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One-dimensional McKean–Vlasov stochastic Volterra equations with Hölder diffusion coefficients

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  • Jie, Lijuan
  • Luo, Liangqing
  • Zhang, Hua

Abstract

In this paper, based on the tool of Yamada–Watanabe approximation technique, the well-posedness for solutions to one-dimensional McKean–Vlasov stochastic Volterra equations and the rate of the associated propagation of chaos in the sense of Wasserstein distance are established when the diffusion coefficients are Hölder continuous.

Suggested Citation

  • Jie, Lijuan & Luo, Liangqing & Zhang, Hua, 2024. "One-dimensional McKean–Vlasov stochastic Volterra equations with Hölder diffusion coefficients," Statistics & Probability Letters, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:stapro:v:205:y:2024:i:c:s0167715223001943
    DOI: 10.1016/j.spl.2023.109970
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    References listed on IDEAS

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    1. Prömel, David J. & Scheffels, David, 2023. "Stochastic Volterra equations with Hölder diffusion coefficients," Stochastic Processes and their Applications, Elsevier, vol. 161(C), pages 291-315.
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