We present a space-homogeneous, time-inhomogeneous random walk that behaves as if it were a simple random walk in
d dimensions, where
d is not necessarily an integer. Analogues of the Local Central Limit Theorem, Zero-One Laws, distance, angle, asymptotics on the Green's function and the hitting probability, recurrence and transience, and results about the intersection behavior of the random walk paths are obtained.
Key Words Random Walk - non-integral-dimensional