Probability Seminar

Monday, September 16, 2019 at 4:15pm to 5:15pm

Building 2, 2-147
182 MEMORIAL DR, Cambridge, MA 02139

Olivier Bernardi (Brandeis)

"Percolation on triangulations, and a bijective path to Liouville quantum gravity"

I will discuss the percolation model on planar triangulations, and present a bijection that is key to relating this model to some fundamental probabilistic objects.  

I will attempt to achieve several goals:

1. Present the site-percolation model on random planar triangulations.
2. Provide an informal introduction to several probabilistic objects: the Gaussian free field, Schramm-Loewner evolutions, and the Brownian map.
3. Present a bijective encoding of percolated triangulations by certain lattice paths, and explain its role in establishing exact relations between the above-mentioned objects.

This is joint work with Nina Holden, and Xin Sun. ​






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prob_sem, harmonjo

Department of Mathematics
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