On the $L^p$ Norms of Random Exponential Sums and the Metric Domination Principle over the Simple Random Walk

Yunfan Zhao, Xiaojing Chen

Let $R(n)$ denote the Simple Random Walk on $\mathbb{Z}$. We investigate the $L^p$-norms of random exponential sums of the form $S_A(a,y)={\sum }_{j\in A}{a}_j{e}^{2\pi iyR(j)}$ eval…