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Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons.I.
Second-Order Corrections Mean Field Evolution Weakly Interacting Bosons
2015/10/16
Inspired by the works of Rodnianski and Schlein [31] and Wu [34,35], we derive a new nonlinear Schrödinger equation that describes a second-order correction to the usual tensor product (mean-fiel...
Second-order corrections to mean field evolution of weakly interacting Bosons.II
Second-order corrections Mean field evolution Weakly interacting bosons
2015/10/16
We study the evolution of an N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper Grillakis, Machedon, and Margetis (2010) [13], in which we derived a second-o...
ERRATUM:BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
This is a correction to the author’s article [Multiscale Model. Simul.,10 (2012), pp.383–417].
Existence and regularity of extremal solutions for a mean-curvature equation
Mean curvature minimal solution semi-stable solution extremal solution regularity
2015/10/15
We study a class of mean curvature equations −Mu = H +λup where M denotes the mean curvature operator and for p ≥ 1. We show that there exists an extremal parameter λ∗ such that this equat...
Passive tracer in a slowly decorrelating random flow with a large mean
Passive tracer slowly decorrelating random flow large mean
2015/7/14
We consider the movement of a particle advected by a random flow of the form v + δF(x), with v ∈ Rd a constant drift, F(x) – the fluctuation – given by a zero mean, stationary random field and δ 1 s...
Estimating the population mean using stratified median ranked set sampling
Simple random sampling ranked set sampling
2010/9/26
In this paper, stratified median ranked set sampling (SMRSS) method is suggested for estimating the population mean. The SMRSS is compared with simple random sampling (SRS), stratified simple random s...
Extreme(ly) mean(ingful): Sequential formation of a quality group
Extreme(ly) mean(ingful quality group
2010/11/19
The present paper studies the limiting behavior of the average score of a sequentially selected group of items or individuals, the underlying distribution of which, $F$, belongs to the Gumbel domain o...
New third order Runge Kutta based on contraharmonic mean for stiff problems
ODE solver Runge-Kutta method contraharmonic mean
2010/9/10
In this paper we introduce an explicit one–step method that can be used for solving stiff problems. This method can be viewed as a modification of the explicit third order runge-kutta method using the...
New method to estimate missing data by using the asymmetrical winsorized mean in a time series
Missing Data Winsorized mean Neyman Allocation
2010/9/14
In this paper we consider the problem of missing data in a time series analysis. We propose asymmetrical r = s winsorized mean to handle the problem of missing data. Beside that we suggested the Neym...
Guesstimation: A new justification of the geometric mean heuristic
heuristic estimates scale-invariance
2010/9/15
In many practical situations in which the only information we have about the quantity x is that its value is within an interval [x, x], a reas√ onable estimate for this quantity is the geometric mean ...
Operational equations for the five-point rectangle, the geometric mean, and data in prismatic array
Interpolation Experimental design Shifting operator
2010/9/14
This paper describes the results of three applications of operational calculus: new representations of five data in a rectangular array, new relationships among data in a prismatic array, and the oper...
Viscosity approximation methods for mean non-expansive mappings in Banach spaces
Viscosity approximation method Mean non-expansive mappings
2010/9/10
Let C be a nonempty closed convex subset of a real reflexive
Banach space X that has weakly continuous duality mapping J. Let T : C → C be a Mean non-expansive mapping with F(T) = ∅. For any t...
Almost sure convergence and in quadratic mean of the gradient stochastic process for the sequential estimation of a conditional expectation
Stochastic approximation Conditional expectation
2010/9/10
In this work, we present results of Almost Sure Convergence and in Quadratic Mean of the gradient stochastic process for the sequential estimation of a conditional expectation.
This work is motived b...
A New Upper Bound of the Logarithmic Mean
Logarithmic mean Power mean Heron mean Best constant
2008/7/3
A New Upper Bound of the Logarithmic Mean.
$S$-Geometric Convexity of a Function Involving Maclaurin's Elementary Symmetric Mean
Geometrically convex function $S$-geometrically convex function Inequality Maclaurin-Inequality
2008/7/3
$S$-Geometric Convexity of a Function Involving Maclaurin's Elementary Symmetric Mean.