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1,243
Estimation of the Shape Parameter in the Elliptical Family of Distributions Based on NonParametric Measures of Association
, 2007
"... It is not so well known that there exist relationships between the correlation ρ (association parameter) of a bivariate normal population and some non–parametric measures of association such as Kendall’s tau and Spearman’s rho. These relationships are introduced for the two aforementioned measur ..."
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measures along with Blomqvist’s quadrant measure of association. These relationships are not necessarily limited to the normal distribution and it is illustrated that for the family of elliptical distributions the relationship between Kendall’s tau or Blomqvist’s quadrant measure and the parameter ρ holds
Transversality in elliptic Morse theory for the symplectic action
, 1999
"... Our goal in this paper is to settle some transversality question for the perturbed nonlinear CauchyRiemann equations on the cylinder. These results play a central role in the definition of symplectic Floer homology and hence in the proof of the Arnold conjecture. There is currently no other referen ..."
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Cited by 155 (11 self)
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symplectic manifold and consider the differential equation x(t) = X t (x(t)) (1) where X t = X t+1 : M ! TM is a smooth family of symplectic vector fields, i.e. the 1forms '(X t )! are closed. The periodic solutions x(t) = x(t + 1) of (1) are the zeros of the closed 1form \Psi X on the loop space L
A family of elliptic algebras
 Internat. Math. Res. Notices
, 1997
"... The survey is devoted to associative Z≥0graded algebras presented by n generators and n(n−1) 2 quadratic relations and satisfying the socalled PoincareBirkhoffWitt condition (PBWalgebras). We consider examples of such algebras depending on two continuous parameters (namely, on an elliptic curve ..."
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Cited by 43 (6 self)
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The survey is devoted to associative Z≥0graded algebras presented by n generators and n(n−1) 2 quadratic relations and satisfying the socalled PoincareBirkhoffWitt condition (PBWalgebras). We consider examples of such algebras depending on two continuous parameters (namely, on an elliptic curve
Schwarz Analysis Of Iterative Substructuring Algorithms For Elliptic Problems In Three Dimensions
 SIAM J. Numer. Anal
, 1993
"... . Domain decomposition methods provide powerful preconditioners for the iterative solution of the large systems of algebraic equations that arise in finite element or finite difference approximations of partial differential equations. The preconditioners are constructed from exact or approximate sol ..."
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Cited by 147 (33 self)
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the rate of convergence considerably. The iterative substructuring methods, based on decompositions of the region into nonoverlapping subregions, form one of the main families of such algorithms. Many domain decomposition algorithms can conveniently be described and analyzed as Schwarz methods
On the isotriviality of families of elliptic surfaces
, 1999
"... A family f: X → B of projective complex manifolds is called birationally isotrivial, if there exists a finite cover B ′ → B, a manifold F and a birational map ϕ from F ×B ′ to X ×B B ′. The morphism f is isotrivial, if ϕ can be chosen to be biregular. One can ask, tempted by the corresponding prope ..."
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Cited by 12 (2 self)
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property for families of curves, whether f is birationally isotrivial whenever B is an elliptic curve or C ∗ and the Kodaira dimension of a general fibre nonnegative. Assuming that all fibres of f are minimal models, one could even hope that f is isotrivial. Both problems have an affirmative answer
Compatible families of elliptic type
"... introduce the notion of an adelic Galois representation of elliptic type, and they ask in passing whether every such representation arises from an elliptic curve (see pp. 5 and 19 of [5]). Formulated in the language of `adic representations [7], their question is as follows. Put G = Gal(Q/Q), let p ..."
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Cited by 1 (1 self)
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introduce the notion of an adelic Galois representation of elliptic type, and they ask in passing whether every such representation arises from an elliptic curve (see pp. 5 and 19 of [5]). Formulated in the language of `adic representations [7], their question is as follows. Put G = Gal(Q/Q), let
ON A FAMILY OF ELLIPTIC CURVES
, 2005
"... Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the infinite family Cm: y 2 = x3−m2x+1, m ∈ Z+. We shall prove that rankCm ≥ 2 for m ≥ 2 and that rankC4k ≥ 3 for the infinite subfamily C4k, k ≥ 1. The idea has been taken from paper [1]; in fact we are ..."
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Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the infinite family Cm: y 2 = x3−m2x+1, m ∈ Z+. We shall prove that rankCm ≥ 2 for m ≥ 2 and that rankC4k ≥ 3 for the infinite subfamily C4k, k ≥ 1. The idea has been taken from paper [1]; in fact we
An index theory for families of elliptic . . .
, 1999
"... We define the equivariant family index of a family of elliptic operators invariant with respect to the free action of a bundle G of Lie groups. In this paper we concentrate on the issues specific to the case when G is trivial, so the action reduces to the action of a Lie group G. For G simplyconn ..."
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We define the equivariant family index of a family of elliptic operators invariant with respect to the free action of a bundle G of Lie groups. In this paper we concentrate on the issues specific to the case when G is trivial, so the action reduces to the action of a Lie group G. For G simply
Lowlying zeros of families of elliptic curves
, 2006
"... There is a growing body of evidence giving strong evidence that zeros of families of Lfunctions follow distribution laws of eigenvalues of random matrices. This philosophy is known as the random matrix model or the KatzSarnak philosophy. The random matrix model makes predictions for the average di ..."
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Cited by 51 (3 self)
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distribution of zeros near the central point for families of Lfunctions. We study the lowlying zeros for families of elliptic curve Lfunctions. For these Lfunctions there is special arithmetic interest in any zeros at the central point (by the conjecture of Birch and SwinnertonDyer and the impressive
Results 1  10
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1,243