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Burniat surfaces III: deformations of automorphisms and extended Burniat surfaces
Burniat surfaces deformations of automorphisms extended Burniat surfaces
2011/2/22
In the present article we continue our investigation, begun in [BC09b]and [BC10], of the connected components of the moduli space (of minimal surfaces S of general type) which contain the Burniat surf...
Harmonic Maaß-Jacobi forms of degree 1 with higher rank indices
Harmonic Maaß -Jacobi forms degree 1 higher rank indices
2011/1/21
We define and investigate real analytic weak Jacobi forms of degree 1 and arbitrary rank. En route we calculate the Casimir operator associated to the maximal central extension of the real Jacobi grou...
Pencils of cubics with eight base points lying in convex position in $\mathbb{R}P^2$
Pencils of cubics eight base points convex position
2011/1/21
To a generic con guration of eight points in convex position in the plane, we associate a list consisting of the following information: for all of the 56 conics determined by ve of the points, we spe...
Ahlfors's quasiconformal extension condition and $\Phi$-likeness
quasiconformal mapping L¨owner (Loewner) chain Ahlfors’s quasiconformal
2011/1/20
The notion of Φ-like functions is known to be a necessary and sufficient condition for univalence. By applying the idea, we derive several necessary conditions and sufficient conditions for that an an...
Sine-Gordon方程的极限对称及应用
对称 sine-Gordon方程 相似约化 自相容源 Hirota方法
2013/12/5
研究sine-Gordon方程的极限对称及应用.由对称引出相似约化,求得sine-Gordon 方程的极限解;利用对称与孤子方程的自相容源之间的联系,得到带新自相容源的sine-Gordon方程,并求出该方程的解.
Brouwer's problem on a heavy particle in a rotating vessel: wave propagation, ion traps, and rotor dynamics
Rotating saddle Quadrupole trap Crystal optics Rotor dynamics Stokes waves
2011/1/18
In 1918 Brouwer considered stability of a heavy particle in a rotating vessel. This was the first demon-stration of a rotating saddle trap which is a mechanical analogue for quadrupole particle traps ...
It has been shown that the old-fashioned idea of Sakharov’s induced grav-ity and gauge interactions in the “one-loop dominance" version works astonishingly well yielding reasonable parameters.
Critical Rotational Speeds in the Gross-Pitaevskii Theory on a Disc with Dirichlet Boundary Conditions
Bose-Einstein Condensates Superfluidity Vortices Giant Vortex
2011/1/18
e study the two-dimensional Gross-Pitaevskii theory of a rotating Bose gas in a disc-shaped trap with Dirichlet boundary conditions, generalizing and extending previous results that were obtained unde...
算子有限秩摄动的广义(ω′)性质
广义(ω′)性质 一致Fredholm指标算子 谱 Weyl定理
2011/12/27
广义(ω')性质是Weyl型定理的一种新变化.利用由一致Fredholm指标算子定义的新谱集, 研究了算子T摄动有限秩算子后的广义(ω')性质, 其中T是a-isoloid的, 并将主要结果应用于几类算子.
Spectra of Random Hermitian Matrices with a Small-Rank External Source: The critical and near-critical regimes
Spectra of Random Hermitian Matrices Small-Rank External Source
2010/11/24
Random Hermitian matrices are used to model complex systems without time-reversal invariance. Adding an external source to the model can have the effect of shifting some of the matrix eigenvalues, whi...
On the finite spectral triple of an almost-commutative geometry
spectral triple almost-commutative geometry
2010/11/24
In this paper we start to examine the relevance of the signature of the metric of space-time, on the construction of the product of the pseudo-Riemannian spectral triple with a finite triple describin...
We consider the motion of tachyons (faster-than-light particles) in the framework of General Relativity. An important feature is the large contribution of low energy tachyons to the energy-momentum te...
Number variance for hierarchical random walks and related fluctuations
hierarchical random walks related fluctuations
2010/11/24
We study an infinite system of independent symmetric random walks on a hierarchical group, in particular, the c-random walks. Such walks are used, e.g., in population genetics. The number variance pr...
The $(N,M)$-bigraded Toda hierarchy is an extension of the original Toda lattice hierarchy. The pair of numbers $(N,M)$ represents the band structure of the Lax matrix which has $N$ upper and $M$ lowe...
Abundant configurations in sumsets with one dense summand
Abundant configurations dense summand
2010/11/24
We analyze sumsets A+B = {a+b : a in A, b in B} where A,B are sets of integers, A is infinite, and B has positive upper Banach density. For each k, we show that A+B contains at least the expected dens...