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Large deviation principle for reflected stochastic differential equations driven by G-Brownian motion in non-convex domains - MaRDI portal

Large deviation principle for reflected stochastic differential equations driven by G-Brownian motion in non-convex domains (Q2105378)

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scientific article; zbMATH DE number 7629089
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Large deviation principle for reflected stochastic differential equations driven by G-Brownian motion in non-convex domains
scientific article; zbMATH DE number 7629089

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    Large deviation principle for reflected stochastic differential equations driven by G-Brownian motion in non-convex domains (English)
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    8 December 2022
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    In this paper, the authors consider a reflected stochastic differential equation (RSDE) driven by G-Brownian motion. A large deviation principle is established for the solution of the RSDE in non-convex domains. Moreover, the authors also prove a convergence rate for the solution of the RSDE to the solution of a deterministic Skorohod equation. The results are new and interesting.
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    large deviations
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    Skorohod problem
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    G-Brownian motion
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    stochastic differential equations
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    non-convex reflecting boundaries
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