in this paper, a stochastic two-stage model is offered for optimization of the day-ahead scheduling of the microgrid. system uncertainties including dispatchable distributed generation and energy storage contingencies are considered in the stochastic model. for handling uncertainties, monte carlo simulation is employed for generation several scenarios and then a reduction method is used to d...

In this article we discuss several aspects of the stochastic dynamics of spin models. The paper has two independent parts. Firstly, we explore a few properties of the multi-point correlations and responses of generic systems evolving in equilibrium with a thermal bath. We propose a fluctuation principle that allows us to derive fluctuation-dissipation relations for many-time correlations and li...

We study the extremal behavior of a stochastic integral driven by a multivariate Lévy process that is regularly varying with index α > 0. For predictable integrands with a finite (α + δ)-moment, for some δ > 0, we show that the extremal behavior of the stochastic integral is due to one big jump of the driving Lévy process and we determine its limit measure associated with regular variation on t...

Recent research in both the experimental and mathematical communities has focused on biochemical interaction systems that satisfy an “absolute concentration robustness” (ACR) property. The ACR property was first discovered experimentally when, in a number of different systems, the concentrations of key system components at equilibrium were observed to be robust to the total concentration levels...

This research focuses on the development of a proactive system (a Web-based Surveillance and Auditing Tool WebSAT), which promotes standardization in data collection and identifies the contributing factors that impact aircraft safety. This system will document the processes and the outcomes of maintenance activities, make the results more accessible, and reduce future maintenance error rates. W...

Abstract. Chemical organisation theory is a framework developed to simplify the analysis of long-term behaviour of chemical systems. An organisation is a set of objects which are closed and self-maintaining. In this paper, we build on these ideas to develop novel techniques for formal quantitative analysis of chemical reaction networks, using discrete stochastic models represented as continuous...

The function of the brain is unlikely to be understood without an accurate description of its output, yet the nature of movement elements and their organization remains an open problem. Here, movement elements are identified from dynamics of walking in flies, using unbiased criteria. On one time scale, dynamics of walking are consistent over hundreds of milliseconds, allowing elementary feature...

The concepts of multiplicative stochastic perturbations and noise-induced transitions are applied to a quasigeostrophic b-plane model of barotropic flow over topography. The spectral three-component low-order representation of this configuration yields the Charney–DeVore (CDV) model. The externally prescribed damping of the system is allowed to scatter around a mean value. The stochastic repres...

The application of chaos theory in hydrology has been gaining considerable interest in recent years.Based on the chaos theory, the random seemingly series can be attributed to deterministic rules. Thedynamic structures of the seemingly complex processes, such as river flow variations, might be betterunderstood using nonlinear deterministic chaotic models than the stochastic ones. In this paper,...

We propose a modeling language for structured specification of interacting components with both hybrid and stochastic dynamics. The behavior of a stochastic hybrid agent is described using a hybrid automaton whose dynamics is specified by stochastic differential equations and probabilistic jumps. Stochastic hybrid agents interact with other agents using shared variables. The operations of paral...