Hongyan Sun

most citedOn a maximum of nearest-neighbor random walk with asymptotically zero drift on lattice of positive half line

5 citations · 5 across the 1 of their papers we have counts for

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math.PR2020★ 5 cited

On a maximum of nearest-neighbor random walk with asymptotically zero drift on lattice of positive half line

Hongyan Sun, Hua-Ming Wang

Consider a nearest-neighbor random walk with certain asymptotically zero drift on the positive half line. Let $M$ be the maximum of an excursion starting from $1$ and ending at $0.…

math.PR2020

Asymptotics of product of nonnegative 2-by-2 matrices with applications to random walks with asymptotically zero drifts

Hongyan Sun, Hua-Ming Wang

Let $A_{k} A_{k - 1} \dots A_{1}$ be product of some nonnegative 2-by-2 matrices. In general, its elements are hard to evaluate. Under some conditions, we show that $\forall i,j\in\{1,2\}…