SpecialityUniversità di Bari, IT

Transport Properties of the Lévy-Lorentz gasThe Lévy-Lorentz gas describes the one-dimensional motion of a particle among scattering points with heavy-tailed spacing. In this seminar I discuss the asymptotic transport properties of the Lévy-Lorentz gas assuming that the distances between scatterers are regularly varying at infinity with finite mean. In particular, I demonstrate that the motion is normal diffusive conditional on a typical realization of the scatterers arrangement, whereas it is superdiffusive under averaging over the environment. M. Zamparo, Large fluctuations and transport properties of the Lévy-Lorentz gas, Ann. Inst. H. Poincaré Probab. Statist. 59, 621-661 (2023)