Algebraic entropy for algebraic maps

作者:Hone A N W*; Ragnisco Orlando; Zullo Federico
来源:Journal of Physics A-Mathematical and Theoretical, 2016, 49(2): 02LT01.
DOI:10.1088/1751-8113/49/2/02LT01

摘要

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.

  • 出版日期2016-1