DOI: 10.1017/s0004972726102068 ISSN: 0004-9727

ON PÓLYA’S 4D RANDOM WALK CONSTANT

ROBERT E. GAUNT

Abstract

The return probability in the simple symmetric random walk on the four-dimensional lattice

Z 4 $\mathbb {Z}^4$ double struck upper Z Superscript 4
is evaluated in closed form in terms of the generalised hypergeometric function.

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