The role of the central limit theorem in discovering sharp rates of convergence to equilibrium for the solution of the Kac equation

Emanuele Dolera, Eugenio Regazzini

In Dolera, Gabetta and Regazzini [Ann. Appl. Probab. 19 (2009) 186-201] it is proved that the total variation distance between the solution $f(\cdot ,t)$ of Kac's equation and the G…