On the nature of the generating series of walks in the quarter plane

Author:

Dreyfus Thomas,Hardouin Charlotte,Roques Julien,Singer Michael F.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference24 articles.

1. Bernardi, O., Bousquet-Mélou, M., Raschel, K.: Counting quadrant walks via Tutte’s invariant method (extended abstract), to appear in Proceedings of FPSAC 2015, Discrete Mathematics and Theoretical Computer Science (2016)

2. Bousquet-Mélou, M., Mishna, M.: Walks with small steps in the quarter plane. In: Algorithmic Probability and Combinatorics, Contemporary Mathematics, vol. 520, pp. 1–39. American Mathematical Society, Providence (2010)

3. Bostan, A., Raschel, K., Salvy, B.: Non-D-finite excursions in the quarter plane. J. Comb. Theory Ser. A 121, 45–63 (2014)

4. Bostan, A., van Hoeij, M., Kauers, M.: The complete generating function for Gessel walks is algebraic. Proc. Am. Math. Soc. 138(9), 3063–3078 (2010)

5. Cox, D.A., Little, J., O’Shea, D.: Using algebraic geometry. In: Graduate Texts in Mathematics, vol. 185, 2nd edn. Springer, New York (2005)

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