Topic: Random Walks in Higher Dimensions

Green-Function Integrability in Dimensions Three and Above

Fourier Inversion for Lattice Return Probabilities

Fourier Integral Formula for the Green Function

First-Return Decomposition of the Green Function

Exact Return Probabilities in One Dimension

Counting Closed Paths on Lattice Walks

Classifying Lattice Walks with Return Data

Anisotropic Nearest-Neighbor Walks on Z^d