Elements of stochastic analysis for the case of Grassmann variables. I. Grassmann stochastic integrals and random processes

This paper is the first part of a study of an approach to the definition of analogs of the concepts of classical stochastic analysis such as a stochastic integral, a random process, a stochastic differential equation, etc., for the case of Grassmann variables in a certain particular situation. Analogs of stochastic integrals and random processes are studied in the first part.