Fractional contact model in the continuum
arXiv:1412.0205
Abstract
We consider the evolution of correlation functions in a non-Markov version of the contact model in the continuum. The memory effects are introduced by assuming the fractional evolution equation for the statistical dynamics. This leads to a behavior of time-dependent correlation functions, essentially different from the one known for the standard contact model.
To appear in "Methods of Functional Analysis and Topology"