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31.
In this paper, the behaviour of the positive eigenfunction of in u| = 0, p > 1, isstudied near its critical points. Under some convexity and symmetryassumptions on , is seen to have a unique critical point atx = 0; also, the behaviour of both and is determined nearby.Positive solutions u to some general problems pu = f(u)in , u| = 0, are also considered, with some convexity restrictionson u. 2000 Mathematics Subject Classification 35B05 (primary),35J65, 35J70 (secondary). 相似文献
32.
Jorge Picado 《Applied Categorical Structures》1994,2(3):297-313
The primary purpose of this paper is to study join-continuous frames. We present two representation theorems for them: one in terms of -subframes of complete Boolean algebras and the other in terms of certain Priestley spaces. This second representation is used to prove that the topological spaces whose frame of open sets is join-continuous are characterized by a condition which says that certain intersections of open sets are open. Finally, we show that Priestley's duality can be viewed as a partialization of the dual adjunction between the categories of, respectively, bitopological spaces and biframes, stated by B. Banaschewski, G. C. L. Brümmer and K. A. Hardie in [5].This work was partially supported by Centro de Matemáíica da Universidade de Coimbra. 相似文献
33.
Jorge D. Samur 《Probability Theory and Related Fields》1987,75(2):245-259
Summary Given a stationary, -mixing triangular array of Banach space valued random vectors whose row sums converge weakly to an infinitely divisible probability measure, necessary and sufficient conditions for the validity of the corresponding invariance principle in distribution are given. 相似文献
34.
Projected gradient methods for linearly constrained problems 总被引:23,自引:0,他引:23
The aim of this paper is to study the convergence properties of the gradient projection method and to apply these results
to algorithms for linearly constrained problems. The main convergence result is obtained by defining a projected gradient,
and proving that the gradient projection method forces the sequence of projected gradients to zero. A consequence of this
result is that if the gradient projection method converges to a nondegenerate point of a linearly constrained problem, then
the active and binding constraints are identified in a finite number of iterations. As an application of our theory, we develop
quadratic programming algorithms that iteratively explore a subspace defined by the active constraints. These algorithms are
able to drop and add many constraints from the active set, and can either compute an accurate minimizer by a direct method,
or an approximate minimizer by an iterative method of the conjugate gradient type. Thus, these algorithms are attractive for
large scale problems. We show that it is possible to develop a finite terminating quadratic programming algorithm without
non-degeneracy assumptions.
Work supported in part by the Applied Mathematical Sciences subprogram of the Office of Energy Research of the U.S. Department
of Energy under Contract W-31-109-Eng-38.
Work supported in part by the Applied Mathematical Sciences subprogram of the Office of Energy Research of the U.S. Department
of Energy under Contract W-31-109-Eng-38. 相似文献
35.
36.
Light scattering and reflection measurements using attenuated total reflection technique for s polarization of the incident light on a finite one-dimensional photonic crystal are reported. Angular specular reflection was measured experimentally to determine, the optimum thickness, the angular position of the surface mode, and the number of bi-layers of the system. It was demonstrated that the position of the surface mode inside the last film is close to the asymptotic value when the number of periods is increased. Spectral reflection measurements were made to determine experimentally the band gap width and measure the dispersion relation of the surface mode inside this band. The corresponding field amplitude was calculated (∣E∣2) showing that in resonant conditions it has a maximum near the surface. The angular dependence of the scattered light measured displays a peak caused by singles cattering and located approximately at the excitation angle of the surface electromagnetic mode. When the incident light is in resonance with the surface electromagnetic wave, it is found experimentally that the scattering of light is enhanced overall by approximately one order of magnitude in comparison with the off-resonance case. 相似文献
37.
The formation process of Zn/Cu surface alloys is investigated using the Bozzolo-Ferrante-Smith (BFS) method for alloys. The effects of the crystallographic orientation on the deposition process, formation of surface alloys as a function of temperature and coverage, Zn surface migration, and interdiffusion in the Cu substrate, are modeled and discussed with atom-by-atom energy analyses and large scale simulations. 相似文献
38.
We discuss the population dynamics with selection and random diffusion, keeping the total population constant, in a fitness landscape associated with Constraint Satisfaction, a paradigm for difficult optimization problems. We obtain a phase diagram in terms of the size of the population and the diffusion rate, with a glass phase inside which the dynamics keeps searching for better configurations, and outside which deleterious ‘mutations’ spoil the performance. The phase diagram is analogous to that of dense active matter in terms of temperature and drive.
相似文献39.
Leitão Jorge C. Parente Lopes João M. Viana Altmann Eduardo G. 《The European Physical Journal B - Condensed Matter and Complex Systems》2017,90(10):1-10
The European Physical Journal B - A way to make financial models effective is by letting them to represent the so called “fat tails”, i.e., extreme changes in stock prices that are... 相似文献
40.
Weissker HC Serrano J Huotari S Bruneval F Sottile F Monaco G Krisch M Olevano V Reining L 《Physical review letters》2006,97(23):237602
We present an investigation of the dynamic structure factor and of the dielectric function epsilonM(Q,omega) of the prototypical semiconductor silicon for finite momentum transfer, combining inelastic x-ray scattering experiments and ab initio calculations. In contrast with optical spectra, for finite momentum transfer time-dependent density-functional theory in the adiabatic local-density approximation together with lifetime broadening describes the physics of valence excitations correctly. Major structures in the spectra, governed by short-range crystal and exchange-correlation local-field effects, are strongly influenced by a mixing of transitions of positive and negative energies, in striking difference to spectra for vanishing momentum transfer. This mixing gives rise to a pronounced Fano asymmetry. 相似文献