Renormalization in a class of interval translation maps of d branches
Bruin, H (2007) Renormalization in a class of interval translation maps of d branches DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 22 (1). 11 - 24.
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.
|Uncontrolled Keywords:||Science & Technology, Physical Sciences, Technology, Mathematics, Applied, Mechanics, Mathematics, MAPPINGS|
|Divisions:||Faculty of Engineering and Physical Sciences > Mathematics|
|Deposited By:||Mr Adam Field|
|Deposited On:||27 May 2010 15:41|
|Last Modified:||16 Feb 2013 16:04|
Repository Staff Only: item control page