A5040370191- Bayesian Methods and Mixture Models
- Statistical Methods and Inference
- Random Matrices and Applications
- Probability and Risk Models
- Advanced Statistical Methods and Models
- Stochastic processes and statistical mechanics
- Semiconductor Quantum Structures and Devices
- Mathematical Approximation and Integration
- Financial Risk and Volatility Modeling
- advanced mathematical theories
- Stochastic processes and financial applications
- Reservoir Engineering and Simulation Methods
- Photonic and Optical Devices
- Statistical Distribution Estimation and Applications
- Point processes and geometric inequalities
- Advanced Power Generation Technologies
- Oil and Gas Production Techniques
- Silicon Nanostructures and Photoluminescence
- Semiconductor materials and interfaces
- Thermodynamic and Structural Properties of Metals and Alloys
- Mathematical Dynamics and Fractals
- Engineering Technology and Methodologies
- Spectral Theory in Mathematical Physics
- Mathematical functions and polynomials
- Quantum chaos and dynamical systems
Lomonosov Moscow State University
2015-2025
National Research University Higher School of Economics
2015-2025
Moscow State University
2008-2023
Shandong University
2022-2023
Zhangir Khan West Kazakhstan Agrarian Technical University
2023
Saratov State Medical University
2022
Ministry of Health of the Russian Federation
2022
Institute for Physics and Power Engineering
2007-2021
University of Minnesota
2021
Russian State University for the Humanities
2017-2020
Low-salinity water flooding (LSWF) is a technique used in both improved oil recovery (IOR) and enhanced (EOR) may be employed at any stage of hydrocarbon production. The use LSWF very desirable because the low cost operations, lack environmental impact, industry-wide experience with injection during secondary recovery. Indeed, has become favorite topic for academic industry researchers hundreds scientific papers written. Despite volume research into LSWF, standard industrial processes lab...
We derive tight non-asymptotic bounds for the Kolmogorov distance between probabilities of two Gaussian elements to hit a ball in Hilbert space. The key property these is that they are dimension-free and depend on nuclear (Schatten-one) norm difference covariance operators mean shift. obtained significantly improve bound based Pinsker’s inequality via Kullback–Leibler divergence. also establish an anti-concentration squared non-centered element paper presents number examples motivating our...
Пусть $(X_i, i\in J)$ есть семейство локально зависимых неотрицательных целочисленных случайных величин, рассмотрим сумму $W=\sum_{i\in J}X_i$. Используя метод Стейна, мы устанавливаем верхнюю границу для полной вариации $d_{\mathrm{TV}}(W, M)$, где приближающая случайная величина $M$ имеет распределение, являющееся смесью пуассоновского распределения либо с биномиальным, отрицательным биномиальным распределением. Как следствие общих результатов, получаем оценки приближения порядка...
In 1733, de Moivre, investigating the limit distribution of binomial distribution, was first to discover existence normal and central theorem (CLT). this review article, we briefly recall history classical CLT martingale CLT, introduce new directions namely Peng’s nonlinear Chen–Epstein’s as well function.
Photocurrent spectroscopy was employed to study interband optical transitions and the quantum-confined Stark effect in an array of Ge/Si self-assembled quantum dots. The mean diameter height Ge nanoclusters are about 6 nm 4 nm, respectively. Under applied electric field splitting exciton ground state is observed, implying that dots possess two permanent dipole moments opposite sign. We argue possible orientations electron-hole each dot result spatial separation electrons which can be excited...
The effect of Ge deposition rate on the morphology and structural properties self-assembled Ge/Si(001) islands was studied. layers were grown by solid-source molecular-beam epitaxy at 500 °C. We adjusted coverage, 6 monolayers (ML), varied growth a factor 100, R = 0.02–2 ML s−1, to produce films consisting hut-shaped islands. samples characterized scanning tunnelling microscopy, Raman spectroscopy, Rutherford backscattering measurements. mean lateral size nanoclusters decreases from 14.1 nm...
Abstract The surface morphology of Ge 0.96 Sn 0.04 /Si(100) heterostructures grown at temperatures from 250 to 450°C by atomic force microscopy (AFM) and scanning tunnel (STM) ex situ has been studied. statistical data for the density nanodots (ND) depending on their lateral size have obtained. Maximum ND (6 × 10 11 cm -2 ) with average 7 nm can be obtained 250°C. Relying reflection high energy electron diffraction, AFM, STM, it is concluded that molecular beam growth 1- x small...
Asymptotic expansions of the null distribution MANOVA test statistics including likelihood ratio, Lawley-Hotelling and Bartlett-Nanda-Pillai tests are obtained when both sample size dimension tend to infinity with assuming ratio tends a positive constant smaller than one. Cornish-Fisher upper percent points also obtained. In order study accuracy approximation formulas, some numerical experiments done, comparing classical only infinity.
We consider a weak convergence of the power divergence family statistics $\{T_{\lambda}(\boldsymbol{Y}),\lambda\in\mathbb{R}\}$ constructed from multinomial distribution degree $k$, to chi-squared with $k-1$ degrees freedom. show that \Pr(T_{\lambda}(\boldsymbol{Y})<c)=G_{k-1}(c)+ O(n^{-1+ 1/k}) where $G_r(c)$ is function variable $r$ In proof we use E. Hlawka's theorem (1950) on approximation number integer points in convex set closed smooth boundary by volume set.