Return to Colloquia & Seminar listing
The spectral gap for the zero range process with constant rate.
Student-Run Research Seminar| Speaker: | Ben Morris, UC Davis |
| Location: | 2112 MSB |
| Start time: | Wed, Jan 25 2006, 12:10PM |
The zero range process with constant rate can be described as follows. Particles are distributed over the vertices of the d-dimensional torus. Each vertex has a clock that rings at rate one. When the clock of a (nonempty) vertex rings, a particle moves from that vertex to a randomly chosen neighbor. We obtain a tight bound for the spectral gap of this process, solving an open problem.