activity
19972025
most citedq-Deformed Orthogonal and Pseudo-Orthogonal Algebras and Their Representations

103 citations · 672 across the 60 of their papers we have counts for

collaborators

60 papers

gr-qc2025★ 1 cited

The -deformed Einstein field equations with -dependent effective cosmological constant

O. P. Mykhailiv, Yu. A. Mishchenko, A. M. Gavrilik

In this paper, we derive the -deformed Einstein field equations from the generalized thermodynamic functions of the -deformed analog of Bose gas model, applying the (adapted)…

cond-mat.stat-mech2024

Scaling behavior and phases of nonlinear sigma model on real Stiefel manifolds near two dimensions

A. M. Gavrilik, A. V. Nazarenko

For a quasi-two-dimensional nonlinear sigma model on the real Stiefel manifolds with a generalized (anisotropic) metric, the equations of a two-charge renormalization group (RG) fo…

astro-ph.GA2023★ 3 cited

Axionlike Dark Matter Model Involving Two-Phase Structure and Two-Particle Composites (Dimers)

A. M. Gavrilik, A. V. Nazarenko

Within the self-gravitating Bose-Einstein condensate (BEC) model of dark matter (DM), we argue that the axionlike self-interaction of ultralight bosons ensures the existence of bot…

astro-ph.GA2023★ 3 cited

New Deformed Heisenberg Algebra from the -Deformed Model of Dark Matter

A. M. Gavrilik, I. I. Kachurik, A. V. Nazarenko

Recently, the -deformation-based approach to modeling dark matter, which exploits -deformed thermodynamics, was extended to the study of galaxy halo density profile and of th…

astro-ph.GA2022

Formation of Dimers in Axion-Like Dark Matter Using the Feshbach Resonance

A. M. Gavrilik, A. V. Nazarenko

Within the model of self-gravitating Bose--Einstein condensate (BEC) dark matter (DM) it is argued that the axion-like self-interaction of ultralight bosons provides the existence…

astro-ph.GA2022★ 2 cited

Bose-Einstein Condensate Dark Matter That Involves Composites

A. M. Gavrilik, A. V. Nazarenko

By improving the Bose-Einstein condensate model of dark matter through the repulsive three-particle interaction to better reproduce observables such as rotation curves, both differ…