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.