A note on the Green's function for the transient random walk without killing on the half lattice, orthant and strip
- Chiarini, Alberto
- Cipriani, Alessandra
2010 Mathematics Subject Classification
- 60J10 60J45 60J55
- Green's function, simple random walk, orthant, strip, half lattica
In this note we derive an exact formula for the Green's function of the random walk on different subspaces of the discrete lattice (orthants, including the half space, and the strip) without killing on the boundary in terms of the Green's function of the simple random walk on $Z^d$, $dge 3$.