V. Ryzhikov

activity

20092025

most citedHomogeneous spectrum, Disjointness of Convolutions, and Mixing Properties of Dynamical Systems

16 citations · 51 across the 58 of their papers we have counts for

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Showing 2011Show all

4 papers · 1 filter

math.DS2011★ 2 cited

On Disjointness of Mixing Rank One Actions

V. V. Ryzhikov

For flows the rank is an invariant by linear change of time. But what we can say about isomorphisms? It seems that in case of mixing flows this problem is the most difficult. Howev…

math.DS2011★ 1 cited

Local Rank of Ergodic Symmetric $n$ -Powers does not exceed $n! n^{- n}$

V. V. Ryzhikov

We prove that local rank of an ergodic symmetric power $T^{⊙ n}$ does not exceed $n! n^{- n}$ . A. Katok's old results show that this upper bound is exact. We prove also that $T^{…

math.DS2011

On Mixing of Staircase Transformations

V. V. Ryzhikov

We prove the mixing for all staircase transformations satisfied the conditions $r_{j} / h_{j} \to 0$ + $r_{j} \to \infty$ .

math.DS2011★ 3 cited

On Mixing Constructions with Algebraic Spacers

V. V. Ryzhikov

We recall a proof of the mixing for almost all Ornstein's stochastic rank one constructions, replace stochastic spacers by special algebraic ones and prove the mixing in this new s…

On Disjointness of Mixing Rank One Actions

Local Rank of Ergodic Symmetric n-Powers does not exceed n!n−n

On Mixing of Staircase Transformations

On Mixing Constructions with Algebraic Spacers

Local Rank of Ergodic Symmetric $n$ -Powers does not exceed $n! n^{- n}$