# Mathematics Colloquium

Last updated: 2019/01/16 - 6:10am

#### Parabolic Harnack inequalities on metric measure spaces

##### Janna Lierl (University of Connecticut)
Thursday, January 17 - 3:15 pm
119 Physics

Parabolic PDE's describe time-dependent phenomena such as heat conduction or particle diffusion. Parabolic Harnack inequalities relate these phenomena to the geometry of the space. The relevance of...

#### Mixing times and the cutoff phenomenon.

##### Evita Nestoridi (Princeton University)
Monday, January 21 - 12:00 pm
119 Physics

Markov chains are random processes that retain no memory of the past. The mixing time of a Markov chain is the time it takes for it to reach equilibrium. During the last three decades, there has been...

Let $G=G(N,p)$ be an Erd\H{o}s--R\'enyi graph on $N$ vertices (where each pair is connected by an edge independently with probability $p$). We view $N$ as going to infinity, with $p$ possibly going to...