series, a few days after each meeting the video should be
available at http://www.dme.ufrj.br/?page_id=3027



Thanks for circulating this information.

Sincerely,
Organizers: Guilherme Ost and Maria Eulalia Vares
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