A law of the iterated logarithm for discrepancies: non-constant limsup

Katusi Fukuyama

Type: Article

Publication Date: 2008-09-17

Citations: 14

DOI: https://doi.org/10.1007/s00605-008-0062-2

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Monatshefte für Mathematik - View
Kobe University Repository Kernel (Kobe University) - View - PDF

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+ PDF Chat	Diophantine conditions in the law of the iterated logarithm for lacunary systems	2024	Christoph Aistleitner Lorenz Frühwirth Joscha Prochno
+ PDF Chat	Irregular discrepancy behavior of lacunary series	2008	Christoph Aistleitner
+	PROBABILITY AND METRIC DISCREPANCY THEORY	2011	Christoph Aistleitner István Berkes
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+ PDF Chat	Optimal bound for the discrepancies of lacunary sequences	2013	Christoph Aistleitner Katusi Fukuyama Yukako Furuya
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Works Cited by This (13)

Action	Title	Year	Authors
+ PDF Chat	Empirical processes in probabilistic number theory: the LIL for the discrepancy of $(n\sb k\omega)\bmod1$	2006	I. Berkès Walter Philipp Robert F. Tichy
+	The law of the iterated logarithm for discrepancies of {θ n x}	2007	Katusi Fukuyama
+ PDF Chat	A Functional Law of the Iterated Logarithm for Empirical Distribution Functions of Weakly Dependent Random Variables	1977	Walter Philipp
+	Mixing Sequences of Random Variables and Probabilistic Number Theory	1971	Walter Philipp
+	Almost sure invariance principles for the empirical process of lacunary sequences	1987	Sompong Dhompongsa
+	Einige S�tze �ber Kettenbr�che, mit Anwendungen auf die Theorie der Diophantischen Approximationen	1924	A. Khintchine
+ PDF Chat	Empirical distribution functions and strong approximation theorems for dependent random variables. A problem of Baker in probabilistic number theory	1994	Walter Philipp
+	On the law of the iterated logarithm for the discrepancy of 〈n k x〉	2008	Christoph Aistleitner I. Berkès
+	A metric discrepancy result for the Hardy–Littlewood–Pólya sequences	2008	Katusi Fukuyama Keisuke Nakata
+ PDF Chat	Some properties of trigonometric series whose terms have random signs	1954	R. Salem A. Zygmund