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We study the scaling limits of three different aggregation models on Zd: internal DLA, in which particles perform random walks until reaching an unoccupied site; the rotor-router model, in which parti...
We consider a regularized Wigner equation with an oscillatory kernel, the regularization acts in the space variable to damp high frequencies. The oscillatory kernel is directly derived from the Schrod...
We consider a model for the propagation of a subsonic detonation wave through a porous medium introduced by Sivashinsky [8]. We show that it admits travelling wave solutions that converge in the limit...
We consider fluctuations of the solution W ε(t, x, k) of the Wigner equation, which describes energy evolution of a solution of the Schr¨odinger equation with a random white noise in time potential. T...
We present the results of a large number of careful numerical experiments carried out to investigate the way that the solution of the integrable focusing nonlinear Schrodinger equation with - xed ini...
In the present paper, we consider the models for large dependent risk portfolios, especially for credit risk models. Furthermore, the central limit theorem and moderate deviations principle of models ...
We study the global dynamics of integrate and fire neural networks composed of an arbitrary number of identical neurons interacting by inhibition and excitation. We prove that if the interactions are...
In the paper we introduce the truncated variation, upward truncated variation and downward truncated variation. These are closely related to the total variation but are well-defined even if the latte...
When assessing the oil reserves of a given region, often the statistic S = R/P is used, where R denotes the amount of proven reserves in the region and P is the current rate of production. This statis...
Some notions of conditionally dominated random variables are introduced and characterized, Under rather minimal assumptions on random variables {X,Xn, n ≥ 1}, some limit theorems of Jamison’s type of ...
In this paper, we extend the work of J. Cai [1] in the nonlinear case using the investment function of the Kaldor-type. Actually we investigate the direction of the Hopf bifurcation and the stability ...
In this paper we study the stability of the periodic solutions of a model set forth by M. A. Aziz Alaoui et al. [1, 11] with time delay, which describes the competition between the predator and prey. ...
1 is also studied. Furthermore, we make a comparison between GP and RP, including the comparison of their limit distributions of the age, residual life and the total life at t.
In this paper, we investigate the number, location andstability of limit cycles in a class of perturbed polynomialsystems with $(2n+1)$ or $(2n+2)$-degree by constructing detectionfunction and using q...

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