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We prove the existence and give the asymptotic behavior of non local fronts in homogeneous media.
The rotor-router model is a deterministic analogue of random walk invented by Jim Propp. It can be used to definea deterministic aggregation model analogous to internal diffusion limited aggregation. ...
The rotor-router model is a deterministic analogue of random walk.It can be used to define a deterministic growth model analogous to internal DLA. We prove that the asymptotic shape of this model is a...
In this paper we consider the motion of a tracer in a flow that is locally self-similar and whose correlations decay at infinity but at the rate that does not guarantee that the flow does not have ”me...
We consider the long time limit theorems for the solutions of a discrete wave equation with a weak stochastic forcing. The multiplicative noise conserves the energy and the momentum. We obtain a time-...
We study the one-parameter family of determinants $det(I-\gamma K_{PII}),\gamma\in\mathbb{R}$ of an integrable Fredholm operator $K_{PII}$ acting on the interval $(-s,s)$ whose kernel is constructed o...
We consider a class of stochastic reaction-diffusion equations also having a stochastic perturbation on the boundary and we show that when the diffusion rate is much larger than the rate of reaction, ...
Barrieu, Rouault, and Yor [J. Appl. Probab. 41 (2004)] determined asymptotics for the logarithm of the distribution function of the Hartman-Watson distribution. We determine the asymptotics of the de...
In this article we show that the large time asymptotics for the Grinevich-Zakharov rational solutions of the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) is given b...
On the precise asymptotics in complete moment convergence of moving average processes under NA random variables.
In this paper, we enumerate k-noncrossing tangled-diagrams. A tangled-diagram is a labeled graph with vertices 1,..., n, having degree ≤ 2, which are arranged in increasing order in a horizontal line....
The asymptotic expansion of the heat kernel $\Theta(t)=\sum\limits_{j=1}^\infty \exp (-t\lambda \Sb \\ j \endSb )$where $\{\lambda \Sb \\ j \endSb \}\Sb\\ j=1 \endSb ^\infty $ are the eigenvalues...

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