# CUNY Probability Seminar, Spring 2018

The CUNY Probability Seminar is typically held on Tuesdays from 4:15 to 5:15 pm at the CUNY Graduate Center Math Department. The exact dates, times and locations are mentioned below. If you want to talk at the seminar, or want to be added to/removed from the seminar mailing list, then please contact the Seminar Coordinator

Jack Hanson (http://jhanson.ccny.cuny.edu/)

Tuesday, February 6, 2018, 4:15 PM, Rm. 3307:

Speaker: Joshua Rosenberg, UPenn

Title: Invasion Percolation on Galton-Watson Trees

Abstract: This talk will focus on invasion percolation on Galton-Watson trees.  On almost every Galton-Watson tree, the invasion cluster almost surely contains only one infinite path.  This means that for almost every Galton-Watson tree, invasion percolation induces a probability measure on infinite paths from the root.  I will discuss our proof demonstrating that under certain conditions of the progeny distribution, this measure is absolutely continuous with respect to the limit uniform measure.  This confirms that invasion percolation, an efficient self-tuning algorithm, may be used to sample approximately from the limit uniform distribution.  Time permitting, I will also discuss a related result we achieved which involved proving a limit law for the forward maximal weights along the backbone of the invasion cluster.  This is based on joint work with Marcus Michelen and Robin Pemantle.

Tuesday, February 13, 4:15 PM, Rm. 3307:

Speaker:  Jay Rosen, CUNY (College of Staten Island)

Title: Tightness for the Cover Time of compact two dimensional manifolds

Abstract: Let $\CC^\ast_{\ep,M}$ denote the cover
time of the two dimensional compact manifold $M$ by
a Wiener sausage of radius $\ep$. We prove that
$$\sqrt{\CC^{\ast}_{\ep,M} } -\sqrt{\frac{2A_{M}}{\pi}}$$\log \ep^{-1}-\frac14\log\log \ep^{-1}$$$$ is tight, where $A_{M}$ denotes the Riemannian area of $M$.

Joint work with David Belius and Ofer Zeitouni

Tuesday, April 10, 4:15 PM, Rm. 3307:

Speaker: Arjun Krishnan, U. of Rochester

Title: TBA

Abstract: TBA

Tuesday April 24, 4:15 PM, Rm. 3307

Speaker: Guillaume Dubach

Title: TBA

Abstract: TBA