Automatic Classification of Restricted Lattice Walks

Alin Bostan 1 Manuel Kauers 2
1 ALGORITHMS - Algorithms
Inria Paris-Rocquencourt
2 RISC - Research Institute for Symbolic Computation
Abstract : We propose an $\textit{experimental mathematics approach}$ leading to the computer-driven $\textit{discovery}$ of various conjectures about structural properties of generating functions coming from enumeration of restricted lattice walks in 2D and in 3D.
Keywords : Automated guessing lattice paths generating functions computer algebra enumeration
Type de document :
Communication dans un congrès
Krattenthaler, Christian and Strehl, Volker and Kauers, Manuel. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), pp.201-215, 2009, DMTCS Proceedings
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Alin Bostan, Manuel Kauers. Automatic Classification of Restricted Lattice Walks. Krattenthaler, Christian and Strehl, Volker and Kauers, Manuel. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), pp.201-215, 2009, DMTCS Proceedings. 〈hal-00780428〉

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