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A law of the iterated logarithm for continued fractions

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title: A law of the iterated logarithm for continued fractionsspeaker： Zhang Xuan (Brazil)time： 17：00, July 21,2017, Fridaylocation: Math Center Room 813abstract: We obtain an almost sure invariance principle for non-stationary sequential full shifts. As a corollary, a law of the iterated logarithm follows for the set of real numbers whose n-th partial quotient is bigger than a_n, where an i...

title: A law of the iterated logarithm for continued fractions

speaker： Zhang Xuan (Brazil)

time： 17：00, July 21,2017, Friday

location: Math Center Room 813

abstract: We obtain an almost sure invariance principle for non-stationary sequential full shifts. As a corollary, a law of the iterated logarithm follows for the set of real numbers whose n-th partial quotient is bigger than a_n, where an is a sequence tending to infinity. Joint work with Manuel Stadlbauer.