1. [1] Bernardi, Olivier; Bousquet-Mélou, Mireille; Raschel, Kilian Counting quadrant walks via Tutte’s invariant method (2017) (https://arxiv.org/abs/1708.08215)
2. [2] Bostan, Alin; Bousquet-Mélou, Mireille; Kauers, Manuel; Melczer, Stephen On 3-dimensional lattice walks confined to the positive octant, Ann. Comb., Tome 20 (2016) no. 4, pp. 661-704
3. [3] Bostan, Alin; Kauers, Manuel The complete generating function for Gessel walks is algebraic, Proc. Am. Math. Soc., Tome 138 (2010) no. 9, pp. 3063-3078 (With an appendix by Mark van Hoeij)
4. [4] Bostan, Alin; Raschel, Kilian; Salvy, Bruno Non-D-finite excursions in the quarter plane, J. Comb. Theory, Ser. A, Tome 121 (2014), pp. 45-63
5. [5] Bousquet-Mélou, Mireille; Mishna, Marni Walks with small steps in the quarter plane, Algorithmic probability and combinatorics (Contemporary Mathematics) Tome 520, American Mathematical Society, 2010, pp. 1-39