Short walk adventures (in memory of Jon Borwein)

Short walk adventures (in memory of Jon Borwein)
Armin Straub, Wadim ZudilinSpringer Proceedings in Mathematics & Statistics — From Analysis to Visualization: JBCC 2017 — Volume 313, 2020, Pages 423-439


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.


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    author = {Armin Straub and Wadim Zudilin},
    title = {Short walk adventures (in memory of Jon Borwein)},
    journal = {Springer Proceedings in Mathematics & Statistics},
    year = {2020},
    volume = {313},
    pages = {423--439},
    doi = {10.1007/978-3-030-36568-4_27},