43 citations · 289 across the 32 of their papers we have counts for
32 papers
A radial basis of massless potential-density pairs
E. V. Polyachenko, I. G. Shukhman
In the matrix method for linear perturbations of spherical stellar systems, the perturbed potential and density are expanded over a set of potential-density pairs. For radial pertu…
Two sets of potential-density basis pairs for the study of radial perturbations in collisionless spherical stellar systems
E. V. Polyachenko, I. G. Shukhman
The Kalnajs matrix method is a widely used framework for studying the global linear stability and possible Landau damping of collisionless stellar systems. However, for radial pert…
A generalized linear matrix method for normal modes in collisionless stellar disks
Evgeny V. Polyachenko, Ilia G. Shukhman
We generalize the linear matrix method for computing normal modes in collisionless stellar disks to distribution functions with sharp edges at zero angular momentum (). The ge…
Geometric Entropy and Retrieval Phase Transitions in Continuous Thermal Dense Associative Memory
Tatiana Petrova, Evgeny Polyachenko, Radu State
We study the thermodynamic memory capacity of modern Hopfield networks (Dense Associative Memory models) with continuous states under geometric constraints, extending classical ana…
Landau damping of disturbances in nearly inviscid inflectional shear flows
Evgeny V. Polyachenko, Ilia G. Shukhman, Michael Karp
We investigate the structure of damped two-dimensional perturbations in unstable plane-parallel shear flows with an inflection point. In inviscid flows within the stable wavenumber…
Dynamical evolution timescales for the supermassive black hole system in the galaxy NGC 7727 (Arp 222)
P. Berczik, M. Ishchenko, O. Veles +5
Context. A dual active galactic nucleus candidate with a separation of only 500 pc was recently found in NGC 7727. According to the hierarchical merging scenario, such objects woul…