Results 231 to 240 of about 3,595 (260)

Spread of branching diffusion: Sharp asymptotics

Stochastics and Stochastic Reports, 2004
A one-dimensional branching diffusion with a stable drift is considered. Let Rt denote the position of the rightmost particle at time t. It is shown that Rt , properly normalized, has a limiting distribution.
A. Korostelev, O. Korosteleva
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An Asymptotic Model for the Spreading of a Collimated Beam

Nuclear Science and Engineering, 1992
In this paper, the authors show, using asymptotics, that under conditions when the angular distribution is forward peaked, the transport equation can be reduced to an advection-diffusion equation for the scalar flux. This equation describes lateral diffusive spreading with depth of an initially collimated beam of arbitrary spatial cross section and is ...
G. C. Pomraning, A. K. Prinja, J. W. VanDenburg   +2 more
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The asymptotic spread of estimators

Journal of Statistical Planning and Inference, 1989
The spread and asymptotic spread of estimators are discussed. Inequalities on local and global asymptotic spread of estimators are derived under certain regularity conditions.
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On the progressive spread over strategic diffusion: Asymptotic and computation

2015 IEEE Conference on Computer Communications (INFOCOM), 2015
We study how an innovation (e.g., product or technology) diffuses over a social network when individuals strategically make selfish, rational choices in adopting the new innovation. This diffusion has been studied by modeling individuals' interactions with a noisy best response dynamic over a networked coordination game, but mainly in the ...
Jungseul Ok, Jinwoo Shin, Yung Yi
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Asymptotic Speeds of Spread for a Nonlocal Diffusion Equation

Journal of Dynamics and Differential Equations, 2016
The author studies the spatial spreading dynamics of a class of nonlocal diffusion equation \[ {u_t}(t,x) = (J * u - u)(t,x) + f(u,G * * S(u))(t,x), \] where \(t \geq 0\), \(x \in \mathbb R\) and \(J \in {L^1}(\mathbb R)\) is a nonnegative symmetric kernel function.
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Optimum asymptotic multiuser efficiency of randomly spread CDMA

IEEE Transactions on Information Theory, 2000
Summary: This correspondence analyzes the high signal-to-noise ratio performance of optimum multiuser detectors for synchronous direct-sequence spread spectrum with random spreading in an additive white Gaussian noise channel. Under very general conditions on the received powers, we show that the optimum asymptotic efficiency of a \(K\)-user system ...
David N. C. Tse, Sergio Verdú
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Asymptotic Approach to the Hill Model of Spread in Rolling

Journal of Engineering Materials and Technology, 1995
A simplified procedure for the solution of the spread model proposed by Hill (1963) is presented for situations where the strip width is greater than the roll-gap length. The method utilizes a perturbation expansion for the width function and results in a simple analytical solution, overcoming the difficulties involved in solving the original complex ...
S. Domanti, D. L. S. McElwain, R. H. Middleton   +2 more
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Note on analytic spread and asymptotic sequences

Mathematical Proceedings of the Cambridge Philosophical Society, 1983
Since the foundational paper (10) by Northcott and Rees in 1954 there have been quite a few papers concerning reductions of ideals and the analytic spread of an ideal. One particular line of investigation concerning the analytic spread l(I) of an ideal I in a local ring (R, M) was begun in 1972 by Burch in (5), where it was shown that l(I) ≤ altitude R
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Asymptotic theory of the spreading of partially wetting liquid

Journal of Engineering Physics, 1989
A mathematical model of the spreading of liquid along a plane solid surface is constituted for a finite equilibrium angle of wetting.
K. B. Pavlov, A. S. Romanov, A. P. Shakhorin   +2 more
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Dynamics and asymptotical behavior of spreading processes in a closed system

Physical Review E, 2004
We construct differential-integrative equations to investigate the effects of different distributions for the incubation period, defined as the period between receiving of the message and the beginning of the active state, and for the active period, the length of the active state, on the spreading dynamics in a closed system where one member can be ...
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