31 citations · 49 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2017★ 11 cited
Lévy flights in the presence of a point sink of finite strength
Deepika Janakiraman
In this paper, the absorption of a particle undergoing Lévy flight in the presence of a point sink of arbitrary strength and position is studied. The motion of such a particle is g…
cond-mat.stat-mech2014★ 7 cited
Unusual eigenvalue spectrum and relaxation in the Lévy Ornstein-Uhlenbeck process
Deepika Janakiraman, K. L. Sebastian
We consider the rates of relaxation of a particle in a harmonic well, subject to Lévy noise characterized by its Lévy index . Using the propagator for this Lévy Ornstein-Uhlenbe…
cond-mat.stat-mech2012★ 31 cited
Path Integral Formulation for Lévy Flights - Evaluation of the Propagator for Free, Linear and Harmonic Potentials in the Over- and Underdamped Limits
Deepika Janakiraman, K. L. Sebastian
Lévy flights can be described using a Fokker-Planck equation which involves a fractional derivative operator in the position co-ordinate. Such an operator has its natural expressio…