5 citations · 7 across the 4 of their papers we have counts for
4 papers
Meander diagrams of virtual knots
Y. Belousov, V. Chernov, A. Malyutin +1
For classical knots, there is a concept of (semi)meander diagrams; in this short note we generalize this concept to virtual knots and prove that the classes of meander and semimean…
On irreducible meanders growth rate
Y. Belousov, A. Malyutin
In this article, we provide upper and lower bounds for the growth rate of irreducible meanders. The obtained upper bound implies that the proportion of irreducible meanders among a…
On the geometric structures in evolutionary games on square and triangular lattices
Evgeni Burovski, Aleksandr Malyutin, Lev Shchur
We study a model of a spatial evolutionary game, based on the Prisoner's dilemma for two regular arrangements of players, on a square lattice and on a triangular lattice. We analyz…
Dynamic fractals in spatial evolutionary games
Sergei Kolotev, Aleksandr Malyutin, Evgeni Burovski +2
We investigate critical properties of a spatial evolutionary game based on the Prisoner's Dilemma. Simulations demonstrate a jump in the component densities accompanied by drastic…