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NON-COLLISION SINGULARITIES IN THE PLANAR TWO-CENTER-TWO-BODY PROBLEM
PLANAR TWO-CENTER-TWO-BODY PROBLEM NON-COLLISION SINGULARITIES
2015/9/29
Statement of the main result. We study a two-center two-body problem.
Consider two xed centers Q1 and Q2 of masses m1 = m2 = 1 located at distance
from each other and two small particles Q3 and Q4...
We develop the Lorentzian geometry of a crooked halfspace in 2 + 1-dimensional Minkowski space. We calculate the
affine, conformal and isometric automorphism groups of a crooked
halfspace, and ...
This paper addresses the natural question: “How should frames be compared?” We answer this question by quantifying the overcompleteness of all frames with the same index set. We introduce the concept ...
The modular group action on real SL(2){characters of a one-holed torus
one-holed torus group action
2015/9/29
The
action of Γ preserves a Poisson structure de ning a Γ{invariant area form on each
−1(t)\ R3. For t < 2, the action of Γ is properly discontinuous on the four contractible components of &...
Redundancy is the qualitative property which makes Hilbert space frames so useful in practice. However, developing a meaningful quantitative notion of redundancy for infinite frames has proven elusive...
THE STABLE BERNSTEIN CENTER AND TEST FUNCTIONS FOR SHIMURA VARIETIES
function BERNSTEIN CENTER
2015/9/29
We elaborate the theory of the stable Bernstein center of a p-adic group G,
and apply it to state a general conjecture on test functions for Shimura varieties due to
the author and R. Kottwitz. This...
The Existence of Pair Potential Corresponding to Specified Density and Pair Correlation
Gibbs Field Gibbs Measure Cluster Functions Pair Potential Corrlation Functions Ursell Functions
2015/9/28
Given a potential of pair interaction and a value of activity, one can consider the Gibbs distribution in a finite domain Λ ⊂ Z d . It is well known that for small values of activity there...
Averaging of Hamiltonian Flows with an Ergodic Component
Rapid movement white noise the vector field perturbation function
2015/9/28
We consider a process on T 2, which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise to a process on the grap...
An Inverse Problem for Gibbs Fields with Hard Core Potential
Gibbs Field Gibbs Measure Cluster Functions Pair Potential Corre-lation Functions Ursell Functions
2015/9/28
It is well known that for a regular stable potential of pair interaction and a small value of activity one can define the corresponding Gibbs field (a measure on the space of configurations of points ...
A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems
second order expansion separatrix map for trigonometric perturbations priori unstable systems
2015/9/25
In this paper we study a so-called separatrix map introduced by Zaslavskii-Filonenko [ZF68] and studied by Treschev and Piftankin [Tre98, Tre02,Pif06, PT07]. We derive a second order expansion of this...
研究了二自由度耦合非线性随机振动系统在高斯白噪声激励下基于首次穿越模型的可靠性问题. 在1:1内共振情形,原始系统的运动方程经平均后化为一组关于慢变量的伊藤随机微分方程. 建立了后向柯尔莫哥洛夫方程以及庞德辽金方程,在一定的边界条件和(或) 初始条件下求解这两个偏微分方程,分别得到系统的条件可靠性函数以及平均首次穿越时间. 进而建立了无内共振情形系统的后向柯尔莫哥洛夫方程与庞德辽金方程.将无内共振...
通过把固支边上的边界位移函数作为状态变量引入状态方程,得到了含固支边矩形单层与叠层厚板的精确解. 在求解过程中,将非齐次状态方程的求解变为齐次状态方程的求解,省略了求解待定常数的中间过程,使求解过程变得简单. 所得到的解能够严格满足固支边界条件,在同一材料层内不需作分层处理,因而更加精确. 此外,对固支边的应力提出了新的计算方法,能够得到更精确的边界应力. 算例表明,本文解比现有精确解收敛快,与有...
On the Choice of Functional Form for Hedonic Price Functions
Hedonic Price Functions Choice
2015/9/18
this study examines how errors in measuring
marginal attribute prices vary with the form of the hedonic
price function. In simulations, consumers with known utility
functions bid for houses with ei...
随机SIR流行病模型解的渐近性态
It公式 Lyapunov函数 随机干扰 SIR模型 渐近行为
2018/10/8
研究了一类随机SIR流行病模型.构建合适的Lyapunov函数,利用It公式,得出了该模型正解的全局存在唯一性；在该结论的基础上,讨论了随机模型的无病平衡点的渐近行为.在一些条件下,得出随机模型解的上确极限的最大值.
This is a brief expository article on the problem of determining the Dehn function of SLn(Z). It appeared in a volume that was presented to G.Mislin on his retirement from ETHZ and was then published ...