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math.PR2024
Sharp asymptotics of disconnection time of large cylinders by simple and biased random walks
Xinyi Li, Yu Liu, Yuanzheng Wang
We investigate the asymptotic disconnection time of a large discrete cylinder , , by simple and biased random walks. For sim…
math.PR2021
Sharpness of phase transition for Voronoi percolation in hyperbolic space
Xinyi Li, Yu Liu
In this paper, we consider Voronoi percolation in the hyperbolic space () and show that the phase transition is sharp. More precisely, we show that for Voron…
math.PR2021★ 6 cited
Ergodic Numerical Approximation to Periodic Measures of Stochastic Differential Equations
Chunrong Feng, Yu Liu, Huaizhong Zhao
In this paper, we consider numerical approximation to periodic measure of a time periodic stochastic differential equations (SDEs) under weakly dissipative condition. For this we f…