Gaussian model selectionEuropean Mathematical Society - EMS - Publishing House GmbH - Tập 3 - Trang 203-268 - 2001
Lucien Birgé, Pascal Massart
Our purpose in this paper is to provide a general approach to model selection via penalization for Gaussian regression and to develop our point of view about this subject. The advantage and importance of model selection come from the fact that it provides a suitable approach to many different types of problems, starting from model selection per se (among a family of parametric models, which one is...... hiện toàn bộ
Spectra of elements in the group ring of SU(2)European Mathematical Society - EMS - Publishing House GmbH - Tập 1 - Trang 51-85 - 1999
Alex Gamburd, Dmitry Jakobson, Peter Sarnak
We present a new method for establishing the “gap” property for finitely generated subgroups of SU(2), providing an elementary solution of Ruziewicz problem on S2 as well as giving many new examples of finitely generated subgroups of SU(2) with an explicit gap. The distribution of the eigenvalues of the elements of the group ring R[SU(2)] in the N-th irreducible representation of SU(2) is also stu...... hiện toàn bộ
On the structure theory of the Iwasawa algebra of a p-adic Lie groupEuropean Mathematical Society - EMS - Publishing House GmbH - Tập 4 - Trang 271-311 - 2002
Otmar Venjakob
This paper is motivated by the question whether there is a nice structure theory of finitely generated modules over the Iwasawa algebra, i.e. the completed group algebra, Λ of a p-adic analytic group G. For G without any p-torsion element we prove that Λ is an Auslander regular ring. This result enables us to give a good definition of the notion of a pseudo-nullΛ-module. This is classical when G=ℤ...... hiện toàn bộ
Homogenization of a boundary condition for the heat equationEuropean Mathematical Society - EMS - Publishing House GmbH - Tập 2 - Trang 217-258 - 2000
Ján Filo, Stephan Luckhaus
An asymptotic analysis is given for the heat equation with mixed boundary conditions rapidly oscillating between Dirichlet and Neumann type. We try to present a general framework where deterministic homogenization methods can be applied to calculate the second term in the asymptotic expansion with respect to the small parameter characterizing the oscillations.