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math.PR2020★ 5 cited
On (non-)monotonicity and phase diagram of finitary random interlacement
Zhenhao Cai, Yunfeng Xiong, Yuan Zhang
In this paper, we study the evolution of a Finitary Random Interlacement (FRI) with respect to the expected length of each fiber. In contrast to the previously proved phase transit…
math.PR2019
Branching random walk solutions to the Wigner equation
Sihong Shao, Yunfeng Xiong
The stochastic solutions to the Wigner equation, which explain the nonlocal oscillatory integral operator with an anti-symmetric kernel as {the generator of two branches of j…