We compute the t-Martin boundary of two-dimensional small steps random walks killed at the boundaryof the quarter plane. We further provide explicit expressions for the (generating functions of the) discrete t-harmonic functions. Our approach is uniform in t, and shows that there are three regimes for the Martin boundary.
CITATION STYLE
Lecouvey, C., & Raschel, K. (2016). t-martin boundary of killed random walks in the quadrant. Lecture Notes in Mathematics, 2168, 305–323. https://doi.org/10.1007/978-3-319-44465-9_11
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