Finite and infinite ergodic theory for linear and conformal dynamical systems
The first main topic of this thesis is the thorough analysis of two families of piecewise linear maps on the unit interval, the α-Lüroth and α-Farey maps. Here, α denotes a countably infinite partition of the unit interval whose atoms only accumulate at the origin. The basic properties of these map...
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University of St Andrews
2011
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| Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.558102 |