The limiting density can be expressed as t (F,W) for a symmetric bounded measurable function W on [0,1]2. Our results imply in particular that the limit of a convergent graph sequence is unique up to ...

Graph limit theory provides a rigorous framework for analysing sequences of large graphs by representing them as continuous objects known as graphons – symmetric measurable functions on the unit ...

Every convergent graph sequence has a limit in the form of a symmetric measurable function in two variables. We use these notions of distance and graph limits to give a general theory for parameter ...

We show that the iterates of entire functions have maximal sets of limit functions on many small subsets of the corresponding Julia set. This monthly journal, begun in 1950, is devoted entirely to ...

Many data are suitably modeled by functions consisting of straight-line segments. These functions may be called piecewise-linear. Smooth functions that are related to the hyperbola and that have ...