Zobrazeno 1 - 10
of 50
pro vyhledávání: '"SOLOMKO, A. V."'
Autor:
Kanigowski, Adam, Solomko, Anton V.
A von Neumann flow is a special flow over an irrational rotation of the circle and under a piecewise $C^1$ roof function with a non-zero sum of jumps. We prove that the absolute value of the slope is a (measure theoretic) invariant in the class of vo
Externí odkaz:
http://arxiv.org/abs/1610.02712
Autor:
Kanigowski, Adam, Solomko, Anton V.
We prove that special flows over an ergodic rotation of the circle under a $C^1$ roof function with one discontinuity do not have local rank one. In particular, any such flow has infinite rank.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1608.05596
Via (C,F)-construction we produce a 2-fold simple mixing transformation which has uncountably many non-trivial proper factors and all of them are prime.
Externí odkaz:
http://arxiv.org/abs/1406.4658
Autor:
Solomko, Anton V.
Let G be a locally compact second countable Abelian group. Given a measure preserving action T of G on a standard probability space, let M(T) denote the set of essential values of the spectral multiplicity function of the Koopman unitary representati
Externí odkaz:
http://arxiv.org/abs/1109.4367
It is shown that for each $N>0$ and for a wide class of Abelian non-compact locally compact second countable groups $G$ including all infinite countable discrete ones and $\Bbb R^{d_1}\times\Bbb Z^{d_2}$ with $d_1,d_2\ge 0$, there exists a weakly mix
Externí odkaz:
http://arxiv.org/abs/1001.2259
Publikováno v:
Carpathian Mathematical Publications; Vol 11, No 2 (2019); 228-239
Карпатские математические публикации; Vol 11, No 2 (2019); 228-239
Карпатські математичні публікації; Vol 11, No 2 (2019); 228-239
Карпатские математические публикации; Vol 11, No 2 (2019); 228-239
Карпатські математичні публікації; Vol 11, No 2 (2019); 228-239
In this article we investigate a problem with nonlocal boundary conditions which are multipoint perturbations of mixed boundary conditions in the unit square $G$ using the Fourier method.The properties of a generalized transformation operator $R: L_2
Publikováno v:
Matematychni Studii; 2021, Vol. 56 Issue 2, p185-192, 8p
Publikováno v:
Carpathian Mathematical Publications; Vol 10, No 2 (2018); 215-234
Карпатские математические публикации; Vol 10, No 2 (2018); 215-234
Карпатські математичні публікації; Vol 10, No 2 (2018); 215-234
Карпатские математические публикации; Vol 10, No 2 (2018); 215-234
Карпатські математичні публікації; Vol 10, No 2 (2018); 215-234
In this article, we investigate a problem with nonlocal boundary conditions which are perturbations of antiperiodical conditions in bounded $m$-dimensional parallelepiped using Fourier method. We describe properties of a transformation operator $R:L_
Publikováno v:
Matematychni Studii; 2020, Vol. 54 Issue 1, p62-78, 15p
Publikováno v:
Carpathian Mathematical Publications / Karpats'kì Matematičnì Publìkacìï; 2020, Vol. 12 Issue 1, p173-188, 16p