Abstract   We extend the general framework of structural limits from graphs and relational structures to finite structures (including function symbols). For perhaps the simplest model of this type — sets with single unary function — we determine limit objects with respect to the three main fragments of first order. In each of these cases we solve an analog of Aldous-Lyons conjecture. This builds on the experience gained when studying limits of sequences of trees.
['Jaroslav Nešetřil', 'Patrice Ossona de Mendez']
Structural Limits and Approximations of Mappings