output
20082021
most citedHomologies of path complexes and digraphs

36 citations

11 papers

math.CA2021★ 9 cited

Admissible perturbations of a generalized Langford system

Eduard Musafirov, Alexander Grin, Andrei Pranevich

Admissible perturbations (i.e., perturbations that do not change the Mironenko reflecting function of the system) are obtained for an autonomous three-dimensional quadratic general…

physics.optics2021★ 2 cited

Density of states effects on emission and scattering of photons in plasmas

S. V. Gaponenko, D. V. Guzatov, D. V. Novitsky

Plasma supports electromagnetic waves propagation for frequencies higher than plasma frequency but features dielectric permittivity less than 1. This property leads to photon densi…

physics.optics2018★ 10 cited

Spontaneous Emission of an Optically Active Molecule near a Chiral Nanoellipsoid

Dmitry V. Guzatov, Vasily V. Klimov

We have derived and investigated analytical expressions for the spontaneous emission radiative decay rate of an optically active (chiral) molecule placed near a chiral (bi-isotropi…

physics.optics2018★ 6 cited

Size and host-medium effects on topologically protected surface states in bi-anisotropic 3D optical waveguides

Vasily V. Klimov, Dmitry V. Guzatov, Ilya V. Zabkov +2

We study the optical properties of bi-anisotropic optical waveguides with nontrivial topological structure in wavevector space, placed in an ordinary dielectric matrix. We derive a…

physics.optics2017★ 6 cited

Loss compensation symmetry in dimers made of gain and lossy nanoparticles

Vasily Klimov, Ilya Zabkov, Dmitry Guzatov +1

The eigenoscillations in a two-dimensional dimer made of gain and lossy nanoparticles were investigated within exact analytical approach. It was shown that there are eigenoscillati…

cs.SI2016

Global multi-layer network of human mobility

Alexander Belyi, Iva Bojic, Stanislav Sobolevsky +5

Recent availability of geo-localized data capturing individual human activity together with the statistical data on international migration opened up unprecedented opportunities fo…

math.CO2012★ 36 cited

Homologies of path complexes and digraphs

Alexander Grigor'yan, Yong Lin, Yuri Muranov +1

In this paper we introduce a path complex that can be regarded as a generalization of the notion of a simplicial complex. The main motivation for considering path complexes comes f…

physics.optics2012★ 29 cited

The influence of chiral spherical particles on the radiation of optically active molecules

Dmitry Guzatov, Vasily Klimov

In the framework of the perturbation theory of the nonrelativistic quantum electrodynamics, a theory of spontaneous emission of a chiral molecule located near a chiral (bi-isotropi…

physics.optics2011★ 35 cited

Engineering of radiation of optically active molecules with chiral nano-meta-particles

Vasily V. Klimov, Dmitry V. Guzatov, Martial Ducloy

The radiation of optically active (chiral) molecule placed near chiral nanoparticle is investigated. The optimal conditions for engineering of radiation of optically active (chiral…

physics.optics2008★ 35 cited

Plasmon oscillations in ellipsoid nanoparticles: beyond dipole approximation

D. V. Guzatov, V. V. Klimov, M. Yu. Pikhota

The plasmon oscillations of a metallic triaxial ellipsoid nanoparticle have been studied within the framework of the quasistatic approximation. A general method has been proposed f…

math.GT2008

Surgery in codimension 3 and the Browder--Livesay invariants

Friedrich Hegenbarth, Yurij V. Muranov, Dušan Repovš

The inertia subgroup of a surgery obstruction group is generated by elements which act trivially on the set of homotopy triangulations $\Cal S(X)$ for some closed…