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- W4376988612 abstract "We show the power of Bruno Buchberger's seminal Groebner Basis algorithm, interfaced, seamlessly, with what we call symbolic dynamical programming, to automatically generate algebraic equations satisfied by the generating functions enumerating so-called Generalized Dyck Walks, i.e. 2D walks that start and end on the x-axis, and never dip below it, for an arbitrary set of steps. More impressively, we combine it with calculus (that Maple knows very well!), to automatically compute generating functions for the sum-of-the-areas of these generalized Dyck paths, and even for the sum of any given power of the areas, enabling us to get statistical information about the area under a random generalized Dyck path." @default.
- W4376988612 created "2023-05-18" @default.
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- W4376988612 date "2023-05-15" @default.
- W4376988612 modified "2023-09-29" @default.
- W4376988612 title "Using Symbolic Computation to Explore Generalized Dyck Paths and Their Areas" @default.
- W4376988612 doi "https://doi.org/10.48550/arxiv.2305.09030" @default.
- W4376988612 hasPublicationYear "2023" @default.
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