title: Analytic expression for the mean time to absorption for a random walker on the Sierpinski fractal. III. The effect of non-nearest-neighbor jumps.
abstract: We present exact, analytic results for the mean time to trapping of a random walker on the class of deterministic Sierpinski graphs embedded in d≥2 Euclidean dimensions, when both nearest-neighbor (NN) and next-nearest-neighbor (NNN) jumps are included. Mean first-passage times are shown to be modified significantly as a consequence of the fact that NNN transitions connect fractals of two consecutive generations.
authors: Department of Physics, Indian Institute of Technology Madras, Chennai 600 036, India.
authors: V
authors: V
authors: Balakrishnan
authors: DePaul University, 243 South Wabash Avenue, Chicago, Illinois 60604-2301, USA.
authors: John J
authors: JJ
authors: Kozak