The problem of the acquisition of phonotactics in Optimality Theory is formulated as the problem of learning a ranking consistent with a finite set of data that furthermore corresponds to a smallest (w.r.t. set inclusion) language. The paper focuses on the universal formulation of the problem, whereby generating function and constraint set vary arbitrarily as inputs of the problem. It is shown ...

We compute the generating function of random planar quadrangulations with three marked vertices at prescribed pairwise distances. In the scaling limit of large quadrangulations, this discrete three-point function converges to a simple universal scaling function, which is the continuous three-point function of pure 2D quantum gravity. We give explicit expressions for this universal threepoint fu...

A family of vertex algebras whose universal Verma modules coincide with the cohomology affine Laumon spaces is found. This result based on an explicit expression for generating function Poincaré polynomials these spaces. There a variant quantum Hamiltonian reduction that realizes which we call iterated $${\mathcal W}$$ -algebras and our main conjecture associated to are subalgebras -algebras.

Continuous stress–strength interference (SSI) model regards stress and strength as continuous random variables with known probability density function. This, to some extent, results in a limitation of its application. In this paper, stress and strength are treated as discrete random variables, and a discrete SSI model is presented by using the universal generating function (UGF) method. Finally...

Solar energy plays an important role in the global energy framework for future. Comparing with conventional generation systems using fossil fuels, the cost structure of photovoltaic (PV) systems is different: the capital cost is higher while the operation cost is negligible. Reliabilities of the PV system can also influence the cost for producing electricity. Investors, planners and regulators ...

Due to the volatile and correlated nature of wind speed, a high share of wind power penetration poses challenges to power system production simulation. Existing power system probabilistic production simulation approaches are in short of considering the time-varying characteristics of wind power and load, as well as the correlation between wind speeds at the same time, which brings about some pr...

5 Many practical methods and different approaches have been proposed to assess Multi-State Systems (MSS) 6 reliability measures. The universal generating function (UGF) method, introduced in 1986, is known to be a very 7 efficient way of evaluating the availability of different types of MSSs. In this paper, we propose an extension 8 of the UGF method considering epistemic uncertainties. This ex...

The current and future developments of electric power systems are pushing the boundaries of reliability assessment to consider distribution networks with renewable generators. Given the stochastic features of these elements, most modeling approaches rely on Monte Carlo simulation. The computational costs associated to the simulation approach force to treating mostly small-sized systems, i.e. wi...