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Irrational rotation of the circle
...
Analysis
Real analysis
Measure theory
Ergodic theory
Measure-preserving transformation
Ergodic measure-preserving transformation
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Words: 51
Articles: 1
For irrational
α
, the circle rotation
T
(
x
)
=
x
+
α
(
mod
1
)
preserves
Lebesgue measure
and is
ergodic
.
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51
1
Everywhere interval frequency under an irrational rotation
Irrational rotation of the circle
38
Ancestors
(9)
Ergodic measure-preserving transformation
Measure-preserving transformation
Ergodic theory
Measure theory
Real analysis
Analysis
Area of mathematics
Mathematics
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Everywhere interval frequency under an irrational rotation
Solution
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