Dept Banner
Dept Banner


Download as iCal file

Discrete Math

The frog model on trees

Location:  Hill 705
Date & time: Monday, 19 September 2016 at 2:00PM - 2:11PM

Toby Johnson, NYU: Imagine that every vertex of a graph contains a sleeping frog. At time 0, the frog at one vertex wakes up and begins a simple random walk. When it moves to a new vertex, the sleeping frog there wakes up and begins its own simple random walk, which in turn wakes up any sleeping frogs it lands on, and so on. This process is called the frog model, and many basic questions about it remain open.I'll talk about the frog model on infinite trees, where the process exhibits some interesting phase transitions. In particular, I'll (mostly) answer a question posed by Serguei Popov in 2003 by showing that on a binary tree, all frogs wake up with probability one, while on a 5-ary or higher tree, some frogs remain asleep with probability one. This work is joint with Christopher Hoffman and Matthew Junge.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530