Large Deviations for Intersections of Random Walks
Large Deviations for Intersections of Random Walks
Abstract We prove a large deviations principle for the number of intersections of two independent infinite‐time ranges in dimension 5 and greater, improving upon the moment bounds of Khanin, Mazel, Shlosman, and Sinaï [9]. This settles, in the discrete setting, a conjecture of van den Berg, Bolthausen, and den Hollander …