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math.DS2014
Mixing Flows with Homogeneous Spectrum of Multiplicity Two
V. V. Ryzhikov, A. E. Troitskaya
A mixing flow with homogeneous spectrum of multiplicity 2 is presented.
math.DS2014
Ergodic Homoclinic Groups, Infinite Sidon Constructions and Poisson Suspensions
Valery Ryzhikov
1. We answer Michael Gordin's question providing singular spectrum for transformations with homoclinic Bernoulli flows via Poisson suspensions induced by modified Sidon rank-one co…
math.DS2014
Asymmetries in Asymptotic 3-fold Properties of Ergodic Actions
V. V. Ryzhikov
We present: 1) a mixing -action with the following asymmetry of multiple mixing property: for some commuting measure-preserving transformations , and a sequence …