2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.AP2026
From PDEs on standard domains to self-similar particle systems on fractals
Georgi Medvedev, Emmanuel Trélat
We construct transported PDEs on self-similar fractal domains from reference equations posed on the unit interval, and derive explicit self-similar interacting particle systems tha…
math-ph2025
The Kuramoto model on the Sierpinski Gasket II: Twisted states
Georgi S. Medvedev, Matthew S. Mizuhara
We study the Kuramoto model (KM) of coupled phase oscillators on graphs approximating the Sierpinski gasket (SG). As the size of the graph tends to infinity, the limit points of th…
math.PR2024★ 2 cited
Metastability in the stochastic nearest-neighbor Kuramoto model of coupled phase oscillators
Nils Berglund, Georgi S. Medvedev, Gideon Simpson
The Kuramoto model (KM) of coupled phase-oscillators is analyzed in this work. The KM on a Cayley graph possesses a family of steady state solutions called twisted states. Topo…