exponents for the avalanche size and the duration distributions analytically as a function of γ and η by using the branching …

We prove a functional limit theorem for the rescaled occupation time fluctuations of a (d, , )- branching particle … system (particles moving in Rd according to a symmetric -stable L´evy process, branching law in the domain of attraction of a … the case of finite variance branching ( = 1), and another one for d/(d + ), where the long range dependence depends on the …

We prove limit theorems for rescaled occupation time fluctuations of a (d, , )-branching particle system (particles … moving in Rd according to a spherically symmetric -stable L´evy process, (1 + )- branching, 0 < < 1, uniform Poisson initial …

threshold height of a node i is set as ki1−η with 0⩽η<1, where ki is the degree of node i. Using the branching process approach …

fluctuations of branching particle systems for h >= 1 and we exhibit the long memory effect of the initial condition. …

systems with or without branching, and we study their properties. Some long-range dependence non-Gaussian processes that …