Spectral multiplicity for powers of weakly mixing automorphisms

We study the behavior of maximal multiplicities $mm (R^n)$ for the powers of a weakly mixing automorphism $R$. For some special infinite set $A$ we show the existence of a weakly mixing rank-one automorphism $R$ such that $mm (R^n)=n$ and $mm(R^{n+1}) =1$ for all $n\in A$. Moreover, the cardinality $cardm(R^n)$ of the set of spectral multiplicities for $R^n$ is not bounded. We have $cardm(R^{n+1})=1$ and $cardm(R^n)=2^{m(n)}$, $m(n)\to\infty$, $n\in A$. We also construct another weakly mixing automorphism $R$ with the following properties: $mm(R^{n}) =n$ for $n=1,2,3,..., 2009, 2010$ but $mm(T^{2011}) =1$, all powers $(R^{n})$ have homogeneous spectrum, and the set of limit points of the sequence $\{\frac{mm (R^n)}{n} : n\in \N \}$ is infinite

Study of the dependence of Young's modulus of vertically aligned carbon nanotubes on their aspect ratio

The reported study was funded by RFBR according to the research projects No.16-29-14023 ofi_m, No.18-32-00652 and by grant of the Southern Federal University (project No. VnGr-07/2017-26)

Influence of the focused ion beam parameters on the etching of planar nanosized multigraphene/SiC field emitters

The equipment of the Collective Usage Center “Nanotechnologies” and the Research and Educational Center "Nanotechnologies" of Southern Federal University was used for this study. This work was funded by Internal grant of Southern Federal University No. VnGr-07/2017-26

Improving outpatient care in chronic heart failure

Despite advances in pharma and high-technology medicine, the rate of burdensome hospital admissions and mortality in patients with chronic heart failure (CHF) remains high. Over half of all admission-entailing decompensations have been repeatedly shown to emerge from non-compliance with outpatient prescriptions. Poor adherence to medication and non-medication treatment can only be broken by improving the patient’s awareness of the disease and his closer monitoring by healthcare professionals. The power of clinical and laboratory illness monitoring in line with the recommended quality criteria of medical aid in heart failure (HF) is strongly limited today by time resources available in outpatient and midwifery clinics. Meanwhile, an international and certain domestic experience has been built up to run CHF outpatient centres with involvement of specially-trained nursing and senior medical staff. Analytic evidence on such centres suggests a reduction in mortality and hospitalisation rate among the visiting patients. To combat existing drawbacks of CHF outpatient care, the National Medical Research Center of Cardiology in alliance with the Specialist Society of Heart Failure have developed the nurses’ guidelines for CHF rooms and are launching a medical staff training programme to manage CHF rooms, registry and data analysis. Furthermore, a procedure has been developed for patient routing to regional CHF outpatient cabinets that is being actively deployed in the Tyumen Region

Effect of thickness on the piezoelectric properties of LiNbO3 films

The results were obtained using the equipment of Research and Education Center and the Center of collective use “Nanotechnology” of Southern Federal University

Study of growth temperature effect on wetting layer during In/GaAs droplet epitaxy

This work was supported by the Russian Science Foundation Grant No. 15-19-10006. The results were obtained using the equipment of the Research and Education Center and Center for Collective Use "Nanotechnologies" of Southern Federal University