# Meeting Details

Title: Stability of Probabilistic Models Job Candidate Talk Christopher Hoffman Many probabilistic models are designed to explain objects we find in nature. Unfortunately it is almost always impossible to capture the intricacies of a physical system in a mathematically tractable model. So if our models are to do a good job of explaining what we see in nature, then it is important that the basic properties of our models persist under small perturbations. In this talk I will introduce three well study probabilistic models: simple random walk on ${\mathbb Z}^d$, percolation and Markov chains. I will describe their basic properties and examine how stable those properties are under small perturbations.