Solutions of the Multivariate Inverse Frobenius–Perron Problem

Show simple item record Lee, Jeong Fox, Colin Hsiao, Li-Jen 2021-07-13T21:47:11Z 2021-07-13T21:47:11Z 2021-6-30
dc.identifier.citation Entropy 23(7) 30 Jun 2021
dc.description.abstract We address the inverse Frobenius–Perron problem: given a prescribed target distribution ρ, find a deterministic map M such that iterations of M tend to ρ in distribution. We show that all solutions may be written in terms of a factorization that combines the forward and inverse Rosenblatt transformations with a uniform map; that is, a map under which the uniform distribution on the d-dimensional hypercube is invariant. Indeed, every solution is equivalent to the choice of a uniform map. We motivate this factorization via one-dimensional examples, and then use the factorization to present solutions in one and two dimensions induced by a range of uniform maps.
dc.relation.ispartofseries Entropy
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.
dc.title Solutions of the Multivariate Inverse Frobenius–Perron Problem
dc.type Journal Article
dc.identifier.doi 10.3390/e23070838
pubs.issue 7
pubs.volume 23 2021-06-30T08:44:47Z
dc.rights.holder Copyright: The authors en
dc.rights.accessrights en
pubs.subtype Article
pubs.elements-id 857748 2021-6-30

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