We determine the set of connected components of minuscule affine Deligne-Lusztig varieties for special maximal compact subgroups of unramified connected reductive groups. Partial results are also obtained for non-minuscule closed affine Deligne-Lusztig varieties. We consider both the function field case and its analog in mixed characteristic. In particular, we determine the set of connected com...

Integral representations are onsidered of solutions of the Airy di erential equation w z w = 0 for omputing Airy fun tions for omplex values of z. In a rst method ontour integral representations of the Airy fun tions are written as non-os illating integrals for obtaining stable representations, whi h are evaluated by the trapezoidal rule. In a se ond method an integral representation is evaluat...

Glidden and Liang [2002] have raised important issues regarding ascertainment adjustment in the framework of variance-components modeling for complex genetic traits. While the structure of the authors’ logistic variance-component model is simple, ascertainment issues arising with this model are likely analogous to ascertainment issues in more complex variance-component models commonly used for ...