A general framework for the rigorous computation of invariant densities and the coarse-fine strategy

S. Galatolo, M. Monge, I. Nisoli and F. Poloni

Chaos, Solitons & Fractals, 2023, vol. 170, issue C

Abstract: In this paper we present a general, axiomatical framework for the rigorous approximation of invariant densities and other important statistical features of dynamics. We approximate the system through a finite element reduction, by composing the associated transfer operator with a suitable finite dimensional projection (a discretization scheme) as in the well-known Ulam method.

Keywords: Invariant densities; Finite element reduction; Transfer operator; Coarse-fine strategy; Rigorous error bounds (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002308

DOI: 10.1016/j.chaos.2023.113329

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