Hierarchical pinning model in correlated random environment
We consider the hierarchical disordered pinning model studied in ( (1992) 1189–1213), which exhibits a localization/delocalization phase transition. In the case where the disorder is i.i.d. (independent and identically distributed), the question of relevance/irrelevance of disorder (i.e. whether disorder changes or not the critical properties with respect to the homogeneous case) is by now mathematically rather well understood ( (2010) 159–175, (2010)...