Han, Fengwen; Wang, Lidan Positive solutions to discrete harmonic functions in unbounded cylinders. (English) Zbl 1542.31003 J. Korean Math. Soc. 61, No. 2, 377-393 (2024). MSC: 31C05 35R02 × Cite Format Result Cite Review PDF Full Text: DOI
Berestycki, Nathanaël; van Engelenburg, Diederik Harnack inequality and one-endedness of UST on reversible random graphs. (English) Zbl 1530.05167 Probab. Theory Relat. Fields 188, No. 1-2, 487-548 (2024). MSC: 05C80 60D05 60J45 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bousquet-Mélou, Mireille Enumeration of three-quadrant walks via invariants: some diagonally symmetric models. (English) Zbl 1526.05007 Can. J. Math. 75, No. 5, 1566-1632 (2023). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05A15 60C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoang, Viet Hung; Raschel, Kilian; Tarrago, Pierre Constructing discrete harmonic functions in wedges. (English) Zbl 1496.31004 Trans. Am. Math. Soc. 375, No. 7, 4741-4782 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 31C05 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duraj, Jetlir; Raschel, Kilian; Tarrago, Pierre; Wachtel, Vitali Martin boundary of random walks in convex cones. (Frontière de Martin de marches aléatoires dans des cônes convexes.) (English. French summary) Zbl 1492.60123 Ann. Henri Lebesgue 5, 559-609 (2022). MSC: 60G50 60G40 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Trotignon, Amélie Discrete harmonic functions in the three-quarter plane. (English) Zbl 1483.31036 Potential Anal. 56, No. 2, 267-296 (2022). MSC: 31C20 05A15 60C05 60K25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Essifi, Rim; Mustapha, Sami Upper estimates for inhomogeneous random walks confined to the positive orthant. (English) Zbl 1493.60076 Electron. Commun. Probab. 26, Paper No. 49, 14 p. (2021). MSC: 60G50 31C35 30F10 60G40 × Cite Format Result Cite Review PDF Full Text: DOI
Ignatiouk-Robert, Irina Harmonic functions of random walks in a semigroup via ladder heights. (English) Zbl 1466.60157 J. Theor. Probab. 34, No. 1, 34-80 (2021). MSC: 60J45 31C05 60J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mustapha, Sami; Sifi, Mohamed Discrete harmonic functions in Lipschitz domains. (English) Zbl 1422.60076 Electron. Commun. Probab. 24, Paper No. 58, 15 p. (2019). MSC: 60G50 31C35 60G40 30F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Raschel, Kilian; Trotignon, Amélie On walks avoiding a quadrant. (English) Zbl 1418.05011 Electron. J. Comb. 26, No. 3, Research Paper P3.31, 34 p. (2019). MSC: 05A15 60K25 60C05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Courtiel, J.; Melczer, S.; Mishna, M.; Raschel, K. Weighted lattice walks and universality classes. (English) Zbl 1369.05011 J. Comb. Theory, Ser. A 152, 255-302 (2017). MSC: 05A15 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lecouvey, Cédric; Raschel, Kilian \(t\)-Martin boundary of killed random walks in the quadrant. (English) Zbl 1367.60048 Donati-Martin, Catherine (ed.) et al., Séminaire de probabilités XLVIII. Cham: Springer (ISBN 978-3-319-44464-2/pbk; 978-3-319-44465-9/ebook). Lecture Notes in Mathematics 2168. Séminaire de Probabilités, 305-323 (2016). MSC: 60G50 31C35 60J50 31A05 05A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Arco, Philippe; Lacivita, Valentina; Mustapha, Sami Combinatorics meets potential theory. (English) Zbl 1336.05011 Electron. J. Comb. 23, No. 2, Research Paper P2.28, 17 p. (2016). MSC: 05A16 60G50 31C99 × Cite Format Result Cite Review PDF Full Text: Link