increase in sympathetic activity during OSAS [3]. Different .... q su. sqZ. |),(. |. ),(. (3). 3. The scaling exponent )(q Ï measures the asymptotic decay of Z(q s) at fine ...
Sep 8, 2016 - test this assumption by examining speech rate convergence in spontaneous speech by female German speakers. We fit two linear mixed ...
Jun 5, 2013 - 1. Introduction. Stochastic modelling has been used with great success in a ... for the Cox-Ingersoll-Ross model with delay whose diffusion.
Apr 26, 2014 - generation of the heart rate signal is governed by nonlinear chaotic ..... in turbulence Dynamical Systems and Turbulence (Lecture Notes in.
In this paper we obtain the continuity of attractors for semilinear parabolic ... perturbations on the domain are such that the convergence of eigenvalues and ...
Cattin, R., Martelet, G., Henry, P., Avouac, J.-P., Diament, M. & Shakya,. T.R., 2001. Gravity ..... Verpeaux, P., Charras, T. & Millard, A., 1988. Castem 2000: une ...
Dec 10, 2014 - The following simple lemma holds. Lemma 2.1. Let E be Fréchet differentiable convex function. Then the following inequality holds for x ∈ S.
Dec 10, 2014 - Convergence and rate of convergence of some greedy algorithms in convex optimization. V.N. Temlyakov â. December 11, 2014. Abstract.
dollar real exchange rates; Guerra (2003) for the Swiss frankâGerman mark; Liew, ... (2002), and Camacho (2004), and extended the STR modelling developed.
beats (RR intervals) and indicates modulation of the heart rate by the autonomic nervous system. Decreased .... identification of the ectopic beats (Fig. 2).
hypnogram values at 30 seconds epochs. The scaling exponents using detrended fluctuation analysis (DFA) and the ApEn were then calculated for each sleep ...
Dec 7, 2013 - December 10, 2013. âUniversit`a di ... âN there are only deaths. ... random walk with death rate which also depends on the environment.
random heart rhythm poorly controlled by autonomic nervous system. Nonlinear dynamics methods such as. RQA have a potential to increase the reliability of ...
Statistical convergence and rate of convergence of a sequence of positive linear operators. Fadime Dirikâ. Abstract. In the present paper, a modification of ...
BNN to the Wardrop equilibrium, we see that BNN converges to the original Nash equilibrium for the symmetric case. Similar result holds for the replicator.
Sep 9, 2004 - In Section 2, we discuss the mean-field limit of a bosonic system and ..... An improved model of a boson star arises when high velocities of the ...
In the present paper we discuss ways of enforcing convergence .... Moreover, an Economic MPC algorithm was proposed in ..... in which w = [0.5 0.05 0.018] .
Keywords: Earthquake engineering, finite element analysis, sensitivity analysis, ... San Francisco, USA, July 6-9, 2003 ..... initial fundamental period of 0.52 sec.
Aug 7, 2006 - the mass of an electron, the leading contribution to the total kinetic energy of a white dwarf ... The function of p within curly brackets on the right side of (1) has a minimum ... white dwarf, or a neutron star, quantum-mechnically, b
Feb 2, 2000 - broadest scope of issues that are of substantive interest to ... NDS-psychology areas that have the broadest ... matician R. Abraham, and graphic artist Shaw ..... the case of a feasible task, the common learning .... theories are: (a)
to solve these equations and obtain a solution (closed form, series, or numeric). One ... chaotic or definitely not and do so in about equal proportions. .... 6. Chapter 1. Exordium. The lungs are surrounded by three muscle groups: the ...... In prac
Jul 8, 1996 - HAROLD M. HASTINGS*t, STEVEN J. EvANSt, WEILUN QUANt, MARTHA L. CHONG*, ... These electrograms,V(t) were analyzed off-line to.
The surrogate data generating algorithms AAFT, IAAFT and STAP, as well as a residual- ..... where the number of lags L is a free-parameter set by the user.
May 11, 2011 - We note that U2 is well-defined on FX, since the free evolutions .... [aâ x, â«â« dydzV (y â z)Ït(y)Ït(z)aâ zay] = â â« dyV (x â y)Ït(x)Ït(y)aâ y,. [ax,.
arXiv:1008.3942v2 [math-ph] 11 May 2011
RATE OF CONVERGENCE IN NONLINEAR HARTREE DYNAMICS WITH FACTORIZED INITIAL DATA LI CHEN AND JI OON LEE Abstract. The mean field dynamics of an N -particle weekly interacting Boson system can be described by the nonlinear Hartree equation. In this paper, we present estimates on the 1/N rate of convergence of many-body Schr¨ odinger dynamics to the one-body nonlinear Hartree dynamics with factorized initial data with two-body interaction potential V in L3 (R3 ) + L∞ (R3 ).
1. Introduction and Main Result 1.1. Setting and history of the problem. In a non-relativistic case, the dynamics of an N -particle system is governed by the Schr¨odinger equation. For a real physical system, however, N is usually very large so that it is hopeless to solve the N -body Schr¨odinger equation directly. There were many efforts to describe such a system by approximating by a simpler dynamics. One of the most important cases is a system of N -weakly interacting Bosons, which can be approximated well by using the nonlinear Hartree equation. We consider a system of N -interacting three-dimensional Bosons in R3 , described on (L2 (R3N ))s , the subspace of L2 (R3N , dXN ) consisting of all symmetric functions, where XN := (x1 , x2 , · · · , xN ). Given the two-particle interaction V , the mean-field Hamiltonian of this system is HN := −
