RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Journal history Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Tr. Mosk. Mat. Obs.: Year: Volume: Issue: Page: Find

 Tr. Mosk. Mat. Obs., 2013, Volume 74, Issue 1, Pages 201–208 (Mi mmo544)

Bounded ergodic constructions, disjointness, and weak limits of powers

V. V. Ryzhikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: This paper is devoted to the disjointness property of powers of a totally ergodic bounded construction of rank 1 and some generalizations of this result. We look at applications to the problem when the Möbius function is independent of the sequence induced by a bounded construction.

Key words and phrases: ergodic power of a transformation; construction of rank one; disjointness of dynamical systems; Möbius function.

Full text: PDF file (249 kB)
References: PDF file   HTML file

English version:
Transactions of the Moscow Mathematical Society, 2013, 74, 165–171

Bibliographic databases:

UDC: 517.987
MSC: Primary 28D05; Secondary 58F11

Citation: V. V. Ryzhikov, “Bounded ergodic constructions, disjointness, and weak limits of powers”, Tr. Mosk. Mat. Obs., 74, no. 1, MCCME, M., 2013, 201–208; Trans. Moscow Math. Soc., 74 (2013), 165–171

Citation in format AMSBIB
\Bibitem{Ryz13} \by V.~V.~Ryzhikov \paper Bounded ergodic constructions, disjointness, and weak limits of powers \serial Tr. Mosk. Mat. Obs. \yr 2013 \vol 74 \issue 1 \pages 201--208 \publ MCCME \publaddr M. \mathnet{http://mi.mathnet.ru/mmo544} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3235793} \zmath{https://zbmath.org/?q=an:06371559} \elib{http://elibrary.ru/item.asp?id=21369367} \transl \jour Trans. Moscow Math. Soc. \yr 2013 \vol 74 \pages 165--171 \crossref{https://doi.org/10.1090/S0077-1554-2014-00214-4} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84960130173} 

• http://mi.mathnet.ru/eng/mmo544
• http://mi.mathnet.ru/eng/mmo/v74/i1/p201

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. V. Ryzhikov, “On the Asymmetry of Multiple Asymptotic Properties of Ergodic Actions”, Math. Notes, 96:3 (2014), 416–422
2. M. S. Lobanov, V. V. Ryzhikov, “Special weak limits and simple spectrum of the tensor products of flows”, Sb. Math., 209:5 (2018), 660–671
3. E. H. el Abdalaoui, J. Kulaga-Przymus, M. Lemanczyk, T. de la Rue, “Mobius disjointness for models of an ergodic system and beyond”, Isr. J. Math., 228:2 (2018), 707–751
4. S. Ferenczi, J. Kulaga-Przymus, M. Lemanczyk, “Sarnak's conjecture: what's new”, Ergodic Theory and Dynamical Systems in Their Interactions With Arithmetics and Combinatorics, Lecture Notes in Mathematics, 2213, eds. S. Ferenczi, J. Kulaga-Przymus, M. Lemanczyk, Springer, 2018, 163–235
•  Number of views: This page: 245 Full text: 68 References: 39