演講公告

演講主題：Limiting Distributions for Automata Outputs
主講人：珂羅莎博士(中央研究院統計科學研究所)
演講日期：2016 年5 月31 日(星期二) 14:00 - 15:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午1:30 (科學一館205室)
摘要內容：
We consider sequences defined as the sum of the output of an automaton. This is a generalization of automatic sequences, the sum-of-digits function and other digital sequences. We asymptotically analyze these sequences when the input of the transducer is a random integer in [0, N).
Depending on properties of the automaton, the sequence is asymptotically normally distributed. We give the expected value and the variance of the sequence, including the main term and the periodic fluctuation in the second order term. We further investigate properties of this periodic fluctuation.
This is joint work with Clemens Heuberger and Helmut Prodinger.
相關檔案：Talk_1050531.doc

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