Lulu Tian

collaborators

3 papers

math.PR2026

Degenerate Stochastic Delay Modified Equation: Approximation of Stochastic Variance Reduced Gradient

Ting Zhang, Lulu Tian, Yue Ding

According to the property of stochastic variance reduced gradient (SVRG) algorithms, we construct a class of degenerate stochastic delay modified equations (SDMEs). Using the Linde…

cond-mat.stat-mech2024

Short-time large deviations of first-passage functionals for high-order stochastic processes

Lulu Tian, Hanshuang Chen, Guofeng Li

We consider high-order stochastic processes $x (t)$ described by the Langevin equation $\frac{d ^{m} x ( t )}{d t ^{m}} = 2 D ξ (t)$ , where $ξ (t)$ is a delta-correlated…

cond-mat.stat-mech2024

Short-time large deviation of constrained random acceleration process

Hanshuang Chen, Lulu Tian, Guofeng Li

By optimal fluctuation method, we study short-time distribution $P (A = A)$ of the functionals, $A = \int_{0}^{t_{f}} x^{n} (t) d t$ , along constrained trajectories of ran…