| Full text | |
| Author(s): |
Knorst, Josue
;
Olivera, Christian
;
de Souza, Alexandre B.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 549, n. 2, p. 20-pg., 2025-05-02. |
| Abstract | |
We study two interacting particle systems, both modeled as a system of N stochastic differential equations driven by Brownian motions with singular kernels and moderate interaction. We show a quantitative result where the convergence rate depends on the moderate scaling parameter, the regularity of the solution of the limit equation and the dimension. Our approach is based on the techniques of stochastic calculus, some properties of Besov and Triebel-Lizorkin space, and the semigroup approach introduced in [12]. New techniques are presented to address the difficulty arising from the nonlinear term. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU) | |
| FAPESP's process: | 22/13413-0 - Decomposition of flows in averaging principles and stochastic transport equation |
| Grantee: | Josué Knorst |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 20/04426-6 - Stochastic dynamics: analytical and geometrical aspects with applications |
| Grantee: | Paulo Regis Caron Ruffino |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 22/03379-0 - Stochastic and deterministic analysis for irregular models |
| Grantee: | Christian Horacio Olivera |
| Support Opportunities: | Regular Research Grants |