IPM Calendar 
Friday 9 May 2025   Today  
Events for day: Thursday 01 May 2025    
           14:00 - 16:00     Seminar on Mathematical Logic
Graphons, Hypergraphons, and Generic Sampling

School
MATHEMATICS

Intuitively, generic sampling is a method for sampling types over monster models of a first-order theory with respect to a Keisler measure. In practice, this involves studying countably iterated Morley products of relatively tame Keisler measures. Given such a measure, one can straightforwardly derive a corresponding Borel measure on the space of L-structures over the natural numbers. In particular, if the original monster model is a graph (respectively, a hypergraph), then generic sampling yields measures on the space of all graphs (respectively, hypergraphs) on the natural numbers.
A graphon is a symmetric measurable map from $[0,1]^ ...