Anomalous scaling of current fluctuations in interacting particle
The field of stochastic interacting particle systems is an interesting and actively developing area at the intersection of probability theory, statistical physics and most recently, combinatorics and asymptotic analysis. Despite the relatively simple local evolution rules these systems have, they often show surprisingly interesting behavior. As an instance, I will demonstrate that the number of particles that pass an observer who moves with some specific velocity fluctuates with the one third (!) power of time.
In the talk I will introduce a few models, and will prove (with some technical details omitted, of course) the above scaling. I will only need and use simple tools from elementary probability theory.