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.

scholarly journals In memoriam: Czesław Ryll-Nardzewski’s contributions to probability theory

2018 ◽  
Vol 37 (1) ◽  
pp. 1-20
Author(s):  
Tomasz Rolski ◽  
Wojbor A. Woyczyński
Keyword(s):  
Probability Theory ◽  
Power Series ◽  
Ergodic Theory ◽  
Point Processes ◽  
Conditional Distributions ◽  
Random Series ◽  
Infinite Dimensional ◽  
Random Power Series ◽  
In Memoriam

IN MEMORIAM: CZESŁAW RYLL-NARDZEWSKI’S CONTRIBUTIONS TO PROBABILITY THEORYIn this paper we review contributions of late Czesław Ryll-Nardzewski to probability theory. In particular, we discuss his papers on point processes, random power series, random series in infinite-dimensional spaces, ergodic theory, de Finetti’s exchangeable sequences, conditional distributions and applications of the Kuratowski–Ryll-Nardzewski theorem on selectors.

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