Weak convergence to Rosenblatt sheet

作者：Shen, Guangjun^*; Yin, Xiuwei; Zhu, Dongjin

来源：Frontiers of Mathematics in China, 2015, 10(4): 985-1004.

DOI：10.1007/s11464-015-0458-y

• Rosenblatt sheet
• Poisson process
• random walks
• weak convergence

We study the problem of the approximation in law of the Rosenblatt sheet. We prove the convergence in law of two families of process to the Rosenblatt sheet: the first one is constructed from a Poisson process in the plane and the second one is based on random walks.

• 出版日期2015-8
• 单位安徽师范大学