The spin correlation function in 2D statistical mechanics models with inhomogeneous line defects

on some bayesian statistical models in actuarial science with emphasis on claim count

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Statistical Mechanics of Shell Models for 2D-Turbulence

We study shell models that conserve the analogues of energy and enstrophy, hence designed to mimic fluid turbulence in 2D. The main result is that the observed state is well described as a formal statistical equilibrium, closely

Inhomogeneous Cellular Automata and Statistical Mechanics

An inhomogeneous cellular automaton is considered consisting of two two-dimensional planes, one of which contains the t ransition functions or programs and the other the evolving data. Wi th a two-level hierarchy, basic experiments are performed with quenched and a nnealed XOR and AND functions . These funct ions were dist r ibuted both at random a nd with correla ti ons produced by a Glauber a...

Models in Statistical Mechanics †

Spin–spin critical point correlation functions for the 2D random bond Ising and Potts models

We compute the combined two and three loop order correction to the spin-spin correlation functions for the 2D Ising and q-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group approach for the perturbation series around the conformal field theories representing the pure models. We obtain corrections for the correlations functions which p...