Short walk adventures

Short walk adventures
Wadim Zudilin, Armin Straub — Preprint (in memory of Jon Borwein) — 2018


We review recent development of short uniform random walks, with a focus on its connection to (zeta) Mahler measures and modular parametrisation of the density functions. Furthermore, we extend available ``probabilistic'' techniques to cover a variation of random walks and reduce some three-variable Mahler measures, which are conjectured to evaluate in terms of \(L\)-values of modular forms, to hypergeometric form.


307.55 KB Preprint (PDF, 14 pages) 28


    author = {Wadim Zudilin and Armin Straub},
    title = {Short walk adventures},
    journal = {Preprint (in memory of Jon Borwein)},
    year = {2018},