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Random Sequences Interpolating with Probability One

Authors:	Rudowicz Rafal

Affiliation:	Institute of Mathematics, Technical University of Wroclaw Wybrze $"z"$ e Wyspia $"n"$ skiego 27, 50-370 Wroclaw, Poland

Abstract:	Let { ${theta}$ _n} be a sequence of independent random variables uniformlydistributed on [0, 2 ${pi}$ ], and let {r_n} be a sequence of (deterministic)radii in [0, 1). Form points of the unit disc putting z_n = r_ne ${theta}$ _n.We characterize those sequences {r_n} for which {z_n} is an interpolatingsequence with probability one.

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