Prediction and MDL for infinite sequences.

We combine Solomonoff's approach to universal prediction with algorithmic statistics and suggest to use the computable measure that provides the best "explanation" for the observed data (in the sense of algorithmic statistics) for prediction. In this way we keep the expected sum of squares of prediction errors bounded (as it was for the Solomonoff's predictor) and, moreover, guarantee that the sum of squares of prediction errors is bounded along any Martin-Löf random sequence. An extended abstract of this paper was presented at the 16th International Computer Science Symposium in Russia (CSR 2021) (Milovanov 2021).

Northern Pulmonary Hypertension: A Forgotten Kind of Pulmonary Circulation Pathology.

Northern pulmonary hypertension (NPH) is a medical condition that is still enigmatic in non-Russian-speaking countries. The extant previous literature is mostly available in the Russian language and, therefore, not accessible to the rest of the world. The recent increased interest in climate changes and environmental effects on pulmonary circulation prompted us to summarize the knowledge from the past about the effects of cold on pulmonary vasculature.

Turbulence spreading by resonant wave-wave interactions: A fractional kinetics approach.

This paper is concerned with the processes of spatial propagation and penetration of turbulence from the regions where it is locally excited into initially laminar regions. The phenomenon has come to be known as "turbulence spreading" and witnessed a renewed attention in the literature recently. Here, we propose a comprehensive theory of turbulence spreading based on fractional kinetics.

Adipocytes in the Uterine Wall during Experimental Healing and in Cesarean Scars during Pregnancy.

We have suggested that adipocytes in uterine scars may affect the development of the placenta accrete spectrum (PAS). In the experimental part, we explored adipocytes in the uterine wall by the twelfth sexual cycle after surgery. In the clinical part, we investigated adipocyte clusters in the cesarean scar of pregnant women with and without PAS.

Dynamical chaos in nonlinear Schrödinger models with subquadratic power nonlinearity.

We devise an analytical method to deal with a class of nonlinear Schrödinger lattices with random potential and subquadratic power nonlinearity. An iteration algorithm is proposed based on the multinomial theorem, using Diophantine equations and a mapping procedure onto a Cayley graph. Based on this algorithm, we are able to obtain several hard results pertaining to asymptotic spreading of the nonlinear field beyond a perturbation theory approach.