Explore a 56-minute conference talk on the generalized law of iterated logarithm in the infinite horizon Lorentz gas, presented by Peter Balint at the Workshop on "Rare Events in Dynamical Systems" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into the complex interplay between strongly chaotic dynamics and long flights that characterizes the infinite horizon Lorentz gas. Examine how this interplay affects the non-standard scaling in the limit theorem for the billiard particle's position. Discover recent results that naturally extend the almost sure invariance principle and the law of iterated logarithm to this setting. Gain insights into this collaborative work with Dalia Terhesiu, exploring advanced concepts in dynamical systems and probability theory.