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作者：Bourgain, Jean; Klein, Abel
作者单位：Institute for Advanced Study - USA; University of California System; University of California Irvine
摘要：We establish bounds on the density of states measure for Schrodinger operators. These are deterministic results that do not require the existence of the density of states measure, or, equivalently, of the integrated density of states. The results are stated in terms of a density of states outer-measure that always exists, and provides an upper bound for the density of states measure when it exists. We prove log-Holder continuity for this density of states outer-measure in one, two, and three d...
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作者：Molev, A. I.
作者单位：University of Sydney
摘要：For each simple Lie algebra consider the corresponding affine vertex algebra at the critical level. The center of this vertex algebra is a commutative associative algebra whose structure was described by a remarkable theorem of Feigin and Frenkel about two decades ago. However, only recently simple formulas for the generators of the center were found for the Lie algebras of type A following Talalaev's discovery of explicit higher Gaudin Hamiltonians. We give explicit formulas for generators of...
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作者：Hacon, Christopher D.; Xu, Chenyang
作者单位：Utah System of Higher Education; University of Utah
摘要：Let f:X -> U be a projective morphism of normal varieties and (X,Delta) a dlt pair. We prove that if there is an open set U (0)aS,U, such that (X,Delta)x (U) U (0) has a good minimal model over U (0) and the images of all the non-klt centers intersect U (0), then (X,Delta) has a good minimal model over U. As consequences we show the existence of log canonical compactifications for open log canonical pairs, and the fact that the moduli functor of stable schemes satisfies the valuative criterion...
