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Найдены 452 публикации
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Препринт
Romanov A. arxiv.org. math. Cornell University, 2013. No. 1309.6283.
For a continuous semicascade on a metrizable compact set Ω, we consider the weak* convergence of generalized operator ergodic means in    End C*(Ω). We discuss conditions on the dynamical system under which: (a) every ergodic net contains a convergent subsequence; (b) all ergodic nets converge; (c) all ergodic sequences converge. We study the relationships between the convergence of ergodic means and the properties of transitivity of the proximality relation on Ω, minimality of supports of ergodic measures, and uniqueness of minimal sets in the closure of trajectories of a semicascade. These problems are solved in terms of three algebraic-topological objects associated with the dynamical system: the Ellis enveloping semigroup, the Kohler operator semigroup Г, and the semigroup G that is the weak* closure of the convex hull of Г in End C*(Ω). The main results are stated for ordinary semicascades (whose Ellis semigroup is metrizable) and tame semicascades. For a dynamics, being ordinary is equivalent to being “nonchaotic” in an appropriate sense. We present a classification of compact dynamical systems in terms of topological properties of the above-mentioned semigroups.
Добавлено: 19 ноября 2013
Препринт
A.V. Romanov. arxiv.org. math. Cornell University, 2018. No. 1806.09132.
Добавлено: 3 июля 2018
Препринт
Fedor Bogomolov, Böhning C. arxiv.org. math. Cornell University, 2014
Добавлено: 21 ноября 2014
Препринт
Amerik E., Kurlberg P., Nguyen K. et al. arxiv.org. math. Cornell University, 2013. No. 1305.4398.
Добавлено: 25 июня 2013
Препринт
Dunin-Barkowski P., Popolitov A., Popolitova S. arxiv.org. math. Cornell University, 2018. No. 1812.00858.
Добавлено: 20 февраля 2019
Препринт
Romanov I., Shamaev A. arxiv.org. math. Cornell University, 2018. No. arXiv:1603.01212v3.
Добавлено: 19 октября 2016
Препринт
Romanov I., Alexey Shamaev. arxiv.org. math. Cornell University, 2016. No. arXiv:1503.04461.
Добавлено: 21 марта 2015
Препринт
Yuri Prokhorov, Zaidenberg M. arxiv.org. math. Cornell University, 2014
Добавлено: 18 августа 2014
Препринт
Galkin S., Shinder E. arxiv.org. math. Cornell University, 2012. No. 1210.3339.
Добавлено: 14 сентября 2013
Препринт
Kuznetsov A. G., Polishchuk A. arxiv.org. math. Cornell University, 2011. No. 1110.5607 .
Добавлено: 4 октября 2013
Препринт
Lee K., Shabalin T. arxiv.org. math. Cornell University, 2014
Добавлено: 17 октября 2014
Препринт
Verbitsky M., Grantcharov G., Lejmi M. arxiv.org. math. Cornell University, 2014
Добавлено: 19 сентября 2014
Препринт
Feigin E., Cherednik I. arxiv.org. math. Cornell University, 2013. No.  arXiv:1306.3146.
Добавлено: 24 июня 2013
Препринт
Ye L. arxiv.org. math. Cornell University, 2020
Добавлено: 16 декабря 2019
Препринт
Kamenova L., Verbitsky M. arxiv.org. math. Cornell University, 2012
Добавлено: 6 февраля 2013
Препринт
Val’kov V. V., Kagan M., Aksenov S. arxiv.org. math. Cornell University, 2018
Taking into account an inner structure of the arms of the Aharonov-Bohm ring (AB ring) we have analyzed the transport features related to the Majorana bound states (MBSs) which are induced in a superconducting wire (a SC wire) with strong spin-orbit interaction (SOI). The SC wire acts as a bridge connecting the arms. The in-plane magnetic-field dependence of linear-response conductance obtained using the nonequilibrium Green's functions in the tight-binding approximation revealed the Fano resonances (FRs) if the wire is in the topologically nontrivial phase. The effect is attributed to the presence of bound states in continuum in the AB ring which lifetime is determined by both hopping parameters between subsystems and the SC wire properties. The FRs minima appear at the magnetic fields corresponding to the zero energies of the leads constituting the AB arms. It is established that the FRs shift if the SC pairing reduces or, equivalently, the MBS transforms from the edge to bulk state. In addition, the FR width essentially depends on the MBS spacial distribution. Finally, we demonstrated that the MBS spacial distribution can be also probed in the T-shaped transport scheme where two out of four leads perform as side-coupled ones. The observed possibility to distinguish between the edge- and bulk low-energy states is additionally valuable considering current discussion about the manifestation of Andreev and Majorana excitations in transport properties of the SC wire. The FR properties are analytically studied for effective double-quantum-dot system in one-contact transport regime. The influence of Coulomb interactions in the SC wire on the FR is investigated in the mean-field regime.
Добавлено: 16 октября 2018
Препринт
Galkin S. arxiv.org. math. Cornell University, 2018. No. 1809.02738.
Добавлено: 25 сентября 2018
Препринт
Feigin E., Fourier G., Littelmann P. arxiv.org. math. Cornell University, 2013. No.  arXiv:1306.1292.
Добавлено: 24 июня 2013
Препринт
Cheltsov I., Shramov K. arxiv.org. math. Cornell University, 2018
Добавлено: 21 октября 2018
Препринт
Rybakov S. arxiv.org. math. Cornell University, 2010
Добавлено: 17 декабря 2013
Препринт
Prokhorov Y., Duncan A., Cheltsov I. et al. arxiv.org. math. Cornell University, 2018
Добавлено: 15 октября 2018