Qian Yu

activity

20242026

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math.PR2026

Uniform-in-Time Smoluchowski-Kramers Approximation in Total Variation for Fractional SDEs

Qian Yu, Jiaxin Zha

Let $B^{H}$ be a one-dimensional fractional Brownian motion with Hurst index $H \in (1/2, 1)$ . We study the small-mass limit of the kinetic equation \[ dX_t^μ=Y_t^μ\,dt,\qquad μ\,dY_t^μ…

math.PR2026

Strong existence for SDEs with singular drifts driven by fractional Brownian motion

Jiazhen Gu, Qian Yu

Let $B^{H}$ be a $d$ -dimensional fractional Brownian motion with Hurst parameter $H \in (0, 1/2)$ . We prove the existence of a strong solution to $$d X_t=b(t,X_t)d t+d B_t^H, X_0=x_0\in…