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pro vyhledávání: '"Ryzhikov, V. V."'
Autor:
Ryzhikov, V. V.
We show that the typical dynamical system sometimes begins to behave like a non-deterministic system with a small classical entropy, and this behavior lasts an extremely long time, until the system starts decreasing entropy. Then again it will become
Externí odkaz:
http://arxiv.org/abs/2007.09663
Autor:
Ryzhikov, V. V.
Rank one transformations serve as a source of examples in ergodic theory, showing variety of algebraic, asymptotic and spectral properties of dynamical systems. The properties of a rank one transformation are closely related to the weak closure of it
Externí odkaz:
http://arxiv.org/abs/2005.00449
Autor:
Ryzhikov, V. V.
An ergodic self-joining of an infinite rank-one transformation is a part of the weak limit of off-diagonal measures. A class of uncountaible cardinality of nonisomorphic transformations with polynomial weak closure is presented. Such actions have min
Externí odkaz:
http://arxiv.org/abs/1902.03215
Autor:
Ryzhikov, V. V.
This work contains the following results: the trajectory fullness of the homoclinic groups, their connections with factors, K-property, weak multiple mixing; the ergodicity of the weakly homoclinic group for Gauss and Poisson actions; the triviality
Externí odkaz:
http://arxiv.org/abs/1901.09028
Autor:
Ryzhikov, V. V.1 (AUTHOR) vryzh@mail.ru
Publikováno v:
Mathematical Notes. Jun2023, Vol. 113 Issue 5/6, p704-707. 4p.
Autor:
Ryzhikov, V. V.
For any set $M$ of natural numbers there are mixing Gaussian automorphisms and non-mixing Gaussian automorphisms with singular spectrum (as well as some automorphisms which are disjoint from all Gaussian actions) such that $ M\cup\{\infty\}$ is the s
Externí odkaz:
http://arxiv.org/abs/1406.3321
Autor:
Ryzhikov, V. V., Troitskaya, A. E.
A mixing flow with homogeneous spectrum of multiplicity 2 is presented.
Externí odkaz:
http://arxiv.org/abs/1404.7841
Autor:
Ryzhikov, V. V.
We present: 1) a mixing $Z ^ 2$-action with the following asymmetry of multiple mixing property: for some commuting measure-preserving transformations $S$, $T$ and a sequence $n_j$ $$ \lim_{j\to \infty}\mu(A\bigcap S^{-n_j}A\bigcap T^{-n_j}A)=\mu(A)^
Externí odkaz:
http://arxiv.org/abs/1402.0742
Autor:
Ryzhikov, V. V.1 (AUTHOR) vryzh@mail.ru
Publikováno v:
Mathematical Notes. Feb2023, Vol. 113 Issue 1/2, p274-281. 8p.
Autor:
Ryzhikov, V. V.
The following generalizations of the Chacon map are proposed: instead of classical constant spacer sequence $(0,1,0)$ let a sequence $(0,s_j,0)$ be one with unbounded $s_j$. (We mention also an analogue of the historical Chacon map with spacer sequen
Externí odkaz:
http://arxiv.org/abs/1311.4524