Title :
Gibbs models with a variable range of interactions on triangle grid
Author :
Galves, A. ; Pechersky, E. ; Yambartsev, A.
Author_Institution :
Inst. of Math. & Stat., Univ. of Sao Paulo (IME USP), Sao Paulo, Brazil
fDate :
July 31 2011-Aug. 5 2011
Abstract :
We study a generalisation of the notion of Gibbs model in a lattice in which the interactions have variable range. We prove the uniqueness of the measure at high temperature.
Keywords :
geometry; Gibbs models; Gibbsian point processes; active neurons; geometry dependent interactions; triangle grid; Boundary conditions; Educational institutions; Lattices; Mathematical model; Neurons; Temperature measurement; Gibbs random fields; geometrical constraints;
Conference_Titel :
Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4577-0596-0
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2011.6034132
