A coassociativeC *-quantum group with nonintegral dimensions

By weakening the counit and antipode axioms of aC ^*-Hopf algebra and allowing for the coassociative coproduct to be nonunital, we obtain a quantum group, that we call aweak C ^*-Hopf algebra, which is sufficiently general to describe the symmetries of essentially arbitrary fusion rules. This amounts to generalizing the Baaj-Skandalis multiplicative unitaries to multipicative partial isometries. Every finite-dimensional weakC ^*-Hopf algebra has a dual which is again a weakC ^*-Hopf algebra. An explicit example is presented with Lee-Yang fusion rules. We briefly discuss applications to amalgamated crossed products, doubles, and quantum chains.Supported by the Hungarian Scientific Research Fund, OTKA T 016 233.Supported by the Hungarian Scientific Research Fund, OTKA-1815.     

Centralized and decentralized stochastic routing models in telecommunication networks

With the advent of non-hierarchical routing in circuit-switched telecommunication networks, on-line routing policies have been developed with the objective of optimizing some measure of gain or performance. These policies are decentralized. However, traditional planning models are centralized models. We present a decentralized routing model to be used in network planning. We compare it theoretically and empirically with a centralized multicommodity flow model previously presented. The two models are solved by the same type of algorithm, a convex simplex implementation, adapted differently according to the model. Comparative results between planning models reproducing the two policies are discussed.     

The construction of pointlike localized charged fields from conformal Haag—Kastler nets

Starting from a chiral conformal Haag-Kastler net on two-dimensional Minkowski space we construct associated charged pointlike localized fields which intertwine between arbitrary superselection sectors with finite statistics of the theory. This amounts to a proof of the Spin-Statistics theorem, the PCT theorem and the existence of operator product expansions.This Letter generalizes similar results of a recently published paper by Fredenhagen and the author from the neutral vacuum sector to the the full theory with arbitrary charge and finite statistics.     

Isometric motions of a relativistic simple fluid

Some properties characterising the isometric motion of a relativistic simple fluid are pointed out. Corresponding to several state equations, the barometric formulas of the fluid are obtained. Finally the particular case of an incopressible fluid, from the relativistic point of view [3], is considered.     

Bayesian methods in global optimization

This paper reviews methods which have been proposed for solving global optimization problems in the framework of the Bayesian paradigm.