Large Deviation Principle of Multidimensional Multiple Averages on ${\mathbb{N}}^d$

Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai

This paper establishs the large deviation principle (LDP) for multiple averages on ${\mathbb{N}}^d$. We extend the previous work of [Carinci et al., Indag. Math. 2012] to multidimens…