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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...
An implicit asymptotic-preserving and energy-charge conserving (APECC) Particle-In-Cell method is proposed to solve the Vlasov-Maxwell (VM) equations in the quasi-neutral limit. Charge conservation is...
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...
2018年2月,有关“外区域中大初值柱对称流的渐近行为”的研究成果将刊发在非线性分析领域国际重要期刊《Nonlinear Analysis: Real World Applications》上。该文第一作者为中国地质大学数理学院特任副教授万灵博士。
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 ...
In a recent work, Kim and Barbulescu had extended the tower number field sieve algorithm to obtain improved asymptotic complexities in the medium prime case for the discrete logarithm problem on Fpn w...
We provide for the first time an asymptotic comparison of all known algorithms for the search version of the Learning with Errors (LWE) problem. This includes an analysis of several lattice-based ap...
We investigate the asymptotic relationship between quantum cloning and quantum estimation from the global point of view where all the copies produced by the cloner are considered jointly.For an N-to-M...
We pose the question whether the asymptotic equivalence between quantum cloning and quantum state estimation, valid at the single-clone level, still holds when all clones are examined globally. We con...
A necessary and sufficient condition for the asymptotic idealness of the AsmuthBloom threshold secret sharing scheme is proposed. Apart from this, a comprehensive analysis of the known variants of t...
An analytical property is pointed out for the universal differential equation first derived by Dalfovo, Pitaevskii, and Stringari for the condensate wave function at the boundary of a trapped Bose gas...
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...
By far, the most popular test for spatial correlation is the one based on Moran’s (1950) I test statistic. Despite this, the available results in the literature concerning the large sample distributio...
The development of a general inferential theory for nonlinear models with cross-sectionally or spatially dependent data has been hampered by a lack of appropriate limit theorems. To facilitate a gener...
We consider a dynamic panel AR(1) model with Öxed e§ects when both n and T are large. It is shown that the MLE motivated by the random e§ects assumption is asymptotically unbiased even when the ...

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