Stochastic dynamics on product manifolds: twenty five years after

• Date: 2026
• Main Author: Daletskii, Alexei
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8411
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.21; 517.9 We consider an infinite system of stochastic differential equations in a compact manifold $\mathcal{M}.$ The equations are labeled by vertices of a geometric graph with unbounded vertex degrees and coupled via the nearest neighbor interaction. We prove the global existence and uniq...