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The fluctuation spectroscopy based on the scaling properties of beta-distribution: Analysis of triple pendulum data of long-time series is suggested. The method is based on the scaling (fractal) properties of the beta

Piecewise linear Lyapunov functions and the localization of spectrum of stable matricesThe relationship is found between the functions number of a piecewise linear Lyapunov function

On a certain functional equation and its application to the Schwarz problemThe Schwarz problem for J-analytic functions in an ellipse is considered. In this case, the matrix

A note on definition of matrix convex functionsWe prove that a real-valued function f defined on an interval S in R is matrix convex if and only

Linear conjugation problem with a triangular matrix coefficient, and the construction of the canonical matrix function is analyzed in detail

Phase representations of the density matrix and quantum distribution functionsA broad class of representations for the density matrix of phase-space functions is proposed

Analytical synthesis of functional observers is considered. We propose an algorithm for analytical synthesis of the minimum-order functional observers based

Binomial probability estimates with restrictions on their d-risks binomial scheme with a quadratic loss function for which a prior beta distribution applies. Unlike

Unique determination of a system by a part of the monodromy matrixFirst-order ODE systems on a finite interval with nonsingular diagonal matrix B multiplying

Orthogonal Polynomials and Fourier Series for Functions of Vector Variable: Multidimensional-Matrix Approach results of the Fourier series are extended to the case of the multidimensional-matrix functions, what

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