44 citations · 51 across the 6 of their papers we have counts for
4 papers · 1 filter
Bounds on the number of vertices of sublattice-free lattice polygons
Nikolai Bliznyakov, Stanislav Kondratyev
In this paper we establish bounds on the number of vertices for a few classes of convex sublattice-free lattice polygons. The bounds are essential for proving the formula for the c…
Existence of sublattice points in lattice polygons
Nikolai Bliznyakov, Stanislav Kondratyev
We state the formula for the critical number of vertices of a convex lattice polygon that guarantees that the polygon contains at least one point of a given sublattice and give a p…
A new multicomponent Poincaré-Beckner inequality
S. Kondratyev, L. Monsaingeon, D. Vorotnikov
We prove a new vectorial functional inequality of Poincaré-Beckner type. The inequality may be interpreted as an entropy-entropy production one for a gradient flow in the metric sp…
A fitness-driven cross-diffusion system from polulation dynamics as a gradient flow
Stanislav Kondratyev, Léonard Monsaingeon, Dmitry Vorotnikov
We consider a fitness-driven model of dispersal of interacting populations, which was previously studied merely in the case . Based on some optimal transport distance rece…