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Algebraic entropy for algebraic maps

Hone, Andrew N.W. (2015) Algebraic entropy for algebraic maps. Journal of Physics A: Mathematical and Theoretical, 49 (2). ISSN 1751-8113. (doi:10.1088/1751-8113/49/2/02LT01)

Abstract

We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map. The definition inherits the basic properties from the definition of entropy for rational maps. We give an example with positive entropy, as well as two examples taken from the theory of Backlund transformations.

Item Type: Article
DOI/Identification number: 10.1088/1751-8113/49/2/02LT01
Projects: [UNSPECIFIED] Cluster algebras with periodicity and discrete dynamics over finite fields
Uncontrolled keywords: Algebraic entropy, algebraic maps, integrability tests.
Subjects: Q Science > QA Mathematics (inc Computing science) > QA564 Algebraic Geometry
Q Science > QA Mathematics (inc Computing science) > QA801 Analytic mechanics
Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Andrew N W Hone
Date Deposited: 14 Oct 2015 11:50 UTC
Last Modified: 29 May 2019 16:08 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/50984 (The current URI for this page, for reference purposes)
Hone, Andrew N.W.: https://orcid.org/0000-0001-9780-7369
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