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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Asymptotic log-concavity of dominant lower Bruhat intervals
显性 Bruhat区间 渐近对数凹性
2023/11/13
The unimodality of lower Bruhat intervals for the “upper half” remains as an open problem. For affine Weyl group W with corresponding finite Weyl group W_f, we prove that lower W_f-parabolic Bruhat in...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Asymptotic stability of the bipolar Navier-Stokes-Poisson system with boundary
具有边界 双极 纳维-斯托克斯-泊松系统 渐近稳定性
2023/5/6
In this talk, the combined quasi-neutral and zero-viscosity limits of the two-fluid Navier-Stokes-Poisson systems (one for ion and another for electron) with boundary are rigorously proved by investig...
三亚国际数学论坛：Asymptotic,Algebraic and Geometric Aspects of Integrable Systems
三亚国际数学论坛 Asymptotic Algebraic Geometric Aspects Integrable Systems
2017/11/24
Integrable systems involves the study of physically relevant nonlinear equations, which includes many families of well-known, highly important partial and ordinary differential equations. Building on ...
Asymptotic analysis for a Vlasov-Fokker-Planck/Compressible Navier-Stokes system of equations
Asymptotic analysis Vlasov-Fokker-Planck Compressible Navier-Stokes system of equations
2015/10/15
This article is devoted to the asymptotic analysis of a system of coupled kinetic and fluid equations, namely the Vlasov-Fokker-Planck equation and a compressible Navier-Stokes equation. Such a system...
We give coarse geometric conditions for a metric space X to have N-connected asymptotic cones. These conditions are expressed in terms of certain filling functions which are defined recursively on dim...
We derive an asymptotic for the rst moment of Hecke L-series associated to canonical qua- dratic characters. This provides another proof and slightly generalizes recent results by Masri and Kim-Masri...
Asymptotic Analysis of Subcritical Hopf-Homoclinic Bifurcation
Hopf-Homoclinic Bifurcation Asymptotic
2015/8/25
termined by the coincidence of a subcritical Hopf bifurcation with a homoclinic orbit
of the Hopf equilibrium. Our work is motivated by our previous analysis of a
Hodgkin-Huxley neuron model which p...
AN ASYMPTOTIC ERROR BOUND FOR TESTING MULTIPLE QUANTUM HYPOTHESES
ASYMPTOTIC ERROR BOUND TESTING MULTIPLE QUANTUM HYPOTHESES
2015/8/25
We consider the problem of detecting the true quantum state among r possible ones, based of measurements performed on n copies of a finitedimensional quantum system. A special case is the problem of d...
Asymptotic Equivalence of Spectral Density Estimation and Gaussian White Noise
Stationary Gaussian process spectral density Sobolev classes Le Cam distance asymptotic equivalence Whittle likelihood log-periodogram regression nonparametric Gaussian scale model signal in Gaussian white noise
2015/8/25
We consider the statistical experiment given by a sample y(1), . . . , y(n) of a stationary Gaussian process with an unknown smooth spectral density f. Asymptotic equivalence, in the sense of Le Cam’s...
ASYMPTOTIC EQUIVALENCE OF SPECTRAL DENSITY ESTIMATION AND GAUSSIAN WHITE NOISE
ASYMPTOTIC EQUIVALENCE SPECTRAL DENSITY ESTIMATION GAUSSIAN WHITE NOISE
2015/8/25
We consider the statistical experiment given by a sample y(1), . . . , y(n) of a stationary Gaussian process with an unknown smooth spectral density f . Asymptotic equivalence, in the sense of Le Cam’...
ASYMPTOTIC EQUIVALENCE FOR NONPARAMETRIC REGRESSION
ASYMPTOTIC EQUIVALENCE NONPARAMETRIC REGRESSION
2015/8/25
We consider a nonparametric model En, generated by independent observations Xi, i = 1, ..., n, with densities p(x, θi), i = 1, ..., n, the parameters of which θi = f(i/n) ∈ Θ are driven by the values ...
ASYMPTOTIC EQUIVALENCE OF ESTIMATING A POISSON INTENSITY AND A POSITIVE DIFFUSION DRIFT
ASYMPTOTIC EQUIVALENCE ESTIMATING A POISSON INTENSITY POSITIVE DIFFUSION DRIFT
2015/8/25
We consider a diffusion model of small variance type with positive drift density varying in a nonparametric set. We investigate Gaussian and Poisson approximations to this model in the sense of asympt...
Asymptotic Error Rates in Quantum Hypothesis Testing
Asymptotic Error Rates Quantum Hypothesis Testing
2015/8/25
We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for the asymptotic expone...
The Asymptotic Minimax Constant for Sup-Norm Loss in Nonparametric Density Estimation
Density estimation exact constant optimal recovery uniform norm risk white noise
2015/8/25
We develop the exact constant of the risk asymptotics in the uniform norm for density estimation. This constant has first been found for nonparametric regression and for signal estimation in Gaussian ...
Asymptotic equivalence for nonparametric generalized linear models
Nonparametric regression Statistical experiment De® - ciency distance Global white noise approximation Exponential family Variance stabilizing transformation
2015/8/25
We establish that a non-Gaussian nonparametric regression model is asymptotically equivalent to a regression model with Gaussian noise. The approximation is in the sense of Le Cam's de®- ciency d...