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D. Koroliouk

Publications and source records attributed to D. Koroliouk.

5 recordsLinked to original sources
arXiv2020

Differential diffusion model with two equilibrium states

The difference diffusion model with two equilibrium states is given by a stochastic equation with two components: the predicted one, which is determined by the regression function of increments with two equilibriums, and the stochastic one, which is the martingale difference. We propose a classification of zones of influence of equilibriums according to asymptotic properties of trajectories of statistical experiments. We study asymptotic behavior of statistical experiments, determined by the sums of $N$ sample values, as $N\to\infty$.

math.PR↗
arXiv2020

Equilibrium in Wright-Fisher models of population genetics

For multivariant Wright-Fisher models in population genetics, we introduce equilibrium states, expressed by fluctuations of probability ratio, in contrast to the traditionally used fluctuations, expressed by the difference between the current value of the random process and its equilibrium value. Then the drift component of the dynamic process of gene frequencies, primarily expressed as a ratio of two quadratic forms, is transformed into a cubic parabola with a certain normalization factor.

math.ST↗
arXiv2020

Dynamics of ternary statistical experiments with equilibrium state

We study the scenarios of the dynamics of ternary statistical experiments, modeled employing difference equations. The important features are a balance condition and the existence of a steady-state (equilibrium). We give a classification of scenarios of the model evolution which are significantly different between them, depending on the domain of the values of the model basic parameters.

stat.OT↗
arXiv2020

The principle of creating quasiperiodic surfaces under the action of vibrating dielectric matrix

A method for creating metasurfaces using a standing wave, formed in a dielectric, is proposed. Such metasurfaces are formed from metal suspensions, deposited on a dielectric plate, placed in a metal frame-screen. A series of parameters for creating the standing waves is discussed. Here the method for creating Hladni figures using acoustic standing waves is transferred to electromagnetic ones. The mathematical description of this model is proposed, as well as the research methods.

physics.app-ph↗