Monotonicity for excited random walk in high dimensions
Remco van der Hofstad, Mark Holmes
Probability Theory and Related Fields | SPRINGER HEIDELBERG | Published : 2010
The work of RvdH and MH was supported in part by Netherlands Organisation for Scientific Research (NWO). The work of MH was also supported by a FRDF grant from the University of Auckland. The authors thank Itai Benjamini for suggesting this problem to us, Takashi Hara for providing the Green's functions upper bounds in (5.4), and an anonymous referee for many helpful suggestions that significantly improved the presentation of this paper.