[ABE-L] Próximo seminário (online) de probabilidade - 24/05 - 15h

[Maria Eulalia Vares]

*Probability Webinar -   IM-UFRJ *



Dear colleagues,

Our next online seminar will be held on Monday, *May 24, * 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:   *Roberto Imbuzeiro Oliveira (IMPA)*

Title: *Reversible Markov chains with nonnegative spectrum*

Abstract:  The title of the talk corresponds to a family of interesting
random processes, which includes lazy random walks on graphs and much
beyond them. Often, a key step in analysing such processes is to estimate
their spectral gaps (ie. the difference between two largest eigenvalues).
It is thus of interest to understand what else about the chain we can know
from the spectral gap. We will present a simple comparison idea that often
gives us the best possible estimates. In particular, we re-obtain and
improve upon several known results on hitting, meeting, and intersection
times; return probabilities; and concentration inequalities for time
averages. We then specialize to the graph setting, and obtain sharp
inequalities in that setting. This talk is based on work that has been in
progress for far too long with Yuval Peres.



All the talks are held in English.

The videos of the online seminars held in 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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