First-order limits, an analytical perspective
Combinatorics
2016-08-09 v1 Functional Analysis
Logic
Abstract
In this paper we present a novel approach to graph (and structural) limits based on model theory and analysis. The role of Stone and Gelfand dualities is displayed prominently and leads to a general theory, which we believe is naturally emerging. This approach covers all the particular examples of structural convergence and it put the whole in new context. As an application, it leads to new intermediate examples of structural convergence and to a "grand conjecture" dealing with sparse graphs. We survey the recent developments.
Keywords
Cite
@article{arxiv.1503.07627,
title = {First-order limits, an analytical perspective},
author = {Jaroslav Nesetril and Patrice Ossona de Mendez},
journal= {arXiv preprint arXiv:1503.07627},
year = {2016}
}