Abstract
Second-order discrete equations are studied over the field of rational functions
C
(
z
)
, where
z
is a variable not appearing in the equation. The exact degree of each iterate as a function of
z
can be calculated easily using the standard calculations that arise in singularity confinement analysis, even when the singularities are not confined. This produces elementary yet rigorous entropy calculations.
Funder
Engineering and Physical Sciences Research Council
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Cited by
13 articles.
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