Physical Mathematics

On Discretizations of the Generalized Boole Type Transformations and their Ergodicity

Abstract

Prykarpatski AK

There is studied an analytical discretization of the generalized Boole type transformations in ℝn and their ergodicity properties.The fixed points of the corresponding finite-dimensional stochastic Frobenius-Perron operator discretization are constructed, the structure of the related invariant measures is analyzed.