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We prove that any flat G-bundle, where G is a complex connected reductive algebraic group, on the punctured disc admits the structure of an oper. This result is important in the local geometric Langlands correspondence proposed in [7]. Our proof uses certain deformations of the affine Springer fibers which could be of independent interest. As a byproduct, we construct representations of affine ...

Hubicka, E.; Syslo, M. M. Minimal bases of a graph. Recent advances in graph theory, Proceedings of 2nd Czechoslovak Symposium on Graph Theory; Fielder, M., Ed.; Academia: Prague, 1975; pp 283-293. Syslo, M. M. On cycle bases of a graph. Networks 1979,9, 123-132. Syslo, M. M. Minimum length cycle bases of a graph. Methods Oper. Res. 1980, 37, 285-290. Kolasinska, E. On a minimum cycle basis of ...

In this paper a queueing system with partial correlation is considered. We assume that the amount of work (service time) brought in by a customer and the subsequent interarrival time are dependent. We show that in this case stronger dependence between interarrival and service times leads to decreasing waiting times in the increasing convex ordering sense. This generalizes a result of Chao (Oper...

Realignment of the hip knee and ankle can be achieved by extra-articular osteotomy if there is no intra-articular deformity or incongruity. Intra-articular osteotomy of the femoral head, femoral condyles, tibial plateaus and tibial plafond can all be achieved technically and biologically and lead to a congruous joint. This is a new frontier for realignment surgery extending the indications for ...

This paper deals with the tolerance approach to sensitivity analysis of the weights in multiple objective linear programming (MOLP) problems. A geometric interpretation to compute the results in Hansen et al. [Eur. J. Oper. Res. 38 (1989) 63–69] is presented. Along the same direction, a visual interactive approach based on the analysis of indifference regions corresponding to basic efficient so...

The reliability of power converters has been extensively examined in terms component- and converter level. However, case multiple generation units, the evaluation performance systems requires system-level modeling. This paper aims to merge prior art modeling with adequacy through an extensive design analysis a microgrid based study. methodology proposed integrates device-level into domain conve...

This paper develops a new distributed secondary cooperative control scheme to coordinate distributed generators (DGs) in islanded microgrids (MGs). A finite time frequency regulation strategy containing a consensus-based distributed active power regulator is presented, which can not only guarantee the active power sharing but also enable all DGs’ frequencies to converge to the reference value w...