https://neckpinch.com/authors/roman-bahadursingh/New arXiv papers by Roman Bahadursingh, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2406.16920/arxiv:2406.16920Mon, 10 Jun 2024 00:00:00 GMTRoman Bahadursingh — In this paper, we investigate the stochastic mean curvature flow (SMCF) on networks, a niche area within stochastic processes and geometric analysis. By applying Ito calculus, we analyze the evolution of network structures influenced by random perturbations. We derive a stochastic differential equation (SDE) for the network edges and utilize numerical simulations to study the stability, long-term behavior, and pattern formation in these systems. Our results offer new insights into the dynamics of complex networks under stochastic influences and open pathways for future research in stochastic geometry.Mean curvature flowStability & uniquenessNumerics & visualization