Tensor-Based Theory for Quantized Piecewise-Affine Markov Systems: analysis of Some Map Families

摘要

In this paper we consider a tensor-based ap- proach to the analytical computation of higher-order expecta- tions of quantized trajectories generated by Piecewise Affine Markov (PWAM) maps. We formally derive closed-form expres- Sions for expectations of trajectories generated by three families Of maps, referred to as (n,t)-tailed shifts, (n,t)-broken identities And (n,t,π)-mixing permutations.