A Method For Inferring Hierarchical Dynamics In Stochastic Processes
Journal article, 2008

Complex systems may often be characterized by their hierarchical dynamics. In this paper we present a method and an operational algorithm that automatically infer this property in a broad range of systems discrete stochastic processes. The main idea is to systematically explore the set of projections from the state space of a process to smaller state spaces, and to determine which of the projections impose Markovian dynamics on the coarser level. These projections, which we call Markov projections, then constitute the hierarchical dynamics of the system. The algorithm operates on time series or other statistics, so a priori knowledge of the intrinsic workings of a system is not required in order to determine its hierarchical dynamics. We illustrate the method by applying it to two simple processes a finite state automaton and an iterated map.

Model reduction

Hierarchical dynamics

Coarse-graining

Author

Martin Nilsson Jacobi

Chalmers, Energy and Environment, Physical Resource Theory

Olof Görnerup

Chalmers, Energy and Environment, Physical Resource Theory

Advances in Complex Systems

0219-5259 (ISSN)

Vol. 11 1 1-16

Subject Categories

Physical Sciences

More information

Created

10/7/2017