|||||||||||||||||||||||||||||||Abstract One important issue in DEA which has been studied by many DEA researchers is the sensitivity analysis of a speci c DMUo, the unit under evaluation. Moreover, we know that in most models of DEA, the best DMUs have the e ciency score of unity. In some realistic situations, the performance of some ine cient DMUs is similar to that of e cient ones. In this pa...

This paper studies computational methods for quasi-stationary distributions (QSDs). We first proposed a data-driven solver that solves Fokker–Planck equations QSDs. Similar to the case of invariant probability measures, we set up an optimization problem minimizes distance from low-accuracy reference solution, under constraint satisfying linear relation given by discretized operator. Then use co...

In this paper, by using the concept of the resolvent operator, we study the behavior and sensitivity analysis of the solution set for a new class of parametric generalized nonlinear implicit quasi-variational inclusion problem in Lp(p ≥ 2) spaces. The results presented in this paper are new and generalize many known results in this field.

In this paper we introduce the notion of quasi-expansivity for 2D CA and we show that it shares many properties with expansivity (that holds only for 1D CA). Similarly, we introduce the notions of quasi-sensitivity and prove that the classical dichotomy theorem holds in this new setting. Moreover, we show a tight relation between closingness and openness for 2D CA. Finally, the undecidability o...

Oscillatory behavior in a chain of masses connected by springs with continuous but non-monotonic spring forces can be induced under quasi-static loading. Insight into the birth of this behavior is obtained from a single mass system. A bifurcation study shows the potential for equilibrium jumps between multiple equilibria. As such, the transients occurring under quasi-static loading do not conve...

We show the first experimental evidence of the sensitivity enhancement that can be achieved in high resolution stimulated Raman spectroscopy of gases using hollow-core photonic crystal fibers (HCPCFs). Using low power cw lasers and a HCPCF containing the gas, we have observed more than four orders of magnitude enhancement of sensitivity when compared with the cw single focus regime, and a simil...