An application of number theory to ergodic theory and the construction of uniquely ergodic models

DOI10.1007/BF02762163zbMath0438.28019MaRDI QIDQ1141780

Hillel Furstenberg, Alexandra Ionescu Tulcea

Publication date: 1979

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

weakly mixing measure preserving transformationconstruction of uniquely ergodic models

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items (6)

Equidistribution of singular measures on nilmanifolds and skew products ⋮ Topological mixing and uniquely ergodic systems ⋮ Spatial-temporal differentiation theorems ⋮ Strictly ergodic models for non-invertible transformations ⋮ On strictly ergodic models which are not almost topologically conjugate ⋮ Pointwise convergence of multiple ergodic averages and strictly ergodic models

Cites Work

• Topological dynamics and combinatorial number theory
• Ergodic theory on compact spaces
• Finite sums from sequences within cells of a partition of N
• On strict ergodicity
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An application of number theory to ergodic theory and the construction of uniquely ergodic models