A new approach towards description of random fields on the $\nu$ -dimensional integer lattice $Z^\nu$ is presented. The random fields are described by means of some functions of subsets of $Z^\nu$ , namely $P$-functions, $Q$-functions, $H$-functions, $Q$-systems, $H$-systems and one-point systems. Interconnection with classical Gibbs description is shown. Special attention is paid to quasilocal case. Non-Gibbsian random fields are also considered. A general scheme for constructing non-Gibbsian random fields is given. The solution to Dobrushin's problem concerning the description of random field by means of its one-point conditional distributions is deduced from our approach. Further the problems of parametric estimation for Gibbs random fie...
This PhD thesis studies theorical and asymptotic properties of processes and random fields with some...
We consider two possible extensions of the standard definition of Gibbs measures for lattice spin sy...
We study the distribution of the occurrence of rare patterns in sufficiently mixing Gibbs random fie...
International audienceThe problem of characterization of Gibbs random fields is considered. Various ...
Gibbs random fields, quasilocality, one‐point systems, nonparametric estimation, break method of sie...
summary:An efficient estimator for the expectation $\int f \d P$ is constructed, where $P$ is a Gibb...
We consider the locally thinned Bernoulli field on ℤ d, which is the lattice version of the Type-I M...
In this paper, we consider the direct and inverse problems of the description of lattice positive ra...
Abstract: We study the distribution of the occurrence of patterns in random fields on the lattice Zd...
We address the issue of the representation of Gibbs random fields over some configuration set by mea...
We consider the i.i.d. Bernoulli field μ p on Z d with occupation density p ∈ [0,1]. To each realiza...
we study the distribution of the occurrence of patterns in random fields on the lattice Zd , d >_...
AbstractWe illustrate the connection between homogeneous perturbations of homogeneous Gaussian rando...
The present thesis addresses two aspects of random fields: sample continuity and the simulation of r...
Quasi arithmetic and Archimedean functionals are used to build new classes of spectral densities for...
This PhD thesis studies theorical and asymptotic properties of processes and random fields with some...
We consider two possible extensions of the standard definition of Gibbs measures for lattice spin sy...
We study the distribution of the occurrence of rare patterns in sufficiently mixing Gibbs random fie...
International audienceThe problem of characterization of Gibbs random fields is considered. Various ...
Gibbs random fields, quasilocality, one‐point systems, nonparametric estimation, break method of sie...
summary:An efficient estimator for the expectation $\int f \d P$ is constructed, where $P$ is a Gibb...
We consider the locally thinned Bernoulli field on ℤ d, which is the lattice version of the Type-I M...
In this paper, we consider the direct and inverse problems of the description of lattice positive ra...
Abstract: We study the distribution of the occurrence of patterns in random fields on the lattice Zd...
We address the issue of the representation of Gibbs random fields over some configuration set by mea...
We consider the i.i.d. Bernoulli field μ p on Z d with occupation density p ∈ [0,1]. To each realiza...
we study the distribution of the occurrence of patterns in random fields on the lattice Zd , d >_...
AbstractWe illustrate the connection between homogeneous perturbations of homogeneous Gaussian rando...
The present thesis addresses two aspects of random fields: sample continuity and the simulation of r...
Quasi arithmetic and Archimedean functionals are used to build new classes of spectral densities for...
This PhD thesis studies theorical and asymptotic properties of processes and random fields with some...
We consider two possible extensions of the standard definition of Gibbs measures for lattice spin sy...
We study the distribution of the occurrence of rare patterns in sufficiently mixing Gibbs random fie...