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Approximation properties of beta-expansions
Simon Peter Baker 博士(英国 University of Reading)
2018-01-01 12:13  华东师范大学

青年学术论坛邀请报告(一)

摘要: Khintchine's theorem is one of the most famous results in Diophantine approximation. It describes the size of the set of well approximable numbers in term of naturally occuring volume sums. In a recent paper I conjectured that an analogue of this theorem holds within the setting of expansions in non-integer bases. In this talk I will discuss some recent progress towards a proof of this conjecture, and state some bases for which the conjecture is known to hold.

个人简介:Simon Peter Baker于2014年7月在英国Manchester大学数学系获得理学博士学位,现在英国University of Reading数学系工作,他在beta展式的研究中做出了许多很好的研究工作,是一个极其有潜力的年轻学者。

邀请人:李文侠 教授