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Several results point to deep relations between noncommutative geometry and class eld theory ([3],
[10], [20], [22]). In [3] a quantum statistical mechanical system (BC) is exhibited, with partition...
Fast construction of hierarchical matrix representation from matrix–vector multiplication
Fast algorithm Hierarchical matrix construction Randomized singular value decomposition Matrix–vector multiplication Elliptic operator Green’s function
2015/7/14
We develop a hierarchical matrix construction algorithm using matrix–vector multiplications, based on the randomized singular value decomposition of low-rank matrices. The algorithm uses Oelog nT appl...
GALOIS THEORY OF ITERATED MORPHISMS ON REDUCIBLE ELLIPTIC CURVES AND ABELIAN SURFACES WITH REAL MULTIPLICATION
Kummer map elliptic curves abelian surfaces with real multiplication
2014/12/8
Let $F$ be a number field and let $A$ be an abelian algebraic group defined over $F$. For a prime $\ell$ and a point $\alpha \in A(F)$, we obtain the tower of extensions $F([\ell^n]^{-1}(\alpha))$ by ...
The locus of real multiplication and the Schottky locus
the Schottky locus Algebraic Geometry
2011/9/15
Abstract: We prove that the generic point of a Hilbert modular four-fold is not a Jacobian. The proof uses degeneration techniques and is independent of properties of the mapping class group used in p...
On the tensor rank of multiplication in finite extensions of finite fields
finite fields tensor rank of multiplication Algebraic Geometry
2011/8/26
Abstract: In this paper, we give a survey of the known results concerning the tensor rank of the multiplication in finite fields and we establish new asymptotical and not asymptotical upper bounds abo...
Graded multiplication modules and the graded ideal θg (M)
Graded multiplication modules；Graded ideal θg (M)；Graded secondary modules
2011/4/6
Let G be a group and let R be a G-graded commutative ring. For a graded R-module M, the notion of the associated graded ideal θg (M) of R is defined. It is proved that the graded ideal θg (M) is impo...
Observations of ice multiplication in a weakly convective cell embedded in supercooled mid-level stratus
ice multiplication a weakly convective cell supercooled mid-level stratus
2011/1/19
Simultaneous observations of cloud microphysical properties were obtained by in-situ aircraft measurements and ground based Radar/Lidar. Widespread mid-level stratus cloud was present below a temperat...
A Fock Space Model for Addition and Multiplication of C-free Random Variables
free independence c-free independence creation/annihilation operators
2011/2/22
The paper presents a Fock space model suitable for constructions of c-free algebras. Immediate applications are direct proofs for the properties of the c-free R- and S-transforms.
An algorithm to enhance elliptic curves scalar multiplication combining MBNR with point halving
Elliptic curves cryptography Integer representation
2010/9/25
Elliptic curves (EC) scalar multiplication over some finite fields, is an attractive research area, and it has been paid much attention by researchers in the recent years. Researchs still in progress ...
Multiplication of Subharmonic Functions
Gamma and Beta functions growth of subharmonic functions in the unit ball
2010/1/22
We study subharmonic functions in the unit ball of , with either a Bloch-type growth or a growth described through integral conditions involving some involutions of the ball. Considering mappings ...
Some properties of gr-multiplication ideals
Graded Rings Graded Ideals Gr-primary Ideals and Gr-multiplication Ideals
2010/2/25
In this paper, we study some of the properties of gr-multiplication ideals in a graded ring R. We first characterize finitely generated gr-multiplication ideals and then give a characterization of gr-...
Nonlinear Squeezed States and Multiplication Rule of Nonlinear Squeezing Operators Gained via Nonlinear Coherent State Representation and IWOP Technique
nonlinear coherent state nonlinear squeezed state nonlinear
squeezing operator symplectic-transform
2007/8/15
2005Vol.44No.1pp.137-142DOI:
Nonlinear Squeezed States and Multiplication Rule of Nonlinear Squeezing Operators Gained via Nonlinear Coherent State Representation and IWOP Technique
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