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Nonparametric Regression with Discrete Covariate and Missing Values
Nonparametric Regression Discrete kernel smoothing Imputation Missing Values Variance Reduction
2016/1/19
We consider nonparametric regression with a mixture of continuous and discrete ex-planatory variables where realizations of the response variable may be missing. An impu-tation based nonparametric reg...
On the Validity of Long-Run Estimation Methods for Discrete-Event Systems
Validity Long-Run Estimation Methods Discrete-Event Systems
2015/7/8
On the Validity of Long-Run Estimation Methods for Discrete-Event Systems.
Statistical Mechanics of a Discrete Nonlinear System
Statistical mechanics discrete nonlinear schrodinger equation the partition function
2014/12/29
Statistical mechanics of the discrete nonlinear Schrödinger equation is studied by means of analytical and numerical techniques. The lower bound of the Hamiltonian permits the construction of sta...
Discrete gap solitons in a diffraction-managed waveguide array
Model coupling nonlinear discrete diffraction optical waveguide array,
2014/12/29
A model including two nonlinear chains with linear and nonlinear couplings between them, and opposite signs of the discrete diffraction inside the chains, is introduced. In the case of the cubic [ χ(3...
Breathers on a background: periodic and quasiperiodic solutions of extended discrete nonlinear wave systems
Discrete nonlinear wave equation the discrete sine Gordon a discrete nonlinear schrodinger equation the periodic oscillation kink
2014/12/29
In this paper we investigate the emergence of time-periodic and time quasiperiodic (sometimes infinitely long-lived and sometimes very long-lived or metastable) solutions of discrete nonlinear wave eq...
Modulational instabilities and domain walls in coupled discrete nonlinear Schrödinger equations
Discrete nonlinear schrodinger equation linear coupling plane wave coupling
2014/12/29
We consider a system of two discrete nonlinear Schrödinger equations, coupled by nonlinear and linear terms. For various physically relevant cases, we derive a modulational instability criterion ...
Parametric and modulational instabilities of the discrete nonlinear Schrödinger equation
The coupling instability discrete nonlinear schrodinger equation condensate dynamics
2014/12/29
We examine the parametric and modulational instabilities arising in a non-autonomous, discrete nonlinear Schrödinger equation. The principal motivation for our study stems from the dynamics of Bo...
Three-Dimensional Solitary Waves and Vortices in a Discrete Nonlinear Schrödinger Lattice
Models three-dimensional space discrete nonlinear schrodinger equation the discrete vortex solitons whirlpool
2014/12/29
In a benchmark dynamical-lattice model in three dimensions, the discrete nonlinear Schrödinger equation, we find discrete vortex solitons with various values of the topological charge S. Stabilit...
Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations
Discrete schrodinger propagator klein Gordon equation form the analysis of decay estimate
2014/12/29
We show decay estimates for the propagator of the discrete Schrödinger and Klein–Gordon equations in the form {{\| {U(t)f} \|}_{{l^\infty}}} \leq C (1+|t|)^{-d/3}{{\| {f} \|}_{{l^1}}} . This impl...
Stability of discrete solitons in nonlinear Schrödinger lattices
Discrete soliton bifurcate discrete nonlinear schrodinger lattice discrete soliton
2014/12/29
We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger (NLS) lattice. The discrete soliton in the anti-continuum limit represents an arb...
Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
Discrete two-dimensional nonlinear schrodinger lattice small vortex grid nodes coupling coupling of discrete vortex
2014/12/29
We study discrete vortices in the two-dimensional nonlinear Schrödinger lattice with small coupling between lattice nodes. The discrete vortices in the anti-continuum limit of zero coupling repre...
Stabilizing the discrete vortex of topological charge S=2
Discrete vortex instability topological charge the lattice model analysis model the linear stability of discrete vortex
2014/12/29
We study the instability of the discrete vortex with topological charge S=2 in a prototypical lattice model and observe its mediation through the central lattice site. Motivated by this finding, we an...
Discrete solitons and vortices on anisotropic lattices
The two-dimensional nonlinear lattice discrete nonlinear schrodinger equation the vortex solitons
2014/12/25
We consider the effects of anisotropy on solitons of various types in two-dimensional nonlinear lattices, using the discrete nonlinear Schrödinger equation as a paradigm model. For fundamental so...
Discrete Klein–Gordon models with static kinks free of the Peierls–Nabarro potential
Gordon type model nonlinear klein discretization static kink lattice the discrete model
2014/12/25
For the nonlinear Klein–Gordon type models, we describe a general method of discretization in which the static kink can be placed anywhere with respect to the lattice. These discrete models are, there...
Motion of discrete solitons assisted by nonlinearity management
Nonlinear coefficient of the discrete nonlinear schrodinger equation the soliton lattice the amplitude
2014/12/25
We demonstrate that time-periodic modulation of the nonlinearity coefficient in the discrete nonlinear Schrödinger equation strongly facilitates creation of traveling solitons in the lattice. We ...