most citedDecay of correlations and uniqueness of Gibbs lattice systems with non-quadratic interaction

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2026

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…

math.AP2026

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 .

math-ph2021★ 5 cited

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…