Extreme diffusion
Abstract
Diffusion phenomena are ubiquitous in nature and have been studied theoretically for more than a century. Still, the influence of a random environment on diffusion is not very well understood. I will discuss about the simplest possible model of diffusion in random environment: a simple random walk. We will see that using methods coming from integrable systems, one can relate the extreme statistics of diffusive particles in random environment to an area of Statistical Physics called the Kardar-Parisi-Zhang universality class.