output
20022026
most cited2D materials and van der Waals heterostructures

7.4k citations

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Showing 2004 · math.PRShow all

2 papers · 2 filters

math.PR2004★ 47 cited

Maxima of asymptotically Gaussian random fields and moderate deviation approximations to boundary crossing probabilities of sums of random variables with multidimensional indices

Hock Peng Chan, Tze Leung Lai

Several classical results on boundary crossing probabilities of Brownian motion and random walks are extended to asymptotically Gaussian random fields, which include sums of i.i.d.…

math.PR2004★ 219 cited

Normal approximation under local dependence

Louis H. Y. Chen, Qi-Man Shao

We establish both uniform and nonuniform error bounds of the Berry-Esseen type in normal approximation under local dependence. These results are of an order close to the best possi…