Hone, Andrew N.W. (2015) Algebraic entropy for algebraic maps. Journal of Physics A: Mathematical and Theoretical, 49 (2). ISSN 17518113. (doi:10.1088/17518113/49/2/02LT01) (KAR id:50984)
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Official URL http://dx.doi.org/10.1088/17518113/49/2/02LT01 
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:  10.1088/17518113/49/2/02LT01 
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 Hone 
Date Deposited:  14 Oct 2015 11:50 UTC 
Last Modified:  06 Feb 2020 04:13 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/0000000197807369 
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