搜索结果: 1-15 共查到“知识库 多元分析”相关记录35条 . 查询时间(0.937 秒)
This paper is concerned with the factorization and equivalence problems of multivariate polynomial matrices. We present some new criteria for the existence of matrix factorizations for a class of mult...
We define Ptolemy coordinates for representations that are not necessarily
boundary-unipotent. This gives rise to a new algorithm for computing the SL(2; C) Apolynomial, and more generally the ...
Gauss Sums of the Cubic Character over $GF(2^m)$: an elementary derivation
Gauss sum character binary finite fields
2011/2/25
An elementary approach is shown which derives the value of the Gauss sum of a cubic char-
acter over a finite field F2s without using Davenport-Hasse’s theorem (namely, if s is odd the
Gauss sum is ...
Uniform Definability and Undecidability in Classes of Structures
Uniform Definability Undecidability Classes of Structures
2011/1/18
We present a concept of uniform encodability of theories and develop tools related to this concept. As an application we obtain general undecidability results which are uniform for large families of s...
Ideal-adic semi-continuity problem for minimal log discrepancies
Ideal-adic semi-continuity problem minimal log discrepancies
2011/1/17
We discuss the ideal-adic semi-continuity problem for minimal log discrepancies by Mustat¸˘a. We study the purely log terminal case, and prove the semi-continuity of minimal log discrepanci...
A Duality of Quantale-Enriched Categories
Lawson duality continuous domain way-below quantale-enriched category
2011/2/21
We describe a duality for quantale-enriched categories that extends the Lawson duality for continuous dcpos: for any saturated class J of modules that commute with certain weighted limits, and under a...
On the bifurcation and continuation of periodic orbits in the three-body problem
three body problem (TBP) periodic orbits bifurcations
2010/12/28
We consider the planar three body problem of planetary type and we study the generation and continuation of periodic orbits and mainly of asymmetric periodic orbits.
A measure of statistical complexity based on predictive information
measure of statistical complexity predictive information
2011/1/19
We introduce an information theoretic measure of statistical structure, called ‘binding informa-tion’, for sets of random variables, and compare it with several previously proposed measures in-cluding...
Asymptotics of coefficients of multivariate generating functions: improvements for multiple points
analytic combinatorics multivariate higher-order terms singularity analysis
2010/12/14
Let F(x) = P 2Nd Fx be a multivariate power series with complex coefficients that converges in a neighborhood of the origin. Assume F = G/H for some functions G and H holomorphic in a neighborhood ...
Quaternionic Kaehler and Spin(7) metrics arising from quaternionic contact Einstein structures
quaternionic contact structures Einstein structures qc conformal flatness
2010/12/6
We construct left invariant quaternionic contact (qc) structures on Lie groups with zero and
non-zero torsion and with non-vanishing quaternionic contact conformal curvature tensor, thus showing the ...
Six years after William Rowan Hamilton’s discovery of quaternions, in 1849 James Cockle
introduced the algebra of split quaternions [Co]. (He called them “coquaternions.”) One way
to define the spli...
Split Quaternionic Analysis and Separation of the Series for SL(2,R) and SL(2,C)/SL(2,R
Harmonic analysis on SL(2,R) and SL(2,C)/SL(2,R) minimal representation of SO(3, 3)
2010/12/6
We extend our previous study of quaternionic analysis based on representation theory to the case of split quaternions HR. The special role of the unit sphere in the classical quaternions
H identified...
Quantum Statistical Mechanics, L-series and Anabelian Geometry
Arithmetic equivalence quantum statistical mechanics Bost-Connes system anabelian geometry
2010/11/29
It is known that two number fields with the same Dedekind zeta function are not necessarily
isomorphic. The zeta function of a number field can be interpreted as the partition function of
an associa...
On continuity and invariance of the Alvarez class under deformation
continuity invariance of the Alvarez class deformation
2010/11/30
A manifold M with a foliation F is minimizable if there exists a Riemannian metric g on M such that every leaf of F is a minimal submanifold of (M, g).
Exponential Riesz bases, discrepancy of irrational rotations and BMO
Exponential Riesz bases discrepancy of irrational rotations BMO
2010/12/3
Matei and Meyer proved that ‘simple quasicrystals’ are universal sets of sampling and interpolation for signals with a band-limited spectrum. We ask if the corresponding exponential system is a univer...