The rigid rotator with Lévy noise

We have used an exact functional approach to solve a plane rotator in presence of Levy noise. The cosine relaxation has been calculated. Its non-autonomous generalization can also be solved in the context of our functional analysis.

[1]  K. B. Oldham,et al.  An Atlas of Functions. , 1988 .

[2]  A. A. Budini,et al.  The generalized Ornstein-Uhlenbeck process , 1997 .

[3]  Manuel O. Cáceres Lévy noise, Lévy flights, Lévy fluctuations , 1999 .

[4]  Heinrichs Probability distributions for second-order processes driven by Gaussian noise. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  M. Cáceres Harmonic potential driven by long-range correlated noise. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  Albert Compte,et al.  Fractional Dynamics in Random Velocity Fields , 1998 .