Analytical and empirical studies have shown that self-similar tra c can have a detrimental impact on network performance including ampli ed queuing delay and packet loss rate. Given the ubiquity of scale-invariant burstiness observed across diverse networking contexts, nding e ective tra c control algorithms capable of detecting and managing self-similar tra c has become an important problem. I...

We study a class of systems of countably many linearly interacting diffusions whose components take values in [0,∞) and which in particular includes the case of interacting (via migration) systems of Feller’s continuous state branching diffusions. The components are labelled by a hierarchical group. The longterm behaviour of this system is analysed by considering space-time renormalised systems...

The geometric structure of nite-dimensional nonlinear systems with dynamics on multiple time-scales is studied by analyzing the time-scale structure present in the associated linear variational system which evolves on the tangent bundle to the state-space. As a rst step, we restrict our attention to a chosen reference orbit of the nonlinear system and analyze the time scales of the linear time-...

We investigate parallelizable schemes for simulating dynamics of conservative systems admitting a decomposition into weakly coupled subsystems. A new method, related to Reversible Averaging [20], is introduced for constrained and unconstrained dynamics. Stability issues are discussed.

Adaptive control of nonlinear systems has been an active area in recent years, but it is difficult to control unknown plants. A common approach to deal with this problem is to utilize the simultaneous identification technique. Neural networks have been employed in the identification and control of unknown nonlinear systems owing to their massive parallelism, fast adaptation and learning capabil...

We present a variant of the HMC algorithm with mass preconditioning (Hasenbusch acceleration) and multiple time scale integration. We have tested this variant for standard Wilson fermions at β = 5.6 and at pion masses ranging from 380MeV to 680MeV. We show that in this situation its performance is comparable to the recently proposed HMC variant with domain decomposition as preconditioner. We gi...

It is known that stray radio frequency signals can produce nonlinear effects that disrupt the operation of circuits, but the mechanisms by which this disruption occurs are not well known. In this paper, an emitter coupled Schmitt trigger circuit is driven with a high-frequency signal to look for disruptive effects. As the circuit makes a transition between mode locked states (period 2 and perio...

Canonical ensemble molecular dynamics simulations of liquid methanol, modeled using a rigidbody, pair-additive potential, are used to compute static distributions and temporal correlations of tagged molecule potential energies as a means of characterising the liquid state dynamics. The static distribution of tagged molecule potential energies shows a clear multimodal structure with three distin...

Real-time traffic processes, such as video, exhibit multiple time scale characteristics, as well as subexponential first and second order statistics. We present recent results on evaluating the asymptotic behavior of a network multiplexer that is loaded with such processes.