3 papers
math-ph2000
The Large Deviation Principle for Coarse-Grained Processes
R. S. Ellis, K. Haven, B. Turkington
The large deviation principle is proved for a class of -valued processes that arise from the coarse-graining of a random field. Coarse-grained processes of this kind form the…
math-ph2000
Nonequivalent Statistical Equilibrium Ensembles and Refined Stability Theorems for Most Probable Flows
R. S. Ellis, K. Haven, B. Turkington
Statistical equilibrium models of coherent structures in two-dimensional and barotropic quasi-geostrophic turbulence are formulated using canonical and microcanonical ensembles, an…
math.PR2000
Large Deviation Principles and Complete Equivalence and Nonequivalence Results for Pure and Mixed Ensembles
R. S. Ellis, K. Haven, B. Turkington
We consider a general class of statistical mechanical models of coherent structures in turbulence, which includes models of two-dimensional fluid motion, quasi-geostrophic flows, a…