From the 1 of 5 linked papers with an AI index.
5 papers
Graphon Spin Systems as Exactly Solvable Models
Artem Alexandrov, Georgi S. Medvedev
Graphons are measurable functions used to describe the asymptotic behavior of convergent graph families. Originally motivated by problems in combinatorics and graph theory, graphon…
Duck hunting with quantum mechanics
Artem Alexandrov
We bridge two sides of singular perturbation theory: the classical theory of slow-fast systems and the semi-classical approach to quantum mechanical systems. For a specific but phy…
Three-Dimensional Kardar--Parisi--Zhang Scaling in Polariton Condensates
Junhui Cao, Denis Novokreschenov, Artem Alexandrov +2
The authors propose a three‑dimensional exciton‑polariton crystal as a platform to observe KPZ universality in three spatial dimensions, deriving an effective 3+1‑dimensional KPZ e…
Phase transitions in the Ising model on random graphs
Artem Alexandrov, Georgi S. Medvedev
We study phase transitions in the Ising model on random graphs using graph limits. We show that the critical temperatures are determined by the eigenvalues of the kernel operator a…
Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking
Artem Alexandrov, Alexey Glutsyuk
The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an…