Sequent correlations in evolutionary stochastic point processes and its application to cascade theories

Abstract

Sequent correlations in multiplicative stochastic processes are defined with the aid of product densities associated with the process. Such sequent correlations describe the process in a more detailed manner than the conventional correlations especially with regard to the parametric values characterizing the process. The evolution of any particular member of the multiplicative entities in the parameter is brought out by the sequent correlations. It is found that such types of correlation functions are very useful in the description of electromagnetic and perhaps nucleon cascades. To demonstrate this possibility, correlation functions of the first few orders are evaluated for the simple case of electron-photon cascade.