Results 31 to 40 of about 466,237 (288)
Asymptotic integration of systems of two wave equations with small parameter
In this article we consider a hyperbolic system of two weakly nonlinear equations. Coefficients of the equations and initial conditions are periodical functions of the space variable.
Aleksandras Krylovas
doaj +1 more source
Convergence rate of linear two-time-scale stochastic approximation
We study the rate of convergence of linear two-time-scale stochastic approximation methods. We consider two-time-scale linear iterations driven by i.i.d. noise, prove some results on their asymptotic covariance and establish asymptotic normality.
Konda, Vijay R., Tsitsiklis, John N.
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Lyapunov functions for linear nonautonomous dynamical equations on time scales [PDF]
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded ...
Kloeden, Peter E., Zmorzynska, Alexandra
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The middle-scale asymptotics of Wishart matrices [PDF]
We study the behavior of a real $p$-dimensional Wishart random matrix with $n$ degrees of freedom when $n,p\rightarrow\infty$ but $p/n\rightarrow 0$. We establish the existence of phase transitions when $p$ grows at the order $n^{(K+1)/(K+3)}$ for every $k\in\mathbb{N}$, and derive expressions for approximating densities between every two phase ...
Chételat, Didier, Wells, Martin T.
openaire +4 more sources
Asymptotic scaling and Monte Carlo data [PDF]
It is a generally known problem that the behaviour predicted from perturbation theory for asymptotically free theories like QCD, i.e. asymptotic scaling, has not been observed in Monte Carlo simulations when the series is expressed in terms of the bare coupling g_0. This discrepancy has been explained in the past with the poor convergence properties of
Trivini, A., Allton, C. R.
+6 more sources
Dynamical systems approach to G2 cosmology [PDF]
In this paper we present a new approach for studying the dynamics of spatially inhomogeneous cosmological models with one spatial degree of freedom.
Anguige K +42 more
core +4 more sources
Minimax Estimation of Nonregular Parameters and Discontinuity in Minimax Risk
When a parameter of interest is nondifferentiable in the probability, the existing theory of semiparametric efficient estimation is not applicable, as it does not have an influence function.
Bickel P. J. +7 more
core +1 more source
On Entropy Test for Conditionally Heteroscedastic Location-Scale Time Series Models
This study considers the goodness of fit test for a class of conditionally heteroscedastic location-scale time series models. For this task, we develop an entropy-type goodness of fit test based on residuals.
Sangyeol Lee, Minjo Kim
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Computer-Aided Derivation of Multi-scale Models: A Rewriting Framework
We introduce a framework for computer-aided derivation of multi-scale models. It relies on a combination of an asymptotic method used in the field of partial differential equations with term rewriting techniques coming from computer science.
Belkhir, Walid +2 more
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Multiple-scale analysis and renormalization for pre-asymptotic scalar transport [PDF]
Pre-asymptotic transport of a scalar quantity passively advected by a velocity field formed by a large-scale component superimposed to a small-scale fluctuation is investigated both analytically and by means of numerical simulations.
Mazzino, A., Musacchio, S., Vulpiani, A.
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