Basis Markov Partitions and Transition Matrices for Stochastic Systems
Basis Markov Partitions and Transition Matrices for Stochastic Systems
We analyze discrete-time dynamical systems subjected to an additive noise and their deterministic limit. In this work, we will introduce a notion by which a discrete-time stochastic system has something like a Markov partition for deterministic systems. For a chosen class of noise profiles, the Frobenius–Perron (FP) operator associated to …