Short walk adventures

Short walk adventures
Armin Straub, Wadim ZudilinProceedings of the Jon Borwein Commemorative Conference — 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.


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    author = {Armin Straub and Wadim Zudilin},
    title = {Short walk adventures},
    journal = {Proceedings of the Jon Borwein Commemorative Conference},
    year = {2018},