Average Entropy of the Ranges for Simple Random Walks on Discrete Groups

Xin-Xing Chen, Jian-Sheng Xie, Min-Zhi Zhao

Inspired by Benjamini et al (Ann. Inst. H. Poincaré Probab. Stat. 2010) and Windisch (Electron. J. Probab. 2010), we consider the entropy of the random walk range formed by a simpl…