Results 271 to 280 of about 50,240 (308)

Asymptotic Normality of Scaling Functions

SIAM Journal on Mathematical Analysis, 2004
The properties of probability measures are investigated. It is shown that if \(m\) is a probability measure on \(R\) with finite first moment, then the solution of the scaling equation \[ \phi (x) = \int_{R} \alpha \phi (\alpha x - y)\,dm(y),\quad x \in {\mathbb R} , \] is also a probability measure with the scale \(\alpha > 1\).
Goodman, Timothy, Chen, Louis H. Y., Lee, S. L.   +2 more
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Asymptotics for Scaled Kramers--Smoluchowski Equations

SIAM Journal on Mathematical Analysis, 2016
The Kramers-Smoluchowski equation for density \(\rho\) of diffusing material is a linear parabolic equation, which takes the form of \[ \rho_t = (\rho_{\xi} + \epsilon^{-2}\Phi'\rho)_{\xi} \] in the one-dimensional space, and is similarly generalized to the multidimensional settings.
Lawrence C. Evans, Peyam R. Tabrizian
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Asymptotic scaling in turbulent pipe flow

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2007
The streamwise velocity component in turbulent pipe flow is assessed to determine whether it exhibits asymptotic behaviour that is indicative of high Reynolds numbers. The asymptotic behaviour of both the mean velocity (in the form of the log law) and that of the second moment of the streamwise component of velocity in the outer and ...
McKeon, B. J., Morrison, J. F.
openaire   +3 more sources

Scaling Asymptotics for Szegő Kernels on Grauert Tubes

The Journal of Geometric Analysis, 2022
Version to appear in The Journal of Geometric ...
Robert Chang, Abraham Rabinowitz
openaire   +1 more source

Asymptotic-Freedom Scales

Physical Review Letters, 1980
Using Monte Carlo methods with Wilson's lattice cutoff, the asymptotic-freedom scales of SU(2) and SU(3) gauge theories without quarks are calculated.
openaire   +1 more source

Scaling, asymptotic scaling and improved perturbation theory

Il Nuovo Cimento A, 1994
Contrary to recent claims, we show that lattice perturbation theory reproduces quite accurately Monte Carlo results of short-distance quantities. We argue that the present numerical situation strongly suggests the occurrence of a (zero temperature) deconfining transition in QCD at non-zero lattice coupling.
A. Patrascioiu, E. Seiler
openaire   +1 more source

Exclusive photonuclear reactions and asymptotic scaling

Physical Review C, 1990
Recent measurements of electron-deuteron elastic scattering at high momentum transfer have placed an empirical lower limit on the momentum transfer for the onset of asymptotic scaling. The implications that this limit has for the {sup 2}H({gamma},{ital p}){ital n}, {sup 2}H({gamma},{ital d}){pi}{sup 0}, and {sup 3}He({gamma},{ital d})H reactions will ...
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Onset of asymptotically free scaling

Physical Review D, 1982
We argue that the onset of asymptotically free scaling for the string tension in SU(2) lattice gauge theories need not be associated with the bulk transitions seen in the Monte Carlo specific-heat data. This is specifically realized in a class of constrained models where these two crossover phenomena are completely separated.
Richard C. Brower, David A. Kessler, Herbert Levine   +2 more
openaire   +1 more source

Asymptotic Approximations and Extension of Time-Scales

SIAM Journal on Mathematical Analysis, 1980
It is shown how to obtain $O(\varepsilon )$ (or any higher order)-approximations to the solutions of the differential equation \[\begin{gathered} \dot \phi = 1 + \sum\limits_{p = 1}^p {\varepsilon ^p X^p (\phi ,X),\quad \phi \in S^1, } \hfill \\ \dot x = \sum_{p = 1}^p {\varepsilon ^p Y^p (\phi ,X),\quad \begin{array}{*{20}c} {\varepsilon \in (0 ...
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ASYMPTOTIC MINIMAX PROPERTIES OF L‐ESTIMATORS OF SCALE

Australian Journal of Statistics, 1992
SummaryThis paper asks whether or not the efficient L‐estimator of scale corresponding to the least informative distribution in ε‐contamination and Kol‐mogorov neighbourhoods of certain distributions possesses the saddlepoint property. This is of interest since the saddlepoint property implies the mini‐max property, namely, that the supremum of the ...
Wu, E. K. H., Leung, Denis H. Y.
openaire   +3 more sources