One World Probability Seminar Thursday 2nd July 2020:

PLEASE NOTE WE ARE EXPERIMENTING WITH A NEW TIME:
OWPS WILL START 1HR LATER THAN USUAL AT 1400 UTC

Tomorrow's speakers in the One World Probability Seminar are

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14.00 UTC: Ron Peled (Tel Aviv): Fluctuations of random surfaces and
concentration inequalities for log-concave distributions

Abstract: Random surfaces in statistical physics are commonly modeled by a
real-valued function on a d-dimensional lattice, whose probability density
penalizes nearest-neighbor fluctuations according to an interaction potential
U. The case U(x)=x^2 is the well-studied lattice Gaussian free field, while
one-dimensional random surfaces are equivalent to random walks. Our focus is
on dimensions d>=2 and general U. Brascamp-Lieb-Lebowitz conjectured in 1975
that such random surfaces are localized in dimensions d>=3 under mild
assumptions on U. Their work establishes the conjecture when U is uniformly
convex (its second derivative is uniformly bounded from zero), as a
consequence of the Brascamp-Lieb concentration inequality. To date, this
remains the main case for which the conjecture is verified, with the result
missing even when U(x) = x^4. We establish new concentration inequalities for
log-concave distributions, extending the Brascamp-Lieb inequality, and use
them to prove localization in many new cases, including the family U(x) = |x|
^p with p>1. Further consequences regard the maximum height for a class of
random surfaces discussed by Deuschel-Giacomin (2000).

The talk will be a gentle introduction to the model and the results. No prior
knowledge of random surfaces or log-concave distributions will be assumed.
Joint work with Alexander Magazinov.

15.00: UTC Omer Angel (Vancouver): Excited martingales

Abstract: We consider a random walk that moves in the Z^2 that moves
vertically on the first visit to each site and horizontally on subsequent
visits. We give new lower bounds on the growth of the range of such walks.
Joint with Mark Holmes and Alejandro Ramirez.

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As always, the Zoom-room link will appear on the OWPS seminar webpage:
https://www.owprobability.org/one-world-probability-seminar


But you can also link to it directly by clicking this link tomorrow:
https://us02web.zoom.us/j/83512390999

Meeting-ID:  835 1239 0999

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

and

https://space.bilibili.com/151014650