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Transition in the decay rates of stationary distributions of Lévy motion in an energy landscape

Transition in the decay rates of stationary distributions of Lévy motion in an energy landscape

The time evolution of random variables with L\'evy statistics has the ability to develop jumps, displaying very different behaviors from continuously fluctuating cases. Such patterns appear in an ever broadening range of examples including random lasers, non-Gaussian kinetics, or foraging strategies. The penalizing or reinforcing effect of the environment, however, …