The Gibbs sampler is a very simple yet efficient method for the performance evaluation of product form loss networks. This paper introduces the setwise Gibbs sampler as a flexible technique for analysing closed BCMP networks, which model telecommunication networks using window flow control. The efficiency of another variant, the filtered Gibbs sampler (FGS), is also investigated. It is shown th...

In this paper we study a large class of renormalization transformations of measures on lattices. An image of a Gibbs measure under such transformation is called a fuzzy Gibbs measure. Transformations of this type and fuzzy Gibbs measures appear naturally in many fields. Examples include the hidden Markov processes (HMP), memoryless channels in information theory, continuous block factors of sym...

Integration of reaction and separation in one single step has often been claimed to provide enhanced processing and economic results when compared with the traditional configuration where a reaction unit is followed by a downstream separation unit, due to alleviation of kinetic and thermodynamic constraints. This paper quantitatively addresses the kinetic and thermodynamic improvements which ca...

We study gradient models for spins taking values in the integers (or an integer lattice), which interact via a general potential depending only on differences of spin at neighboring sites, located regular tree with d+1 neighbors. first provide conditions terms relevant p-norms associated transfer operator Q ensure existence countable family proper Gibbs measures, describing localization differe...

We consider Ising-spin systems starting from an initial Gibbs measure ν and evolving under a spin-flip dynamics towards a reversible Gibbs measure μ 6= ν. Both ν and μ are assumed to have a finite-range interaction. We study the Gibbsian character of the measure νS(t) at time t and show the following: (1) For all ν and μ, νS(t) is Gibbs for small t. (2) If both ν and μ have a high or infinite t...

The present work is concerned with the development of a new algorithm for determination of the equilibrium composition of gaseous detonations. The elements balance equations, and the second law of thermodynamics (i.e., the minimization of the Gibbs free energy of products), are used to determine the equilibrium composition of the detonation products. To minimize the Gibbs free energy with tradi...