3 papers
math.AP2026
Benjamini-Schramm limit of the heat semigroup on quantum graphs
Mihály Kovács, Eszter Sikolya
We study the behaviour of heat semigroups on quantum graphs under Benjamini-Schramm convergence. For quantum graphs with uniformly bounded geometry, equipped with continuity and Ki…
math.DS2025
On the strong Feller property of the heat equation on quantum graphs with Kirchoff noise
Mohamed Fkirine, Mihály Kovács, Eszter Sikolya
We consider a so-called quantum graph with standard continuity and Kirchhoff vertex conditions where the Kirchhoff vertex condition is perturbed by Gaussian noise. We show that the…
math.DS2025
Journey Through the World of Dynamical Systems on Networks
A. Puchalska, M. N. Cartier van Dissel, P. Gora +9
We present a subjective selection of methods for complex systems analysis ranging from statistical tools through numerical methods based on AI to both linear and non-linear ODEs an…