Renormalization in a class of interval translation maps of d branches
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Bruin, H (2007) Renormalization in a class of interval translation maps of d branches DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 22 (1). 11 - 24.
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Abstract
We generalise results by Bruin & Troubetzkoy [BT] to a class of interval translation maps with arbitrarily many pieces. We show that there is a uncountable set of parameters leading to type 1 ITMs, but that the Lebesgue measure of these parameters is 0. Furthermore, conditions are given that imply the ITM to have multiple ergodic invariant measures.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Science & Technology, Physical Sciences, Technology, Mathematics, Applied, Mechanics, Mathematics, MAPPINGS |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| Related URLs: | |
| ID Code: | 1472 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:41 |
| Last Modified: | 16 Feb 2013 16:04 |
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