Generic Spectral Properties of Measure-Preserving Maps and Applications
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Publication:4013483
DOI10.2307/2159219zbMath0762.28015OpenAlexW4254482410MaRDI QIDQ4013483
Andrés Del Junco, Mariusz Lemanczyk
Publication date: 27 September 1992
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2159219
measure-preserving mapsergodic theorygenericityweakly mixingconvolution powersminimal self-joiningsstacking methodmaximal spectral type of an automorphism
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Ensemble d'invariants pour les produits croisés de Anzai ⋮ On the spectrum of \(\alpha \)-rigid maps ⋮ A note on the isomorphism of Cartesian products of ergodic flows ⋮ Almost sure convergence of the multiple ergodic average for certain weakly mixing systems ⋮ Generic measure preserving transformations and the closed groups they generate ⋮ Generic stationary measures and actions ⋮ On spectral disjointness of powers for rank-one transformations and Möbius orthogonality ⋮ The homogeneous spectrum problem in ergodic theory ⋮ Joining primeness and disjointness from infinitely divisible systems ⋮ Generic behavior of a measure-preserving transformation ⋮ Transformations conjugate to their inverses have even essential values ⋮ Simple spectrum of the tensor product of powers of a mixing automorphism ⋮ Spectral disjointness of powers of diffeomorphisms with arbitrary Liouvillean rotation behavior ⋮ Approximation of mixing transformations
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