dc.contributor.author |
Lee, Jeong |
|
dc.contributor.author |
Fox, Colin |
|
dc.contributor.author |
Hsiao, Li-Jen |
|
dc.date.accessioned |
2021-07-13T21:47:11Z |
|
dc.date.available |
2021-07-13T21:47:11Z |
|
dc.date.issued |
2021-6-30 |
|
dc.identifier.citation |
Entropy 23(7) 30 Jun 2021 |
|
dc.identifier.uri |
https://hdl.handle.net/2292/55525 |
|
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.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
|
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 |
|
dc.date.updated |
2021-06-30T08:44:47Z |
|
dc.rights.holder |
Copyright: The authors |
en |
pubs.author-url |
https://www.mdpi.com/1099-4300/23/7/838 |
|
dc.rights.accessrights |
http://purl.org/eprint/accessRights/OpenAccess |
en |
pubs.subtype |
Article |
|
pubs.elements-id |
857748 |
|
pubs.online-publication-date |
2021-6-30 |
|