© 1994 by London Mathematical Society
Random Sequences Interpolating with Probability One
Rudowicz
Institute of Mathematics, Technical University of Wroclaw Wybrze
e Wyspia
skiego 27, 50-370 Wroclaw, Poland
Received 1 March 1992.
Let {
n} be a sequence of independent random variables uniformly distributed on [0, 2
], and let {rn} be a sequence of (deterministic) radii in [0, 1). Form points of the unit disc putting zn = rne
n. We characterize those sequences {rn} for which {zn} is an interpolating sequence with probability one.