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We formulate a phase-field, or diffuse-interface, model for the evolution of stepped surfaces under surface diffusion in the presence of distinct material parameters across nanoscale terraces. In the ...
Microphone arrays provide new opportunities for noise reduction and speech enhancement. This paper presents anovel decomposition of the estimation problems for short-time spectral amplitude (STSA), lo...
We derive fast algorithms for doing signal reconstruction without phase. This type of problem is important insignal processing, especially speech recognition technology, and has relevance for state to...
We will construct new classes of Parseval frames for a Hilbert space which allow signal reconstruction from theabsolute value of the frame coefficients. As a consequence, signal reconstruction can be ...
This paper introduces a novel approach for rapidly computing a very large number of geodesics on a smooth surface.The idea is to apply the recently developed phase flow method [L. Ying, E.J. Cande `s,...
We prove that, for a general class of random operators, the family of the unfolded eigenvalues in the localization region is asymptotically ergodic in the sense of N. Minami (see [24]). N. Minami conj...
The theoretical studies involved development of the differential equations which describe the instability of water by an oil-saturated rock. The basic assumption underlying the present investigation i...
In the present paper, we introduce a new kind of $p$-adic measures for $q+1$-state Potts model, called {\it $p$-adic quasi Gibbs measure}. For such a model, we derive a recursive relations with respe...
We show that one half is a lower bound for the critical probability of an oriented site percolation process of Grimmett and Hiemer. This value improves the known lower bound of one third. We employ an...
In this study, base on traditional lapped transform’s properties, inherit from some of the special characteristic properties of discrete cosine transform, trigonometric identities and the structure ...
The purpose of the paper is to model the nonlinear relation characterizing the ferroelectric properties of polycrystals and to frame the paraelectric-ferroelectric transition as a classical transition...
The purpose of the paper is to set up a scheme which embodies and generalizes a wide class of phase-transition models and, moreover, provides a direct approach which avoids ad-hoc assumptions. The sta...
In this paper, the existence of a global periodic attractor for a third-order phase-lockedloop with tangential phase detector characteristic and frequency modulation input is provedunder some conditio...
For compressible two-phase displacement problem, themodified upwind finite difference fractional steps schemes are putforward. Some techniques, such as calculus of variations,commutative law of multip...
The purpose of this paper is to prove the uniform stability of multidimensional subsonic phase transitions satisfying the viscosity-capillarity criterion in a van der Waals fluid, and further to estab...

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