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81.
Journal of Statistical Physics - In this paper, we will study the long time behavior of the simple symmetric exclusion process in the “channel” $$varLambda _N=[1,N]cap mathbb {N}$$... 相似文献
82.
83.
84.
Positivity - This paper continues the study of ‘good arrangements’ of collections of sets near a point in their intersection. Our aim is to develop a general scheme for quantitative... 相似文献
85.
Vladimir A. Andreev Margarita A. Man’ko Vladimir I. Man’ko Nguyen Cong Thanh Nguyen Hung Son Stanislav D. Zakharov 《Journal of Russian Laser Research》2009,30(6):591-598
Tomographic probability representation is introduced for fermion fields. The states of the fermions are mapped onto the probability
distribution of discrete random variables (spin projections). The operators acting on the fermion states are described by
fermionic tomographic symbols. The product of the operators acting on the fermion states is mapped onto the star-product of
the fermionic symbols. The kernel of the star-product is obtained. The antisymmetry of the fermion states is formulated as
a specific symmetry property of the tomographic joint probability distribution associated with the states. 相似文献
86.
Toka Diagana Gaston Nguerekata Nguyen Van Minh 《Proceedings of the American Mathematical Society》2004,132(11):3289-3298
This paper is concerned with the existence of almost automorphic mild solutions to equations of the form
where generates a holomorphic semigroup and is an almost automorphic function. Since almost automorphic functions may not be uniformly continuous, we introduce the notion of the uniform spectrum of a function. By modifying the method of sums of commuting operators used in previous works for the case of bounded uniformly continuous solutions, we obtain sufficient conditions for the existence of almost automorphic mild solutions to in terms of the imaginary spectrum of and the uniform spectrum of .
where generates a holomorphic semigroup and is an almost automorphic function. Since almost automorphic functions may not be uniformly continuous, we introduce the notion of the uniform spectrum of a function. By modifying the method of sums of commuting operators used in previous works for the case of bounded uniformly continuous solutions, we obtain sufficient conditions for the existence of almost automorphic mild solutions to in terms of the imaginary spectrum of and the uniform spectrum of .
87.
88.
Nguyen Thanh Qui 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(5):1676-1689
Under a mild regularity assumption, we derive an exact formula for the Fréchet coderivative and some estimates for the Mordukhovich coderivative of the normal cone mappings of perturbed polyhedra in reflexive Banach spaces. Our focus point is a positive linear independence condition, which is a relaxed form of the linear independence condition employed recently by Henrion et al. (2010) [1], and Nam (2010) [3]. The formulae obtained allow us to get new results on solution stability of affine variational inequalities under linear perturbations. Thus, our paper develops some aspects of the work of Henrion et al. (2010) [1] Nam (2010) [3] Qui (in press) [12] and Yao and Yen (2009) [6] and [7]. 相似文献
89.
Le Thi Phuong Ngoc Nguyen Thanh Long 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(18):7111-7125
Motivated by the recent known results about the solvability and existence of asymptotically stable solutions for nonlinear functional integral equations in spaces of functions defined on unbounded intervals with values in the n-dimensional real space, we establish asymptotically stable solutions for a nonlinear functional integral equation in the space of all continuous functions on R+ with values in a general Banach space, via a fixed point theorem of Krasnosel’skii type. In order to illustrate the result obtained here, an example is given. 相似文献
90.
We study the nature of the smectic–isotropic phase transition using a mobile 6-state Potts model. Each Potts state represents a molecular orientation. We show that with the choice of an appropriate microscopic Hamiltonian describing the interaction between individual molecules modeled by a mobile 6-state Potts spins, we observe the smectic phase dynamically formed when we cool the molecules from the isotropic phase to low temperatures (T). In order to elucidate the order of the transition and the low-T properties, we use the high-performance Wang–Landau flat energy-histogram technique. We show that the smectic phase goes to the liquid (isotropic) phase by melting/evaporating layer by layer starting from the film surface with increasing T. At a higher T, the whole remaining layers become orientationally disordered. The melting of each layer is characterized by a peak of the specific heat. Such a succession of partial transitions cannot be seen by the Metropolis algorithm. The successive layer meltings/evaporations at low T are found to have a first-order character by examining the energy histogram. These results are in agreement with experiments performed on some smectic liquid crystals. 相似文献