Results 251 to 260 of about 241,711 (290)

ASYMPTOTIC BEHAVIOUR OF DISCRETE LINEAR PROCESSES

Journal of Time Series Analysis, 1985
Abstract. We consider the linear process Yn(ω) =ΣAk(ω) ·Xn‐k (ω) on a probability space (Ω, P) and ask for sufficient conditions in order to get a limit theorem for (Yk) if the corresponding limit theorem for (Xk) is true.
Stadtmüller, U., Trautner, R.
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Asymptotic behaviour of the partition function

Sbornik: Mathematics, 2000
For given integers \(m\) and \(d, 2\leq m\leq d\), the author studies the ``partition function \(b_{m,d}\) of order \(d\) with base \(m\)'', \[ b_{m,d}(n) := \#\Bigl\{ (a_0, a_1, \dots); \quad n = \sum_k a_k\cdot m^k, \text{ where } a_k\in \{0,1,\dots,d-1\},\;k\geq 0 \Bigr\}, \] and the partition function of order \(\infty\), \[ b_{m,\infty}(n) = \lim_{
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Asymptotic behaviour in convection–diffusion processes

Nonlinear Analysis: Theory, Methods & Applications, 1999
The Cauchy problem for the equation \[ u_t=(u^m)_{xx}+(u^n)_x \] is studied for \(m>1\) and \(n\geq m+1\). It is shown that for \(n> m+1\) the solution behaves (as \(t\to\infty\)) like the Barenblatt solution of the porous medium equation having the same mass. If \(n=m+1\) then the behavior is asymptotically selfsimilar.
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Asymptotic behaviour of neural networks

AIP Conference Proceedings, 1998
A new method is presented for analysing the global stability properties of neural networks. An efficient and numerically robust procedure is developed for estimating regions of asymptotic stability. The method combines Liapunov theory, simulation in reverse time and some topological properties of the true stability region.
M. Loccufier, E. Noldus
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Fourier Transform-Asymptotic Behaviour

1992
In applications the problem often arises of finding a Fourier transform g(ξ) = F f(x) of a given function f(x). Even when f(x) has a relatively simple form, g(ξ) may or may not be expressed in a closed form, i.e. in terms of known functions. In such a case we have to return to the definition of Fourier transformation and calculate numerically the ...
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DAMA and regge asymptotic behaviour

Il Nuovo Cimento A, 1972
The high-energy behaviour of a dual amplitude with Mandelstam analyticity (DAMA) is investigated. A detailed analysis of the dependence of the asymptotic behaviour of DAMA on the position of the boundary of the spectral function and on the asymptotic form of the Regge trajectory is given.
A. I. Bugrij, L. L. Jenkovszky, N. A. Kobylinsky, V. P. Shelest   +3 more
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Asymptotic behaviour of micropolar adhesives

Le Journal de Physique IV, 1998
This work describes the asymptotic mechanical behaviour of two elastic adherends adhesively bonded by a thin elastic micropolar adhesive when the thinness of the adhesive layer goes to 0. This asymptotic analysis is performed using first the asymptotic expansion method through the mixed Hellinger-Reissner variational formulation.
A. Brillard, J. F. Ganghoffer, R. de Borst   +2 more
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Asymptotic behaviour of ferromagnetic wires

AIP Conference Proceedings, 2023
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Asymptotic Behaviour of Markov Chains

2017
Consider an hmc that is irreducible and positive recurrent. If its initial distribution is the stationary distribution, it keeps the same distribution at all times.
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Asymptotic behaviour

1986
B. DE WIT, J. SMITH
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