One World Probability Seminar Thursday 25th June 2020

Tomorrow's speakers in the One World Probability Seminar are

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15.00: Augusto Teixeira (Rio): Random walks on dynamical random environments
with non-uniform mixing (Part 1)

16.00: Marcelo Hilário (Belo Horizonte): Random walks on dynamical random
environments with non-uniform mixing (Part 2)

The first talk will be a non-technical introduction to the subject.

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Abstract: In these two consecutive talks we will discuss recent results on the
limiting behavior of random walks on dynamical random environments. The
strength of these results depends a great deal on space-time mixing properties
imposed to the environment but also on other features like the dimension and
the allowed transitions. In our case, we restrict ourselves to random walks
evolving on one-dimensional random environments given by conservative
interacting particle systems such as the simple symmetric exclusion process.
For this setting, conservation of particles leads to poor-mixing conditions
which complicates the applicability of some available tools. Our goal is to
explain how renormalization can be used to handle these difficulties in order
to obtain law of large numbers, large deviation estimates. The first talk will
be a non-technical introduction to the subject. In the second talk, we provide
a more detailed idea of how to prove the results.

All the results were obtained on several joint works with Oriane Blondel,
Frank den Hollander, Daniel Kious, Renato dos Santos and Vladas Sidoravicius.

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Please keep in mind that we are working with Central European summer time.

As always, the Zoom-room link will appear on the OWPS seminar webpage:
www.owprobability.org

But you can also link to it directly by clicking this link tomorrow:
https://us02web.zoom.us/j/86868081342

Meeting-ID: 868 6808 1342

Please feel free to circulate this email.

We hope to see you all tomorrow!
One World Probability Team

For the videos you can also subscribe to the Youtube or Bilibili channels:
https://www.youtube.com/channel/UCiLiEQGTp6bZEhuHDM-WNWQ
https://space.bilibili.com/151014650