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Lyapunov spectra for alpha-Farey and alpha-Lueroth systems
Dr. Sara Munday
2018-01-01 12:13  华东师范大学

题目: Lyapunov spectra for alpha-Farey and alpha-Lueroth systems.

时间:2012年8月17日上午10:30-12:00

地点:闵行校区数学系102报告厅

演讲人:Dr. Sara Munday

摘要:We will introduce the alpha-Farey map and its associated jump transformation, the alpha-Lueroth map for an arbitrary countable partition of the unit interval with atoms which accumulate only at the origin. After some preliminary discussion, the main result will be the Hausdorff dimension spectra for these maps in terms of the Lyapunov exponent. We will give various illustrative examples.