Large deviations and the maximum entropy principle for marked point random fields

DOI10.1007/BF01192132zbMath0792.60024MaRDI QIDQ1326355

Hans Zessin, Hans-Otto Georgii

Publication date: 24 July 1994

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

maximum entropy principlelarge deviation principlesrandom fields of marked point particles

Mathematics Subject Classification ID

Large deviations (60F10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (32)

Coulomb and Riesz gases: The known and the unknown ⋮ Large deviations and the equivalence of ensembles for Gibbsian particle systems with superstable interaction ⋮ Large deviations analysis for random combinatorial partitions with counter terms ⋮ Large deviations in the quantum quasi-1D jellium ⋮ A variational framework for the inverse Henderson problem of statistical mechanics ⋮ Phase transition in continuum Potts models ⋮ Marked Gibbs point processes with unbounded interaction: an existence result ⋮ Local microscopic behavior for 2D Coulomb gases ⋮ Number-rigidity and \(\beta\)-circular Riesz gas ⋮ Structural properties of Gibbsian point processes in abstract spaces ⋮ Large deviation principle for empirical fields of log and Riesz gases ⋮ A micro-macro variational formula for the free energy of a many-body system with unbounded marks ⋮ A variational formula for the free energy of an interacting many-particle system ⋮ Existence of Gibbs point processes with stable infinite range interaction ⋮ Phase transition for continuum Widom-Rowlinson model with random radii ⋮ Local laws and rigidity for Coulomb gases at any temperature ⋮ Equivalence of ensembles for two-species zero-range invariant measures ⋮ Long-range orientational order of random near-lattice hard sphere and hard disk processes ⋮ N/V-LIMIT FOR LANGEVIN DYNAMICS IN CONTINUUM ⋮ \(R\)-local Delaunay inhibition model ⋮ Large deviations of the empirical volume fraction for stationary Poisson grain models ⋮ Existence of Gibbsian point processes with geometry-dependent interactions ⋮ Cluster Expansions for GIBBS Point Processes ⋮ Distances and large deviations in the spatial preferential attachment model ⋮ A Gibbsian model for message routeing in highly dense multihop networks ⋮ Process level moderate deviations for stabilizing functionals ⋮ Cramér's condition and Sanov's theorem ⋮ The existence of quermass-interaction processes for nonlocally stable interaction and nonbounded convex grains ⋮ A note on the uniqueness result for the inverse Henderson problem ⋮ Lower large deviations for geometric functionals ⋮ CELL GAS MODEL OF CLASSICAL STATISTICAL SYSTEMS ⋮ The equivalence of ensembles for classical systems of particles.

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