Швець, Василь Олександрович(Вид-во УДУ імені Михайла Драгоманова, 2024)
У підручнику подано авторські лекції з навчальної дисципліни «Теорія та методика навчання математики в старшій профільній школі», які впродовж кількох років читаються студентам-магістрантам в Українському державному ...
We consider Vlasov-type scaling for Markov evolution of birth-and-death type in continuum, which is based on a proper scaling of corresponding Markov generators and has an algorithmic realization in terms of related ...
Let J be a monic generalized Jacobi matrix, i.e. a three-diagonal block matrix of special form, introduced by M. Derevyagin and V. Derkach in 2004. We find conditions for a monic generalized Jacobi matrix J to admit a ...
With each sequence of real numbers s = {sj}∞j=0 two kinds of continued fractions are associated, — the so-called P-fraction and a generalized Stieltjes fraction that, in the case when s = {sj}∞j=0 is a sequence of moments ...
We consider the evolution of correlation functions in a non-Markov version of the contact model in the continuum. The memory effects are introduced by assuming the fractional evolution equation for the statistical dynamics. ...
We study existence, uniqueness, and a limiting behavior of solutions to an abstract linear evolution equation in a scale of Banach spaces. The generator of the equation is a perturbation of the operator which satisfies the ...
Let f : M → R be a Morse function on a connected compact surface M, and S(f) and O(f) be respectively the stabilizer and the orbit of f with respect to the right action of the group of diffeomorphisms D(M). In a series of ...
Let X be a connected non-compact 2-dimensional manifold possibly with boundary and Δ be a foliation on X such that each leaf ω ∈ Δ is homeomorphic to and has a trivially foliated neighborhood. Such foliations on the plane ...
Abstract. Let f : M → be a Morse function on a smooth closed surface, V be a connected component of some critical level of f, and EV be its atom. Let also S(f) be a stabilizer of the function f under the right action of ...
Silva, José Luís da; Kochubei, Anatoly N.; Kondratiev, Yuri(2016)
We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. As a by-product we obtain the evolution of the density of particles ...
Pratsiovytyi, M. V.; Klymchuk, S. O.; Makarchuk, O. P.(2016)
We study topological, metric and fractal properties of the level sets Sθ = {x : r(x) = θ} of the function r of asymptotic mean of digits of a number x ∈ [0; 1] in its 4-adic representation, r(x) = lim n→∞ 1 n Xn i=1 αi(x) ...
In this paper we show that Sheffer operators, mapping monomials to certain Sheffer polynomial sequences, such as falling and rising factorials, Charlier, and Hermite polynomials extend to continuous automorphisms on the ...
Silva, José Luís da; Kondratiev, Yuri; Tkachov, Pasha(2018)
In this paper we study the effect of subordination to the solution of a model of spatial ecology in terms of the evolution density. The asymptotic behavior of the subordinated solution for different rates of spatial ...
The main aim of this work is to establish an averaging principle for a wide class of interacting particle systems in the continuum. This principle is an important step in the analysis of Markov evolutions and is usually ...
We introdu e an in nite-dimensional a ne group and onstru t its irredu ible unitary representation. Our approa h follows the one used by Vershik, Gelfand and Graev for the di eomorphism group, but with modi ations made ...
We study families \Phi of coverings which are faithful for the Hausdorff
dimension calculation on a given set E (i. e., special relatively narrow families of
coverings leading to the classical Hausdorff dimension of an ...
In this paper we study Green measures of certain classes of Markov processes. In particular Brownian motion and processes with jump generators with different tails. The Green measures are represented as a sum of a singular ...
This paper is devoted to a study of special subgroups of automorphism
groups of Kronrod-Reeb graphs of Morse functions on 2-torus T2 which arise from
actions of diffeomorphisms preserving a given Morse function on T2 . ...
Full indefinite Stieltjes moment problem is studied via the step-by-step Schur algorithm. Naturally associated with indefinite Stieltjes moment problem are generalized Stieltjes continued fraction and a system of difference ...
A sequence of the real numbers s = \{ si\}\ell i=0 is associated with the some
indefinite Stieltjes moment problem and generalized Jacobi matrices. The relation
between the \alpha - regular indefinite Stieltjes moment ...