Search Results - "Khartov, A. A"
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Asymptotics of Average Case Approximation Complexity for Tensor Products of Euler Integrated Processes
Published in Journal of mathematical sciences (New York, N.Y.) (01-05-2024)“…Random fields that are tensor products of d Euler integrated processes are considered. The average case approximation complexity for a given random field is…”
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2
Quasi-Infinite Divisibility and Three-Point Probability Laws
Published in Journal of mathematical sciences (New York, N.Y.) (01-12-2022)“…Discrete three-point probability laws are considered. Necessary and sufficient conditions for belonging to a new class of quasi-infinitely divisible laws are…”
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A simplified criterion for quasi-polynomial tractability of approximation of random elements and its applications
Published in Journal of Complexity (01-06-2016)“…We study approximation properties of sequences of centered random elements Xd, d∈N, with values in separable Hilbert spaces. We focus on sequences of tensor…”
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4
On Convergence and Compactness in Variation with a Shift of Discrete Probability Laws
Published in Vestnik, St. Petersburg University. Mathematics (01-07-2021)“…We consider a class of discrete distribution functions whose characteristic functions are separated from zero, i.e., their absolute values are larger than a…”
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5
Decomposition of Additive Random Fields
Published in Vestnik, St. Petersburg University. Mathematics (2020)“…We consider in this work an additive random field on [0, 1] d , which is a sum of d uncorrelated random processes. We assume that the processes have zero mean…”
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An Estimate of Average Case Approximation Complexity for Tensor Degrees of Random Processes
Published in Vestnik, St. Petersburg University. Mathematics (01-10-2021)“…We consider random fields that are tensor degrees of a random process of second order with a continuous covariance function. The average case approximation…”
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Characteristic Functions and Compactness of Distributions of Sums of Independent Random Variables
Published in Journal of mathematical sciences (New York, N.Y.) (09-03-2018)“…The sequences of distributions of centered sums of independent random variables are considered within the framework of the series scheme, without assuming the…”
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On weak convergence of quasi-infinitely divisible laws
Published 28-04-2022“…Pacific J. Math. 322 (2023) 341-367 We study a new class of so-called quasi-infinitely divisible laws, which is a wide natural extension of the well known…”
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9
A criterion of quasi-infinite divisibility for discrete laws
Published in Statistics & probability letters (01-06-2022)“…We consider arbitrary discrete probability laws on the real line. We obtain a criterion of their belonging to a new class of quasi-infinitely divisible laws,…”
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Compactness criteria for quasi-infinitely divisible distributions on the integers
Published in Statistics & probability letters (01-10-2019)“…We consider the class of quasi-infinitely divisible distributions. These distributions have appeared before in the theory of decompositions of probability…”
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11
Estimation of parameters of radio-frequency ion injector with an additional magnetostatic field
Published in Acta astronautica (01-05-2022)“…The paper presents the results of theoretical study for the influence of an additional magnetostatic field applied to the radio-frequency discharge region on…”
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12
Asymptotic analysis in multivariate worst case approximation with Gaussian kernels
Published in Journal of Complexity (01-06-2024)“…We consider a problem of approximation of d-variate functions defined on Rd which belong to the Hilbert space with tensor product-type reproducing Gaussian…”
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13
Spreading Features of SPT Jets in Vacuum Chamber
Published in Russian aeronautics (01-10-2021)“…Processes of accelerated ions attenuation due to the resonance charge exchange and elastic scattering processes are examined in the paper. In addition, we…”
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14
Radio-Frequency Ion Thruster with Additional Magnetic Field: Experimental Investigation
Published in Thermal engineering (01-12-2018)“…Performances of a radio-frequency ion thruster with an additional external magnetic field in the area of the high-frequency discharge are experimentally…”
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15
Air-Breathing Ramjet Electric Propulsion for Controlling Low-Orbit Spacecraft Motion to Compensate for Aerodynamic Drag
Published in Solar system research (01-12-2017)“…Problems on designing the air-breathing ramjet electric propulsion thruster for controlling loworbit spacecraft motion are examined in the paper. Information…”
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16
Asymptotic analysis in multivariate average case approximation with Gaussian kernels
Published in Journal of Complexity (01-06-2022)“…We consider tensor product random fields Yd, d∈N, whose covariance functions are Gaussian kernels with a given sequence of length scale parameters. We…”
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17
Asymptotic analysis of average case approximation complexity of Hilbert space valued random elements
Published in Journal of Complexity (01-12-2015)“…We study approximation properties of sequences of centered random elements Xd, d∈N, with values in separable Hilbert spaces. We focus on sequences of tensor…”
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18
Investigation of promising ceramic materials in discharge chambers of stationary plasma thrusters
Published in Russian aeronautics (01-12-2008)“…The characteristics of the insulator wear process in the discharge chamber of a stationary plasma thruster (SPT) are analyzed. The results of studying the…”
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19
Development of the Radio-Frequency Ion Thruster on Atmospheric Gases
Published in Thermal engineering (01-12-2017)“…The paper presents the results of the first experiments on the implementation of the concept of electric propulsion thrusters that use atmospheric gases as…”
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20
Solid nanomembrane manufacture using ion-plasma action
Published in Russian aeronautics (2012)“…A process of manufacture of porous membranes made of aluminum foil (Al 99.99%) by the method of electrochemical anodic oxidation followed by a continuous…”
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