A characterization of canonical Gibbs fields on \(\mathbb{R}^d\) and \(\mathcal C([0,1],\mathbb{R}^d)\)
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Publication:699232
DOI10.1016/S1631-073X(02)02452-4zbMath1011.60024MaRDI QIDQ699232
Publication date: 2002
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Sums of independent random variables; random walks (60G50) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (2)
Variational estimators for the parameters of Gibbs point process models ⋮ Interacting Brownian particles and Gibbs fields on pathspaces
Cites Work
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- Canonical Gibbs measures. Some extensions of de Finetti's representation theorem for interacting particle systems
- Analysis and geometry on configuration spaces: the Gibbsian case
- A characterization of Gibbs measures on \(C(0,1)^{\mathbb{Z}^ d}\) by the stochastic calculus of variations
- A Gibson approach to infinite-dimensional Brownian diffusions
- Integral and Differential Characterizations of the GIBBS Process
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