Convexity and Augmented Lagrangians Regina S. Burachik University of South Australia and University of Ballarat Workshop on Advances in Continuous Optimization Reykjavik, Iceland Friday June 30 and Saturday July 1, 2006

Finite-size scaling expressions for the current near the continuous phase transition and for the local density near the first-order transition are found in the steady state of the one-dimensional fully asymmetric simple-exclusion process with open boundaries and discrete-time dynamics. The corresponding finite-size scaling variables are identified as the ratio of the chain length to the localiz...

Knowledge of the behavior of stochastic optical fields can aid the understanding of the scintillation of light propagating through a turbulent medium. For this purpose, we perform a numerical investigation of the evolution of the scintillation index and the optical vortex density in a speckle field after removing its continuous phase. We find that both the scintillation index and the vortex den...

A high-efficiency tri-band quasi-continuous phase gradient metamaterial is designed and demonstrated based on spoof surface plasmon polaritons (SSPPs). High-efficiency polarizaiton conversion transmission is firstly achieved via tailoring phase differece between the transmisive SSPP and the space wave in orthogonal directions. As an example, a tri-band circular-to-circular (CTC) polarization co...

The finite-size scaling (FSS) theory for continuous phase transitions has been useful in determining the critical behavior from the size-dependent behaviors of thermodynamic quantities. When the phase transition is discontinuous, however, FSS approach has not been well established yet. Here, we develop a FSS theory for the explosive percolation transition arising in the Erdős and Rényi model un...

“Mojo Nation” was a network for robust, decentralized file storage and transfer. It was first released to the public in July, 2000, and remained in continuous operation until February, 2002. Over 100,000 people downloaded and used the Mojo Nation software. We observe some surprising and problematic behavior of the users as a group. We describe several specific problems in the design of Mojo Nat...

Context-aware application models can provide personalized services to users through user-centric integration of contexts. Recently, several research activities on context integration have been reported. However, the existing research activities don’t consider much how contexts are integrated in a unified way. In this paper, we propose a unified method of user-centric integration of contexts for...

Information resiliency refers to the continuous availability of uncorrupted mission-critical information to support business or military operations, even under the threat of a cyber attack. An information resilient enterprise will continue to engage in its critical operations, despite the attacker’s attempts to intrude, corrupt or deny service. The manner and efficiency with which the operation...

In this paper we shed light on why academics are in one of the best positions to orchestrate inter-organizational initiatives of Continuous Innovation (CI) within an innovation context that is shifting towards an Open Collaborative Ecosystem mode. Two rationales seem to explain the potential key role of academics within a CI ecosystem: (i) their independence; (ii) their compliance to CI ecosyst...