A non-linear model for the description of packet-switched communication networks is presented. This model is combined with a model of an additive increase, multiplicative decrease end-to-end controller to obtain a global description of a controlled packet switched network with buffering delays. The global stability of this general model is then analysed using singular perturbation analysis. It ...

Perturbation theory and renormalization group methods are used to derive a finite-size scaling theory for the partition function zeroes and thermodynamic functions in the O(n) φ 4 model in four dimensions. The leading power–law scaling behaviour is the same as that of the mean field theory. There exist, however, multiplicative logarithmic corrections which are linked to the triviality of the th...

We derive a lower bound for the sample complexity of the Sample Average Approximation method for a certain class of multistage stochastic optimization problems. In previous works, upper bounds for such problems were derived. We show that the dependence of the lower bound with respect to the complexity parameters and the problem's data are comparable to the upper bound's estimates. Like previous...

This paper presents an image space branch-reduction-bound algorithm for solving a class of multiplicative problems (MP). First all, by introducing auxiliary variables and taking the logarithm objective function, equivalent problem (EP) (MP) is obtained. Next, using new linear relaxation technique, parametric programming (PLRP) equivalence can be established acquiring lower bound optimal value t...

It has been recently proposed that the background independent open superstring field theory action is given by the disc partition function with all possible open string operators inserted at the boundary of the disc. We use this proposal to study tachyon condensation in the D0-D2 system. We evaluate the disc partition function for the D0-D2 system in presence of a large Neveu-Schwarz B-field us...

Flow equations method of continuous unitary transformations is used to eliminate the minimal quark-gluon interaction in the light-front quantized QCD Hamiltonian. The coupled differential equations in the two lowest Fock sectors correspond to the renormalization of the light-front gluon mass and the generation of effective quark-antiquark interaction. The influence of the renormalization of the...

Radiative decays of heavy quark bound states have been investigated in the framework of perturbative QCD and have been used to measure the QCD coupling at scales of the order of the heavy quark mass (for recent studies see Refs. [1-3], and references therein). Away from the boundaries of the phase space, the inclusive spectra are expected to be well described by first or second order perturbati...

Igor Klebanov * Department of Physics Joseph Henry Laboratories Princeton University Princeton, N J 08544 These lectures review the fundamentals of the Skyrme model of baryons and its relationship with the non-relativistic quark model and the large-N QCD. Special emphasis is placed on the problems the model experiences in perturbative treatment of SU(3) breaking. It is argued that the strange q...

Recent work suggests that fundamental and Dirichlet strings, and their (p, q) bound states, may be observed as cosmic strings. The evolution of cosmic string networks, and therefore their observational signals, depends on what happens when two strings collide. We study this in string perturbation theory for collisions between all possible pairs of strings; different cases involve sphere, disk, ...

We consider games of complete information with r ≥ 2 players, and study approximate Nash equilibria in the additive and multiplicative sense, where the number of pure strategies of the players is n. We establish a lower bound of r−1 √ lnn−2 ln lnn−ln r ln r on the size of the support of strategy profiles which achieve an ε-approximate equilibrium, for ε < r−1 r in the additive case, and ε < r− ...