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31 papers · 1 filter
Additive Bases in Abelian Groups
Vsevolod F. Lev, Mikhail E. Muzychuk, Rom Pinchasi
Let be a finite, non-trivial abelian group of exponent , and suppose that are generating subsets of . We prove that if , then the mul…
Characteristic Classes of Lie Algebroid Morphisms
Izu Vaisman
We extend R. Fernandes' construction of secondary characteristic classes of a Lie algebroid to the case of a base-preserving morphism between two Lie algebroids. Like in the case o…
Geometric scaling: a simple preconditioner for certain linear systems with discontinuous coefficients
Dan Gordon, Rachel Gordon
Linear systems with large differences between coefficients ("discontinuous coefficients") arise in many cases in which partial differential equations(PDEs) model physical phenomena…
Computads and Multitopic Sets
Victor Harnik, Michael Makkai, Marek Zawadowski
We compare computads with multitopic sets. Both these kinds of structures have n-dimensional objects (called n-cells and n-pasting diagrams, respectively). The computads form a sub…
Universal pointwise selection rule in multivariate function estimation
Alexander Goldenshluger, Oleg Lepski
In this paper, we study the problem of pointwise estimation of a multivariate function. We develop a general pointwise estimation procedure that is based on selection of estimators…
Gerbes and the Holomorphic Brauer Group of Complex Tori
Oren Ben-Bassat
The purpose of this paper is to develop the theory of holomorphic gerbes on complex tori in a manner analogous to the classical theory for line bundles. In contrast to past studies…