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The Maranda Theorem and Liftings of Modules.
, 2005
"... Throughout this paper let be a noetherian Ralgebra where R is a complete local ring with maximal ideal m and let x in m be a regular element. This setting will be referred to as being general or the general case. We denote by mod the category of all nitely generated modules. ..."
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Throughout this paper let be a noetherian Ralgebra where R is a complete local ring with maximal ideal m and let x in m be a regular element. This setting will be referred to as being general or the general case. We denote by mod the category of all nitely generated modules.
and
"... AMS (MOS 1991) subject classification33D45, 33E30 A general system of qorthogonal polynomials is dened by means of its threeterm recurrence relation. This system encompasses many of the known families of qpolynomials, among them the qanalog of the classical orthogonal polynomials. The asymptoti ..."
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Askey & Wilson, Al SalamCarlitz and the celebrated qlittle and qbig Jacobi. 1 Introduction. In the last decade an increasing interest on the so called qorthogonal polynomials (or basic orthogonal polynomials) is observed ( for a review see [1], [2] and [3]). The reason is not only of purely intrinsic
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, 1994
"... We study the generalizations of the wellknown LiebThirring inequality for the magnetic Schrodinger operator with nonconstant magnetic eld. Our main result is the naturally expected magnetic LiebThirring estimate on the moments of the negative eigenvalues for a certain class of magnetic elds (in ..."
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We study the generalizations of the wellknown LiebThirring inequality for the magnetic Schrodinger operator with nonconstant magnetic eld. Our main result is the naturally expected magnetic LiebThirring estimate on the moments of the negative eigenvalues for a certain class of magnetic elds (including even some unbounded ones). We develop a localization technique in path space of the stochastic FeynmanKac representation of the heat kernel which eectively estimates the oscillatory eect due to the magnetic phase
Generalization Of An Inequality By Talagrand, And Links With The Logarithmic Sobolev Inequality
 J. Funct. Anal
, 2000
"... . We show that transport inequalities, similar to the one derived by Talagrand [30] for the Gaussian measure, are implied by logarithmic Sobolev inequalities. Conversely, Talagrand's inequality implies a logarithmic Sobolev inequality if the density of the measure is approximately logconcave, ..."
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Cited by 244 (12 self)
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. Main results 5 3. Heuristics 11 4. Proof of Theorem 1 18 5. Proof of Theorem 3 24 6. An application of Theorem 1 30 7. Linearizations 31 Appendix A. A nonlinear approximation argument 35 References 36 1. Introduction Let M be a smooth complete Riemannian manifold of dimension n, with the geodesic
1Local Identification of Overcomplete Dictionaries
"... This paper presents the first theoretical results showing that stable identification of overcomplete µcoherent dictionaries Φ ∈ Rd×K is locally possible from training signals with sparsity levels S up to the order O(µ−2) and signal to noise ratios up to O( d). In particular the dictionary is recove ..."
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) are provided. These asymptotic results translate to finite sample size recovery results with high probability as long as the sample size N scales as O(K3dSε̃−2), where the recovery precision ε ̃ can go down to the asymptotically achievable precision. Further to actually find the local maxima of the new
Akademisk avhandling för teknisk doktorsexamen vid
, 1994
"... mcmxciv This thesis deals with combinatorics in connection with Coxeter groups, finitely generated but not necessarily finite. The representation theory of groups as nonsingular matrices over a field is of immense theoretical importance, but also basic for computational group theory, where the group ..."
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mcmxciv This thesis deals with combinatorics in connection with Coxeter groups, finitely generated but not necessarily finite. The representation theory of groups as nonsingular matrices over a field is of immense theoretical importance, but also basic for computational group theory, where the group elements are data structures in a computer. Matrices are unnecessarily large structures, and part of this thesis is concerned with small and efficient representations of a large class of Coxeter groups (including most Coxeter groups that anyone ever payed any attention to.) The main contents of the thesis can be summarized as follows. • We prove that for all Coxeter graphs constructed from an npath of unlabelled edges by adding a new labelled edge and a new vertex (sometimes two new edges and vertices), there is a permutational representation of the corresponding group. Group elements correspond to integer nsequences and the nodes in the path generate all n! permutations. The extra node has a more complicated action, adding a certain quantity to some of the numbers.
Results 1  10
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943