Elementary exact calculations of degree growth and entropy for discrete equations.
Elementary exact calculations of degree growth and entropy for discrete equations.
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DOI：
10.1098/rspa.2016.0831
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发表时间：
2017-05
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影响因子：
--
通讯作者：
Halburd RG
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文献类型：
--
作者：
Halburd RG
二阶离散方程是在有理函数 领域中研究的，其中 z 是方程中未出现的变量。即使奇点不受限制，也可以使用奇点限制分析中出现的标准计算轻松计算作为 z 函数的每次迭代的精确度。这产生了基本但严格的熵计算。
Second-order discrete equations are studied over the field of rational functions , 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.