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Large and moderate deviations for a -valued branching random walk with a random environment in time
Stochastics ( IF 0.8 ) Pub Date : 2019-10-16 , DOI: 10.1080/17442508.2019.1679145 Chunmao Huang 1 , Xin Wang 1 , Xiaoqiang Wang 2
中文翻译:
时间随机环境中的值分支随机游动的大中度偏差
更新日期:2019-10-16
Stochastics ( IF 0.8 ) Pub Date : 2019-10-16 , DOI: 10.1080/17442508.2019.1679145 Chunmao Huang 1 , Xin Wang 1 , Xiaoqiang Wang 2
Affiliation
We consider a -valued discrete time branching random walk with a stationary and ergodic environment in time. Let be the counting measure of particles of generation n. With the help of the uniform convergence of martingales and multifractal analysis, we show a large deviation result associated to the measures as well as the corresponding moderate deviations.
中文翻译:
时间随机环境中的值分支随机游动的大中度偏差
我们考虑一个 时间稳定和遍历环境的高值离散时间分支随机游动。让是第n代粒子的计数度量。借助of的一致收敛和多重分形分析,我们显示了与测度相关的大偏差结果 以及相应的中等偏差。