@incollection{KaYa-15,
 author = {Kauers, Manuel and Yatchak, Rika},
 title = {Walks in the quarter plane with multiple steps},
 booktitle = {Proceedings of FPSAC 2015, Daejeon, South Korea},
 pages = {25--36},
 year = {2015},
 publisher = {Discrete Mathematics \& Theoretical Computer Science (DMTCS)},
 language = {English},
 keywords = {05A15,60J10},
 zbMATH = {6577211},
 Zbl = {1335.05012}
}


@Book{Hu-90,
 Author = {Humphreys, James E.},
 Title = {Reflection groups and {Coxeter} groups},
 FSeries = {Cambridge Studies in Advanced Mathematics},
 Series = {Camb. Stud. Adv. Math.},
 Volume = {29},
 ISBN = {0-521-37510-X},
 Year = {1990},
 Publisher = {Cambridge etc.: Cambridge University Press},
 Language = {English},
 Keywords = {20F55,20G05,20-02,51F15,20H15},
 zbMATH = {47598},
 Zbl = {0725.20028}
}

@incollection{BMMi-10,
 author = {Bousquet-M{\'e}lou, Mireille and Mishna, Marni},
 title = {Walks with small steps in the quarter plane},
 booktitle = {Algorithmic probability and combinatorics},
 isbn = {978-0-8218-4783-1},
 pages = {1--39},
 year = {2010},
 publisher = {Providence, RI: American Mathematical Society (AMS)},
 language = {English},
 keywords = {05A15},
 zbMATH = {5831709},
 Zbl = {1209.05008}
}


@article{GoHuRa-25,
 author = {Gohier, L{\'e}a and Humbert, Emmanuel and Raschel, Kilian},
 title = {Enumeration of walks in multidimensional orthants and reflection groups},
 fjournal = {Indiana University Mathematics Journal},
 journal = {Indiana Univ. Math. J.},
 issn = {0022-2518},
 year = {to appear},
  url = {https://arxiv.org/abs/2501.05654},
 arXiv = {arXiv:2501.05654}
}

@book{FaIaMa-17,
 author = {Fayolle, Guy and Iasnogorodski, Roudolf and Malyshev, Vadim},
 title = {Random walks in the quarter plane.},
 edition = {2nd edition},
 fseries = {Probability Theory and Stochastic Modelling},
 series = {Probab. Theory Stoch. Model.},
 issn = {2199-3130},
 volume = {40},
 isbn = {978-3-319-50928-0; 978-3-319-50930-3},
 year = {2017},
 publisher = {Cham: Springer},
 language = {English},
 doi = {10.1007/978-3-319-50930-3},
 keywords = {60-02,60G50,60K25,60K37,30D05},
 zbMATH = {6684618},
 Zbl = {1386.60004}
}


@Article{BoBMKaMe-16,
 Author = {Bostan, Alin and Bousquet-M{\'e}lou, Mireille and Kauers, Manuel and Melczer, Stephen},
 Title = {On 3-dimensional lattice walks confined to the positive octant},
 FJournal = {Annals of Combinatorics},
 Journal = {Ann. Comb.},
 ISSN = {0218-0006},
 Volume = {20},
 Number = {4},
 Pages = {661--704},
 Year = {2016},
 Language = {English},
 DOI = {10.1007/s00026-016-0328-7},
 Keywords = {05A15},
 zbMATH = {6678307},
 Zbl = {1354.05006}
}


@InCollection{Ya-17,
 Author = {Yatchak, Rika},
 Title = {Automated positive part extraction for lattice path generating functions in the octant},
 BookTitle = {Extended abstracts of EuroComb 2017, Vienna, Austria},
 Pages = {1061--1067},
 Year = {2017},
 Publisher = {Amsterdam: Elsevier},
 Language = {English},
 DOI = {10.1016/j.endm.2017.07.073},
 Keywords = {05A15},
 zbMATH = {6827290},
 Zbl = {1378.05011}
}



@Article{BuHoKa-21,
 Author = {Buchacher, Manfred and Hofmanninger, Sophie and Kauers, Manuel},
 Title = {Walks with small steps in the 4D-orthant},
 FJournal = {Annals of Combinatorics},
 Journal = {Ann. Comb.},
 ISSN = {0218-0006},
 Volume = {25},
 Number = {1},
 Pages = {153--166},
 Year = {2021},
 Language = {English},
 DOI = {10.1007/s00026-020-00520-5},
 Keywords = {05A15,60G50},
 zbMATH = {7328909},
 Zbl = {1460.05010}
}





@article{HaSi-21,
 author = {Hardouin, Charlotte and Singer, Michael F.},
 title = {On differentially algebraic generating series for walks in the quarter plane},
 fjournal = {Selecta Mathematica. New Series},
 journal = {Sel. Math., New Ser.},
 issn = {1022-1824},
 volume = {27},
 number = {5},
 pages = {49},
 note = {Id/No 89},
 year = {2021},
 language = {English},
 doi = {10.1007/s00029-021-00703-9},
 keywords = {05A15,60G50,11G05,30D05,39A06},
 zbMATH = {7417751},
 Zbl = {1476.05013}
}


@article{BeBMRa-21,
 author = {Bernardi, Olivier and Bousquet-M{\'e}lou, Mireille and Raschel, Kilian},
 title = {Counting quadrant walks via {Tutte}'s invariant method},
 fjournal = {Combinatorial Theory},
 journal = {Comb. Theory},
 issn = {2766-1334},
 volume = {1},
 pages = {77},
 note = {Id/No 3},
 year = {2021},
 language = {English},
 doi = {10.5070/C61055360},
 keywords = {05A15,39A06,30C20,30D05},
 zbMATH = {7617358},
 Zbl = {1498.05012}
}


@incollection{KaWa-17,
 author = {Kauers, Manuel and Wang, Rong-Hua},
 title = {Lattice walks in the octant with infinite associated groups},
 booktitle = {Extended abstracts of EuroComb 2017, Vienna, Austria},
 pages = {703--709},
 year = {2017},
 publisher = {Amsterdam: Elsevier},
 language = {English},
 doi = {10.1016/j.endm.2017.07.026},
 keywords = {05A15},
 zbMATH = {6827243},
 Zbl = {1378.05008}
}


@article{MeMi-16,
 author = {Melczer, Stephen and Mishna, Marni},
 title = {Asymptotic lattice path enumeration using diagonals},
 fjournal = {Algorithmica},
 journal = {Algorithmica},
 issn = {0178-4617},
 volume = {75},
 number = {4},
 pages = {782--811},
 year = {2016},
 language = {English},
 doi = {10.1007/s00453-015-0063-1},
 keywords = {05A15},
 zbMATH = {6624133},
 Zbl = {1390.05015}
}


@article{Fe-14,
 author = {Feierl, Thomas},
 title = {Asymptotics for the number of walks in a {Weyl} chamber of type {{\(B\)}}},
 fjournal = {Random Structures \& Algorithms},
 journal = {Random Struct. Algorithms},
 issn = {1042-9832},
 volume = {45},
 number = {2},
 pages = {261--305},
 year = {2014},
 language = {English},
 doi = {10.1002/rsa.20467},
 keywords = {05E15,05A15},
 zbMATH = {6356978},
 Zbl = {1309.05180}
}


@misc{arXiv:2512.21976,
      title={Finite Groups of Random Walks in the Quarter Plane and Periodic $4$-bar Links}, 
      author={Vladimir Dragović and Milena Radnović},
      year={2026},
      eprint={2512.21976},
      archivePrefix={arXiv},
      primaryClass={math.AG},
}