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Gibbs random graphs on point processes
(AMER INST PHYSICS, 2010)
Consider a discrete locally finite subset Gamma of R(d) and the cornplete graph (Gamma, E), with vertices Gamma and edges E. We consider Gibbs measures on the set of sub-graphs with vertices Gamma and edges E` subset of ...
Stability of gas measures under perturbations and discretizations
(World Scientific, 2016-11)
For a general class of gas models — which includes discrete and continuous Gibbsian models as well as contour or polymer ensembles — we determine a diluteness condition that implies: (1) uniqueness of the infinite-volume ...
Chains of Infinite Order, Chains with Memory of Variable Length, and Maps of the Interval
(SPRINGERNEW YORK, 2012)
We show how to construct a topological Markov map of the interval whose invariant probability measure is the stationary law of a given stochastic chain of infinite order. In particular we characterize the maps corresponding ...
Bayesian calibration under a student-t model
(SPRINGER HEIDELBERG, 1998)
In this paper we consider linear calibration problems in regressions models with independent errors distributed according to the Student-t distribution. The approach followed is Bayesian, thus, involving the need for the ...