モリタ　タケヒコ   Morita Takehiko   盛田　健彦    所属   追手門学院大学  理工学部 数理・データサイエンス学科    職種   教授
言語種別	英語
発行・発表の年月	2017
形態種別	論文
査読	査読あり
標題	Central limit theorem of mixed type for transformations with quasi-compact Perron-Frobenius operators
執筆形態	代表編著
掲載誌名	Kyushu J. Math.
掲載区分	国内
出版社・発行元	Faculty of Mathematics, Kyushu University
巻・号・頁	71(1),pp.31-64
担当区分	責任著者
著者・共著者	T. Ikeda,T. Morita
概要	<p>We consider a nonsingular transformation whose Perron-Frobenius operator is quasi-compact on an appropriate Banach algebra. We establish the central limit theorem of mixed type with a nice convergence rate for a real-valued observable in the Banach algebra. As an application, we show that generalized piecewise expanding maps on the unit interval with Hölder continuous derivatives and the Banach algebra of Lebesgue integrable functions with a version of bounded p-variation satisfy our conditions if p is not smaller than the reciprocal of the Hölder exponent of the derivatives.</p>
DOI	10.2206/kyushujm.71.31
NAID	130005666230