Random Finite-valued Dynamical Systems Additive Markov Chain Approach

This volume reviews one of the topical areas of research on random discrete dynamic systems from the common standpoint of multistep Markov chains. The authors present a new efficient tool for studying the random systems with a long-range memory which enables a number of crucial theoretical and applications issues to be solved. The proposed methods of constructing sequences with prescribed correlation properties make it possible to design real physical systems (antennas, waveguides, diffraction gratings, multilayered systems) with required spectral characteristics. The problem of generating random sequences is closely linked to forecasting. Therefore this book provides a useful reference for graduates, researchers and professionals in the study of prediction issues in meteorology, sociology, economics and financial areas (technical analysis for traders).