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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...
Estimation of the spectral measure of multivariate regularly varying distributions
regularly varying distributions estimation of parameters stable distributions spectral measure
2010/12/9
In the paper, the estimator for the spectral measure of multivariate stable distributions introduced by Davydov and co-workers are extended to the regularly varying distributions. The sampling method ...
Inductive McKay Condition in defining Characteristic
Inductive McKay Condition defining Characteristic
2010/11/29
We reformulate the inductive McKay condition, from Isaacs–Malle–Navarro [IMN07], and apply the new criterion to simple groups of Lie type, when the prime is the defining characteristic p. Thereby we m...
Scaling Limit of the Noncommutative Black Hole
Quantum groups noncommutative geometry quantum gravity
2010/12/16
We show that the `quantum' black hole wave operator in the -Minkowski or bicrossproduct model quantum spacetime introduced in [1] has a natural scaling limit p ! 0 at the event horizon. Here p is t...
We prove that for m ≥ 3, the symbolic power I(m) of a Stanley-Reisner ideal is Cohen-Macaulay if and only if the simplicial complex is a matroid. Similarly,
Quantum Equivalent Magnetic Fields that Are Not Classically Equivalent
Quantum Equivalent Magnetic Fields Not Classically Equivalent
2010/11/29
We construct pairs of compact K¨ahler-Einstein manifolds (Mi, gi, !i) (i = 1, 2)of complex dimension n with the following properties.
U-Quantile Processes and Generalized Linear Statistics of Dependent Data
L-Statistic U-statistics U-quantiles Bahadur representation mixing near epoch dependence
2010/12/14
Generalized linear statistics are a unifying class that contains U-statistics,U-quantiles, L-statistics as well as trimmed and winsorized U-statistics. For example, many commonly used estimators of sc...
Triangulations of $\Delta_{n-1} \times \Delta_{d-1}$ and Tropical Oriented Matroids
Triangulations $\Delta_{n-1} \times \Delta_{d-1}$ Tropical Oriented Matroids
2010/12/13
Develin and Sturmfels showed that regular triangulations of n1 d1 can be thought
as tropical polytopes. Tropical oriented matroids were de ned by Ardila and Develin, and were
...
从偏态Pearson VII分布生成的新的多元偏态t分布
椭球等高分布 偏态Pearson VII分布 偏态t分布 密度生成函数
2009/11/19
一般而言, 偏态的椭球等高分布是一类分布族,
有相当一部分的分布都是积分形式, 且此类积分不易求出,
而偏态的正态、偏态的正态尺度混合、偏态的PVII型、偏态的PII型的分布却有着很好的结构,
偏态t分布属于偏态PVII型分布, 因此,
本文在偏态PVII型分布的基础上着重研究新的偏态t分布,
给出它的背景、定义、两种随机表示及其等价性.