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conference paper
Ergodic Theory Meets Polarization I: A Foundation of Polarization Theory
2015
2015 IEEE International Symposium on Information Theory (ISIT)
An open problem in polarization theory is to determine the binary operations that always lead to polarization when they are used in Arıkan style constructions. This paper solves this problem by providing a necessary and sufficient condition for a binary operation to be polarizing. The characterization is given in terms of a new mathematical framework that we introduce. We show that a binary operation is polarizing if and only if its inverse is strongly ergodic.
Type
conference paper
Authors
Publication date
2015
Publisher
Published in
2015 IEEE International Symposium on Information Theory (ISIT)
Start page
2451
End page
2455
Peer reviewed
REVIEWED
EPFL units
Event name | Event place | Event date |
Hong Kong, Hong Kong | 14-19 June 2015 | |
Available on Infoscience
January 24, 2015
Use this identifier to reference this record