|May 25, 2016
|Department of Mathematical Sciences, University of Delaware
Random flight processes naturally arise as the Boltzmann-Grad limit of Lorentz gas models. Lorentz gases are notoriously difficult to analyze directly, so in order to study them one often studies the associated random flight process instead. Motivated by studying the effects of an external field on a Lorentz gas, we consider random flight processes in external fields. We will discuss results on determining transience versus recurrence for these processes as well as results showing how the external field influences the free path and the diffusive limit for these models. This is talk is based on joint work with Krzysztof Burdzy, Alexandru Hening, and Eric Wayman.