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