Shape Theorem for the Brownian Frog Model

Shape Theorem for the Brownian Frog Model

###### Probability Seminar

#### Erin Beckman

**Thursday, October 12, 2017 -3:15pm to 4:15pm**

The frog model is a type of branching random walk model. Active "frogs" move according to random walks, and if they encounter a sleeping frog on their walk, the sleeping frog becomes active and begins an independent random walk. Over the past 20 years, recurrence properties and asymptotic behavior of this system (and many generalizations) have been studied extensively. One way to generalize this system is to consider the continuous version: Brownian motion frogs moving in R^d. In this talk, we will describe a continuous variant of the problem and show a limiting shape theorem analogous to prior discrete results.