440,527 research outputs found

    On a nonlinear recurrent relation

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    We study the limiting behavior for the solutions of a nonlinear recurrent relation which arises from the study of Navier-Stokes equations. Some stability theorems are also shown concerning a related class of linear recurrent relations.Comment: to appear in Journal of Statistical Physic

    Separating Solution of a Quadratic Recurrent Equation

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    In this paper we consider the recurrent equation Λp+1=1pq=1pf(qp+1)ΛqΛp+1q\Lambda_{p+1}=\frac1p\sum_{q=1}^pf\bigg(\frac{q}{p+1}\bigg)\Lambda_{q}\Lambda_{p+1-q} for p1p\ge 1 with fC[0,1]f\in C[0,1] and Λ1=y>0\Lambda_1=y>0 given. We give conditions on ff that guarantee the existence of y(0)y^{(0)} such that the sequence Λp\Lambda_p with Λ1=y(0)\Lambda_1=y^{(0)} tends to a finite positive limit as pp\to \infty.Comment: 13 pages, 6 figures, submitted to J. Stat. Phy

    Using multiple metrics for rate adaptation algorithms in IEEE 802.11 WLANs

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