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

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.

MSC: 60B10, 60G50

Language: English

Bibliographic databases:

• 
•