Abstract
The goal of this project is to continue the study of the longest increasing sequences (LIS) of random walks initiated in the scope of the FAPESP grant BPE 2017/22166-9. Previous results suggest some questions about the universality of the distribution of the LIS of simple (step increments -1, +1) and lazy (step increments -1, 0, +1) random walks as well as the possible existence of a phas…