2011/04/07 by Svante Janson, Janson, Svante
Mathematics · #Advanced Topology and Set Theory #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #math.CO #msc:06A06
paper · pdf · doi:10.48550/arxiv.1104.1264
18 pages
arxiv created 2011/04/07 · arxiv updated 2011/04/08
We study poset limits given by sequences of finite interval orders or, as a special case, finite semiorders. In the interval order case, we show that every such limit can be represented by a probability measure on the space of closed subintervals of [0,1], and we define a subset of such measures that yield a unique representation. In the semiorder case, we similarly find unique representations by a class of distribution functions.