Abstract
The main result of this note states that if the expected number of visits of a vector random walk to a bounded region is finite than all the moments of the number of visits are finite.
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References
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Additional information
On leave from University of California, Berkeley.
This work was partially supported by N.S.F. Grant G.P. 2593.
This work was partially supported by the Ford Foundation Grant administered by the C.R.M.S. University of California, Berkeley.
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Bickel, P.J., Yahav, J.A. The number of visits of vector walks to bounded regions. Israel J. Math. 3, 181–186 (1965). https://doi.org/10.1007/BF03008395
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DOI: https://doi.org/10.1007/BF03008395