Unlabelled Gibbs partitions

Abstract : We study random composite structures considered up to symmetry that are sampled according to weights on the inner and outer structures. This model may be viewed as an unlabelled version of Gibbs partitions and encompasses multisets of weighted combinatorial objects. We describe a general setting characterized by the formation of a giant component. The collection of small fragments is shown to converge in total variation toward a limit object following a Pólya-Boltzmann distribution.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [16 references]  Display  Hide  Download

https://hal-ens-lyon.archives-ouvertes.fr/ensl-01408151
Contributor : Benedikt Stufler <>
Submitted on : Saturday, December 3, 2016 - 11:22:31 AM
Last modification on : Wednesday, December 7, 2016 - 1:01:42 AM

File

unlgibbs.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Benedikt Stufler. Unlabelled Gibbs partitions. 2016. ⟨ensl-01408151⟩

Share

Metrics

Record views

42

Files downloads

31