21 citations
6 papers
Robust linear regression with broad distributions of errors
Eugene B. Postnikov, Igor M. Sokolov
We consider the problem of linear fitting of noisy data in the case of broad (say -stable) distributions of random impacts ("noise"), which can lack even the first moment. This…
Spectral properties of fractional Fokker-Plank operator for the Lévy flight in a harmonic potential
Ralf Toenjes, Igor M. Sokolov, Eugene B. Postnikov
We present a detailed analysis of the eigenfunctions of the Fokker-Planck operator for the Lévy-Ornstein-Uhlenbeck process, their asymptotic behavior and recurrence relations, expl…
Tait equation revisited from the entropic and fluctuational points of view
E. B. Postnikov, A. L. Goncharov, V. V. Melent'ev
We consider the possibilities for prediction of liquids' density under pressure basing on the inverse reduced fluctuations parameter, which is directly connected with the isotherma…
Prediction of flu epidemic activity with dynamical model based on weather forecast
Eugene B. Postnikov, Dmitry V. Tatarenkov
The seasonality of respiratory diseases (common cold, influenza, etc.) is a well-known phenomenon studied from ancient times. The development of predictive models is still not only…
Limits of structure stability of simple liquids revealed by study of relative fluctuations
A. L. Goncharov, V. V. Melent'ev, E. B. Postnikov
We analyse the inverse reduced fluctuations (inverse ratio of relative volume fluctuation to its value in the hypothetical case where the substance acts an ideal gas for the same t…
Model of lateral diffusion in ultrathin layered films
Eugene B. Postnikov, Igor M. Sokolov
We consider the diffusion of markers in a layered medium, with the lateral diffusion coefficient being the function of hight. We show that the probability density of the lateral di…