Equidistribution in the dual group of the S-adic integers

被引：0
|
作者：
Roman Urban
机构：
[1] Wrocław University,Institute of Mathematics
来源：
Czechoslovak Mathematical Journal | 2014年 / 64卷
关键词：
uniform distribution modulo 1; equidistribution in probability; algebraic number fields; -adele ring; -integer dynamical system; algebraic dynamics; topological dynamics; -adic solenoid; 11J71; 11K06; 54H20;
D O I：
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学科分类号：
摘要：
Let X be the quotient group of the S-adele ring of an algebraic number field by the discrete group of S-integers. Given a probability measure µ on Xd and an endomorphism T of Xd, we consider the relation between uniform distribution of the sequence Tnx for µ-almost all x ∈ Xd and the behavior of µ relative to the translations by some rational subgroups of Xd. The main result of this note is an extension of the corresponding result for the d-dimensional torus Td due to B.Host.
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页码：911 / 931
页数：20
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