论文标题
马尔可夫数字的概括
A Generalization of Markov Numbers
论文作者
论文摘要
我们探讨了马尔可夫数字的概括，该概括是由Chekhov和Shapiro的特定特定的广义群集代数引起的。我们给出了一种用于计算这些广义马尔可夫数字的明确算法，并表现出类似于普通马尔可夫数字的几种模式。在此过程中，我们介绍了与持续分数和蛇形图有关的公式。
We explore a generalization of the Markov numbers that is motivated by a specific generalized cluster algebra arising from an orbifold, in the sense of Chekhov and Shapiro. We give an explicit algorithm for computing these generalized Markov numbers and exhibit several patterns analogous to those that appear within the ordinary Markov numbers. Along the way, we present formulas related to continued fractions and snake graphs.
