Constantine Medynets

collaborators

3 papers

math.GR2026

Characters and $I I_{1}$ -Factor Representations of Full Groups of Cantor Minimal Systems

Artem Dudko, Constantine Medynets

Let $(X, T)$ be a Cantor minimal system, and let $Γ$ denote either its associated topological full group or the full group of a Bratteli diagram associated with $(X, T)$ . In this pap…

math.DS2021

On Spatial Cohesiveness of Second-Order Self-Propelled Swarming Systems

Constantine Medynets, Irina Popovici

The study of emergent behavior of swarms is of great interest for applied sciences. One of the most fundamental questions for self-organizing swarms is whether the swarms disperse…

math.DS2021

On the stability of Rotating States in Second-Order Self-Propelled Multi-Particle Systems

Carl Kolon, Constantine Medynets, Irina Popovici

In this paper, we study the dynamics of a system of $n$ coupled, self-propelled particles: $r ¨_{k} = (α - β ∣ r ˙_{k} ∣^{2}) r ˙_{k} - \frac{γ}{n} \sum_{m = 1}^{n} (r_{k} - r_{m})$ , $r_k\in \mathbb…

Characters and II1​-Factor Representations of Full Groups of Cantor Minimal Systems

On Spatial Cohesiveness of Second-Order Self-Propelled Swarming Systems

On the stability of Rotating States in Second-Order Self-Propelled Multi-Particle Systems

Characters and $I I_{1}$ -Factor Representations of Full Groups of Cantor Minimal Systems