34 citations · 96 across the 19 of their papers we have counts for
19 papers
Discrete orthogonal polynomials as a tool for detection of small anomalies of time series: a case study of GPS final orbits
Sergey P. Tsarev, Alexey A. Kytmanov
In this paper, we show that the classical discrete orthogonal univariate polynomials (namely, Hahn polynomials on an equidistant lattice with unit weights) of sufficiently high deg…
On weakly commutative triples of partial differential operators
Sergey P. Tsarev, Vitaly A. Stepanenko
We investigate algebraic properties of weakly commutative triples, appearing in the theory of integrable nonlinear partial differential equations. Algebraic technique of skew field…
New Error Tolerant Method to Search Long Repeats in Symbol Sequences
Sergey Tsarev, Michael Sadovsky
A new method to identify all sufficiently long repeating substrings in one or several symbol sequences is proposed. The method is based on a specific gauge applied to symbol sequen…
On Local Description of Two-Dimensional Geodesic Flows with a Polynomial First Integral
Maxim V. Pavlov, Sergey P. Tsarev
In this paper we construct multiparametric families of two dimensional metrics with polynomial first integral. Such integrable geodesic flows are described by solutions of some sem…
Two-dimensional von Neumann--Wigner potentials with a multiple positive eigenvalue
R. G. Novikov, I. A. Taimanov, S. P. Tsarev
By the Moutard transformation method we construct two-dimensional Schrodinger operators with real smooth potential decaying at infinity and with a multiple positive eigenvalue. The…
Classical Mechanical Systems with one-and-a-half Degrees of Freedom and Vlasov Kinetic Equation
Maxim V. Pavlov, Sergey P. Tsarev
We consider non-stationary dynamical systems with one-and-a-half degrees of freedom. We are interested in algorithmic construction of rich classes of Hamilton's equations with the…