A generalization of Furstenberg’s Diophantine Theorem

DOI10.1090/S0002-9939-99-04742-5zbMath0921.11034OpenAlexW1535545896MaRDI QIDQ4243662

Bryna Kra

Publication date: 19 May 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04742-5

zbMATH Keywords

topological dynamicsdistribution modulo 1dense sets in the torusFurstenberg's diophantine theorem

Mathematics Subject Classification ID

Related Items (8)

Unnamed Item ⋮ A polynomial-exponential variation of Furstenberg’s theorem ⋮ Algebraic numbers, hyperbolicity, and density modulo one ⋮ Sequences of algebraic integers and density modulo 1 ⋮ Generalizations of Furstenberg’s Diophantine result ⋮ Algebraic numbers and density modulo 1 ⋮ On the limit points of $(a_n\xi )_{n=1}^{\infty }$ mod $1$ for slowly increasing integer sequences $(a_n)_{n=1}^{\infty }$ ⋮ Entropy and uniform distribution of orbits in \(\mathbb{T}^d\)

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