The sojourn time problem for a $p$-adic random walk and its applications to the spectral diffusion of proteins

A. Kh. Bikulov, A. P. Zubarev

We consider the problem of the distribution of the sojourn time in a compact set ${\mathbb{Z}}_p$ in the case of a $p$-adic random walk. We rely on the results of our previous stud…