Rarely, if ever, do parties contemplating a joint project commit resources without engaging in non-binding discussions on who does what. Here we argue that such noncommittal discussions may be essential to complete a joint project. We make this point by identifying an interesting class of situations where the private information of the two parties is such that, absent prior discussions, the pro...

This paper will discuss some structural characteristics of uncertain measure. Some new convergence concepts of uncertain sequence are then introduced and the relationships among these convergence concepts are investigated. Finally, several inequalities of uncertain variables are obtained and their applications are discussed.

These three discussions, including one jointly written with Judith Rousseau and one written jointly with Gilles Celeux, Florence Forbes and Mike Titterington, are associated with three papers related to Bayesian model choice. This area of Bayesian statistics is still the object of intense and antagonistic debates and our vision of the field is reflected by these three texts.

[Abstract] Using the gauge field model with massive gauge bosons, we could construct a new model to describe the strong interaction. In this new quantum chromodynamics(QCD) model, we will introduce two sets of gluon fields, one set is massive and another set is massless. Correspondingly, there may exists three sets of glueballs which have the same spin-parity but have different masses. A possib...

The widely studied benchmark problem, 2-D driven cavity flow problem is discussed in details in terms of physical and mathematical and also numerical aspects. A very brief literature survey on studies on the driven cavity flow is given. Based on the several numerical and experimental studies, the fact of the matter is, above moderate Reynolds numbers physically the flow in a driven cavity is no...

During the development of physics, we can see that Equipartition Theorem (EPT) has been redefined many times. In this paper, start with description historical theorem along various definitions given by different scientists. Then found expressions for classical, quantum, and discrete energy systems EPT.