ar X iv : m at h / 99 02 02 5 v 1 [ m at h . O C ] 3 F eb 1 99 9 Notions of Input to Output Stability

ar X iv : h ep - t h / 99 02 02 7 v 1 3 F eb 1 99 9 INFRARED REGION OF QCD AND CONFINEMENT

Gauge field configurations appropriate for the infrared region of QCD is proposed. Using the usual QCD action, confinement is realized as in the London theory of Meissner effect.

ar X iv : a st ro - p h / 99 02 06 2 v 1 4 F eb 1 99 9 SOURCES OF RELATIVISTIC JETS IN THE GALAXY

ar X iv : h ep - p h / 96 02 20 5 v 1 1 F eb 1 99 6 Multiplicity Distributions in QCD and λφ 36 - model

ar X iv : m at h / 98 02 04 5 v 1 [ m at h . PR ] 9 F eb 1 99 8 STOCHASTIC BIFURCATION MODELS

We study an ordinary differential equation controlled by a stochastic process. We present results on existence and uniqueness of solutions, on associated local times (Trot-ter and Ray-Knight theorems), and on time and direction of bifurcation. A relationship with Lipschitz approximations to Brownian paths is also discussed.

ar X iv : m at h / 99 02 06 1 v 1 [ m at h . O A ] 9 F eb 1 99 9 On representations of partial ∗ - algebras based on B - weights

A generalization of the GNS-representation is investigated that represents partial ∗-algebras as systems of operators acting on a partial inner product space (PIP -space). It is based on possibly indefinite B-weights which are closely related to the positive B-weights introduced by J.-P. Antoine, Y. Soulet and C. Trapani. Some additional assumptions had to be made in order to guarantee the GNS-...