Noise composed of multiplication of two dichotomous noises

In this paper, we introduce a noise which is composed ofmultiplication of two dichotomous noises, and derive the probabilitydensity and the statistical properties of this noise. The obtainedresults can help study the resonant activation phenomenon, thephenomenon of stochastic resonance, the transport of particles, andthe nonequilibrium (phase) transition for the systems driven by thisnoise.