15 citations · 29 across the 4 of their papers we have counts for
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math.PR2013★ 15 cited
Open quantum random walks with decoherence on coins with degrees of freedom
Sheng Xiong, Wei-Shih Yang
In this paper, we define a new type of decoherent quantum random walks with parameter , which becomes a unitary quantum random walk (UQRW) when and an open quant…
math.PR2011★ 14 cited
Convergence of quantum random walks with decoherence
Shimao Fan, Zhiyong Feng, Sheng Xiong +1
In this paper, we study the discrete-time quantum random walks on a line subject to decoherence. The convergence of the rescaled position probability distribution depends…
math.PR2010
A proof of a conjecture in the Cramér-Lundberg model with investments
Shimao Fan, Sheng Xiong, Wei-Shih Yang
In this paper, we discuss the Cramér-Lundberg model with investments, where the price of the invested risk asset follows a geometric Brownian motion with drift and volatility $…