Variational characterisation of Gibbs measures with Delaunay triangle interactionReport as inadecuate



 Variational characterisation of Gibbs measures with Delaunay triangle interaction


Variational characterisation of Gibbs measures with Delaunay triangle interaction - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: Variational characterisation of Gibbs measures with Delaunay triangle interaction
This paper deals with stationary Gibbsian point processes on the plane with an interaction that depends on the tiles of the Delaunay triangulation of points via a bounded triangle potential. It is shown that the class of these Gibbs processes includes all minimisers of the associated free energy density and is therefore nonempty. Conversely, each such Gibbs process minimises the free energy density, provided the potential satisfies a weak long-range assumption.



Author: David Dereudre; Hans-Otto Georgii

Source: https://archive.org/



DOWNLOAD PDF




Related documents