Bahsoun, Wael (2000) Invariant measures for inner functions. Masters thesis, Concordia University.
This thesis describes the chaotic behavior of inner functions in the unit disk and in the upper half plane. Absolutely continuous invariant, measures for inner functions, ergodicity and exactness will be discussed. Moreover, under some conditions, we prove that the restriction of an inner function to [Special characters omitted.] is ergodic if and only if the Julia set is the real line.
|Divisions:||Concordia University > Faculty of Arts and Science > Mathematics and Statistics|
|Item Type:||Thesis (Masters)|
|Pagination:||vi, 71 leaves ; 29 cm.|
|Degree Name:||Theses (M.Sc.)|
|Program:||Mathematics and Statistics|
|Thesis Supervisor(s):||Gora, Pawel|
|Deposited By:||Concordia University Libraries|
|Deposited On:||27 Aug 2009 17:16|
|Last Modified:||08 Dec 2010 15:18|
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