scholarly journals Random power series near the endpoint of the convergence interval

2018 ◽  
Vol 93 (3-4) ◽  
pp. 413-424
Author(s):  
Balazs Maga ◽  
Peter Maga
Keyword(s):  
Power Series ◽  
Random Power Series

scholarly journals On Inhomogeneous Bernoulli Convolutions and Random Power Series

2011 ◽  
Vol 36 (1) ◽  
pp. 213 ◽  
Author(s):  
Antonios Bisbas ◽  
Jörg Neunhäuserer
Keyword(s):  
Power Series ◽  
Random Power Series ◽  
Bernoulli Convolutions

scholarly journals Divergence of random power series.

1959 ◽  
Vol 6 (4) ◽  
pp. 343-347 ◽  
Author(s):  
A. Dvoretzky ◽  
P. Erdős
Keyword(s):  
Power Series ◽  
Random Power Series

The distribution of the values of a random power series in the unit disk

1983 ◽  
Vol 94 (3-4) ◽  
pp. 251-263 ◽  
Author(s):  
Matthias Jakob ◽  
A. C. Offord
Keyword(s):  
Power Series ◽  
Unit Disk ◽  
Random Variables ◽  
Equal Probability ◽  
Independent Random Variables ◽  
Random Power Series ◽  
The Family ◽  
Unit Radius ◽  
Image Position ◽  
Almost All

SynopsisThis is a study of the family of power series where Σ αnZn has unit radius of convergence and the εn are independent random variables taking the values ±1 with equal probability. It is shown that ifthen almost all these power series take every complex value infinitely often in the unit disk.

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