Continuous $\times p,\times q$-invariant measures on the unit circle

We express continuous $\times p, \times q$ -invariant measures on the unit circle via some simple forms. On one hand, a continuous $\times p,\times q $- i n v a r i a n t m e a s u r e i s t h e w e a k -$ *$ limit of average of Dirac measures along an irrational orbit. On the other hand, a continuous $\times p,\times q $- i n v a r i a n t m e a s u r e i s a c o n t i n u o u s f u n c t i o n o n$ [0,1]$ satisfying certain function equations.

Continuous $\times p, \times q$ -invariant measures on the unit circle

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Continuous $\times p, \times q$ -invariant measures on the unit circle

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Continuous ×p,×q×p,×q-invariant measures on the unit circle

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Continuous ×p,×q×p,×q-invariant measures on the unit circle

文献摘要

讨论

|讲解博客

|AI智能校验

Continuous $\times p, \times q$ -invariant measures on the unit circle

讲解博客

AI智能校验

Continuous $\times p, \times q$ -invariant measures on the unit circle

讲解博客

AI智能校验