Local Limit Theorem for the Lorentz Process and Its Recurrence in the Plane
Local Limit Theorem for the Lorentz Process and Its Recurrence in the Plane
For Young systems, i.e. for hyperbolic systems without/with singularities satisfying Lai-Sang Young's axioms (which imply exponential decay of correlation and the CLT) a local CLT is proven. In fact, a unified version of the local CLT is found, covering among others the absolutely contionuous and the arithmetic cases. For the …