Gaussian fluctuations for stochastic Volterra equations with small noise
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914444140871680 |
|---|---|
| author | Dung, N. T. Hang, N. T. |
| author_facet | Dung, N. T. Hang, N. T. |
| contents | In this paper, we consider a general class of stochastic Volterra equations with small noise. Our aim is to study the fluctuation of the solution around its deterministic limit. We use the techniques of Malliavin calculus to show that the fluctuation process satisfies central limit theorem and provide an optimal estimate for the rate of convergence. An application to stochastic Volterra equations with fractional Brownian motion kernel is given to illustrate the theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gaussian fluctuations for stochastic Volterra equations with small noise Dung, N. T. Hang, N. T. Probability In this paper, we consider a general class of stochastic Volterra equations with small noise. Our aim is to study the fluctuation of the solution around its deterministic limit. We use the techniques of Malliavin calculus to show that the fluctuation process satisfies central limit theorem and provide an optimal estimate for the rate of convergence. An application to stochastic Volterra equations with fractional Brownian motion kernel is given to illustrate the theory. |
| title | Gaussian fluctuations for stochastic Volterra equations with small noise |
| topic | Probability |
| url | https://arxiv.org/abs/2511.12023 |