论文标题
与灾难的偏斜堤防路径
Skew Dyck paths with catastrophes
论文作者
论文摘要
偏斜的Dyck路径就像Dyck路径一样,但是只要路径不相交,就允许额外的西南步骤$(-1,-1)$。带有灾难的晶格路径只能在一步之内从任何层次下降到原点。我们结合了这两个想法。该分析严格基于生成功能,并使用内核方法。
Skew Dyck paths are like Dyck paths, but an additional south-west step $(-1,-1)$ is allowed, provided that the path does not intersect itself. Lattice paths with catastrophes can drop from any level to the origin in just one step. We combine these two ideas. The analysis is strictly based on generating functions, and the kernel method is used.