14 citations · 24 across the 5 of their papers we have counts for
6 papers
A Pseudo-Differential Operator of the -Adic Multiplicative Calculus
Alexandra V. Antoniouk, Anatoly N. Kochubei, Mariia V. Serdiuk
We introduce and study a pseudo-differential operator , defined via the -adic Mellin transformation, acting on real- or complex-valued functions on the multiplicative group…
Monotonicity Property of Non-Archimedean Heat Equation
Alexandra V. Antoniouk, Anatoly N. Kochubei
We prove the monotone dependence of the heat kernel corresponding to the Vladimirov-Taibleson non-Archimedean fractional differentiation operator on the order .
Pseudo-Differential Equations with Weak Degeneration for Radial Functions of -adic Argument
Alexandra V. Antoniouk, Anatoly N. Kochubei, Mariia V. Serdiuk
In earlier papers (A. N. Kochubei, Pacif. J. Math., 269 (2014), 355-369; J. Math. Anal. Appl.483 (2020), Article 123609), one of the authors developed a theory of pseudo-differenti…
Decay of correlations and uniqueness of Gibbs lattice systems with non-quadratic interaction
Alexander Val. Antoniouk, Alexandra Vict. Antoniouk
We aim this paper to develop the classical lattice models with unbounded spin to the case of non-quadratic polynomial interaction. We demonstrate that the distinct relation between…
Kolmogorov-Sinai entropy via separation properties of order-generated sigma-algebras
Alexandra Antoniouk, Karsten Keller, Sergiy Maksymenko
In a recent paper, K.Keller has given a characterization of the Kolmogorov-Sinai entropy of a discrete-time measure-preserving dynamical system on the base of an increasing sequenc…
Contractibility of manifolds by means of stochastic flows
Alexandra Antoniouk, Sergiy Maksymenko
In the paper [Probab. Theory Relat. Fields, 100 (1994) 417-428] Xue-Mei Li has shown that the moment stability of an SDE is closely connected with the topology of the underlying ma…