Stable Planes from Lie Groups with Planar Partitions

We describe necessary and sufficient conditions under which a topological translation structure obtained from a Lie group with planar partition can be turned into a stable plane, thereby proving a conjecture due to Stroppel.     

On the origin of the phase–space diffusion limit in (dis)ordered protein aggregation

Derivation of a phase–space diffusion limit (D-L) allows to obtain a useful formula for a characteristic width of the macroion-channeling filter, controlling model (dis)ordered protein aggregations in a non-ideal aqueous solution. The channel’s width is estimated at the order of an inner half-width of the Stern-type double layer circumventing the growing object and depends in turn on an interplay of the local thermal and electrostatic conditions. The interfacial channeling effect manifests at the edge of biomolecular hydration-duration dependent (non)Markovianity of the system. The interface vs. solution aggregation late-time dynamics are discussed in such local (non)isothermal context with the aim to suggest their experimental assessment.     

CLASSIFICATIONS OF (2,1)-STABLE AND (1,2)-STABLE UNFOLDINGS OF MAP GERMS WITH CODIMENTION≤3

1IntroductionConsideringthecoarseuessoftheequivalencerelationonunfoldingsusedinThom'scel-ebratedlistofsevenelementarycatastrophesWassermanndeveloped(r,s)-stableunfoldingtheoryinhispaper[4]andgavetheclassificationsof(1,3)-,(3,1)-stableunfoldings.Andclassificationof(2,2)-stableunfoldingswasgivenin[51.Forthecompletenessof(r,s)-stableunfoldingtheoryanditsapplicationinbifllrcationproblemundertheframeworkof(r,s)-equiv-alenceweclassify(2,1)-stableand(1,2)-stableunfoldingsofmaPgermswithcodimentions53…     

Cyclical strategies in two-dimensional optimal control models: Necessary conditions and existence

This paper derives necessary conditions such that cyclical policies may be optimal in concave, two state variable (economic) control problems. These conditions identify four different routes. One major implication is that two of these four conditions may be met by separable models. This possibility has been overlooked so far. Therefore, even separable and structurally very simple models may be characterized by optimal cyclical policies. Indeed, it will be shown that stable limit cycles exist for concave and separable control problems.     

Wavelet-Based Estimation for Univariate Stable Laws

Stable distributions are characterized by four parameters which can be estimated via a number of methods, and although approximate maximum likelihood estimation techniques have been proposed, they are computationally intensive and difficult to implement. This article describes a fast, wavelet-based, regression-type method for estimating the parameters of a stable distribution. Fourier domain representations, combined with a wavelet multiresolution approach, are shown to be effective and highly efficient tools for inference in stable law families. Our procedures are illustrated and compared with other estimation methods using simulated data, and an application to a real data example is explored. One novel aspect of this work is that here wavelets are being used to solve a parametric problem, rather than a nonparametric one, which is the more typical context in wavelet applications.     

Composition of stable set polyhedra

Barahona and Mahjoub found a defining system of the stable set polytope for a graph with a cut-set of cardinality 2. We extend this result to cut-sets composed of a complete graph minus an edge and use the new theorem to derive a class of facets.     

A Necklace of Wulff Shapes

In a probabilistic model of a film over a disordered substrate, Monte-Carlo simulations show that the film hangs from peaks of the substrate. The film profile is well approximated by a necklace of Wulff shapes. Such a necklace can be obtained as the infimum of a collection of Wulff shapes resting on the substrate. When the random substrate is given by iid heights with exponential distribution, we prove estimates on the probability density of the resulting peaks, at small density.AMS subject classification: 60K35, 60K37, 82B24, 82B41     

Electronic quasiparticles and evolution of Fermi level spin states in thin magnetic layers

Here we report on high-resolution photoemission of iron layers grown on a W(1 1 0) substrate. The evolution of the substrate states upon sub-monolayer adsorption of Fe atoms leads to a shift in surface state binding energy. For thicker (1 1 0) films, sharp metallic surface states are obtained. Their dispersion displays the signature of quasiparticle renormalization due to dressing with excitations. The energy scale is characteristic for the spin wave spectrum in iron, thereby giving evidence of electron-magnon coupling. Furthermore, it is found that quantum well states occur as a function of layer thickness. These modify the spin density of states at the Fermi level in the ferromagnetic film.     

关于矩阵分解为稳定矩阵之和的讨论

要解决的问题是一个矩阵是否可以分解为若干稳定 (连续时间意义下 )矩阵的和 .通过推广Ito,Hattori and Maeda在文献 [2 ]中使用的方法并运用其中的成果 ,我们得到了更为准确的相关结论 .     

带调速器的多台机组的暂态关联稳定性

对于带调速器的多台电机组,本文引入关联矩阵E=(e_(ij))_(n×n),应用李雅普诺夫函数分解法,研究了此电力大系统的暂态关联稳定性,得到了系统的分解系数与稳定区域的估计公式。