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Theory of Stochastic Processes, 2014, Volume 19(35), Issue 1, Pages 91–99 (Mi thsp8)  
Sojourn measures of random walks on deterministic sequences

V. I. Senin

Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, building 4-e, Academician Glushkov prospectus, Kyiv, Ukraine, 03127
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Abstract: We prove that for some class of random walks $\{Z(n),\,n\geq 0\}$, the random sequence $x_{Z(n)}$ almost surely inherits the property of a deterministic sequence $x_n$ to be uniformly distributed.
Keywords: Uniform distribution, random walk.
Bibliographic databases:
Document Type: Article
MSC: 60B10, 60G50
Language: English
Citation: V. I. Senin, “Sojourn measures of random walks on deterministic sequences”, Theory Stoch. Process., 19(35):1 (2014), 91–99
Citation in format AMSBIB
\Bibitem{Sen14}
\by V.~I.~Senin
\paper Sojourn measures of random walks on deterministic sequences
\jour Theory Stoch. Process.
\yr 2014
\vol 19(35)
\issue 1
\pages 91--99
\mathnet{http://mi.mathnet.ru/thsp8}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3337136}
\zmath{https://zbmath.org/?q=an:1313.60003}
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