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Constructing elliptic curve isogenies in quantum subexponential time
Constructing elliptic curve isogenies quantum subexponential time
2011/3/3
Given two elliptic curves over a finite field having the same cardinality and endomorphism
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny is believed to ...
Correlation functions of the two-dimensional Ising model on the periodic lattice can be expressed in terms of form factors — matrix elements of the spin operator in the basis of
common eigenstates of...
Intertwining operators for Sklyanin algebra and elliptic hypergeometric series
operators for Sklyanin algebra elliptic hypergeometric series
2010/12/28
Intertwining operators for infinite-dimensional representations of the Sklyanin algebra with spins ℓ and −ℓ − 1 are constructed using the technique of intertwin-ing vectors for...
Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end
Dynamical reflection algebra Boundary SOS model Factorizing Drinfel’d twist
2010/12/28
We introduce in this paper an elliptic dynamical reflection algebra describing an SOS model with reflecting end. Using factorizing Drinfel’d twist, we compute the partition function of this model with...
Uniform Estimates of the Prolate Spheroidal Wave Functions and Spectral Approximation in Sobolev Spaces
Uniform Estimates of the Prolate Spheroidal Wave Functions Spectral Approximation Sobolev Spaces
2011/2/22
For fixed c Prolate Spheroidal Wave Functions ψn,c form a basis with remarkable properties
for the space of band-limited functions with bandwith c and have been largely studied and
used after the se...
Spectral estimates for resolvent differences of self-adjoint elliptic operators
Spectral estimates resolvent differences
2011/2/24
The notion of quasi boundary triples and their Weyl functions is an abstract concept to treat spectral and boundary value problems for elliptic partial differential equations.
Chen Rotational Surfaces of Hyperbolic or Elliptic Type in the Four-dimensional Minkowski Space
Rotational surfaces Chen submanifolds four-dimensional Minkowski space
2011/1/18
We study the class of spacelike surfaces in the four-dimensional Minkowski space whose mean curvature vector at any point is a non-zero spacelike vector or timelike vector.These surfaces are determine...
Periods of Quadratic Twists of Elliptic Curves
Periods Quadratic Twists of Elliptic Curves
2011/1/17
In this paper we prove a relation between the period of an elliptic curve and the period of its real and imaginary quadratic twists. This relation is often misstated in the literature.
Multilevel Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems with Jump Coefficients
Multilevel preconditioner discontinuous Galerkin methods Crouzeix-Raviart nite elements
2011/1/19
In this article we develop and analyze two-level and multi-level methods for the
family of Interior Penalty (IP) discontinuous Galerkin (DG) discretizations of second order
elliptic problems with ro...
Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators
Elliptic equations Dirichlet and Neumann boundary conditions stability of eigenvalues
2011/2/25
We prove sharp stability estimates for the variation of the eigenvalues of non-negative self-adjoint elliptic operators of arbitrary even order upon variation of the open sets on which they are define...
Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions
Carleman estimate elliptic operator non-smooth coecient quasimode
2011/2/21
We consider a second-order selfadjoint elliptic operator with an anisotropic di usion matrix having a jump across a smooth hypersurface. We prove the existence of a weight-function such that a Carlema...
We examine the moduli space E = T of complex tori T( ) =C/L( ) where L( ) = const · 2( )L . We find that the Dedekind eta function furnishes a bridge between the euclidean and hyperbolic structur...
Weak Maximum Principle for Strongly Coupled Elliptic Differential Systems
Weak maximum principle strongly coupled elliptic system weak solution
2010/12/10
A classical counterexample due to E. De Giorgi, shows that the weak maximum principle
does not remain true for general linear elliptic differential systems. After that, there are some efforts to esta...
On the ellipticity of symplectic twistor complexes
Fedosov manifolds Segal-Shale-Weil representation
2011/1/19
For a Fedosov manifold (symplectic manifold equipped with a symplectic torsion-free affine connection ∇) admitting a metaplectic structure, we shall investigate two sequences of first order diff...
On local analytic expansions of densities in the context of (micro-)hypoelliptic and classes of semi-elliptic equations
On local analytic expansions of densities context of (micro-)hypoelliptic classes of semi-elliptic equations
2011/1/17
Explicit representations of densities for linear parabolic partial differential equations are useful in order to design computation schemes of high accuracy for a considerable class of diffusion model...