搜索结果: 1-6 共查到“理论统计学 symmetry”相关记录6条 . 查询时间(0.107 秒)
Spontaneous symmetry breaking in photonic lattices: Theory and experiment
Symmetry broken double - well waveguide symmetric potential galerkin truncation photonic crystal lattice
2014/12/29
We examine an example of spontaneous symmetry breaking in a double-well waveguide with a symmetric potential. The ground state of the system beyond a critical power becomes asymmetric. The effect is i...
Symmetry breaking in symmetric and asymmetric double-well potentials
Matter waves light beam the nonlinear schrodinger equation nonlinear solution attractive and nonlinear disturbances
2014/12/25
Motivated by recent experimental studies of matter waves and optical beams in double-well potentials, we study the corresponding solutions of the nonlinear Schrödinger equation. Using a Galerkin-...
Symmetry breaking in linearly coupled dynamical lattices
Two-dimensional model the linear coupling lattice weak coupling lattice
2014/12/25
We examine one- and two-dimensional models of linearly coupled lattices of the discrete-nonlinear-Schrödinger type. Analyzing ground states of the system with equal powers (norms) in the two comp...
SYMMETRY-BREAKING BIFURCATION IN NONLINEAR SCHRODINGER/GROSS-PITAEVSKII EQUATIONS
Nonlinear schrodinger mathematical modeling nonlinear optics macroscopic quantum phenomena the number of particles the mixed pattern
2014/12/25
We consider a class of nonlinear Schrödinger/Gross–Pitaeveskii (NLS-GP) equations, i.e., NLS with a linear potential. NLS-GP plays an important role in the mathematical modeling of nonlinear opti...
Two-dimensional paradigm for symmetry breaking: The nonlinear Schroumldinger equation with a four-well potential
Mechanical systems linear geometric properties nonlinear dynamic equations
2014/12/24
We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations of motion are derive...
Extremal Probabilistic Problems and Hotelling's T2 Test Under Symmetry Condition
Probability inequalities extremal probability problems Hotelling’s T2 test monotonelikelihood ratio stochastic monotonicity
2010/4/26
We consider Hotelling’s T2 statistic for an arbitrary d-dimensional sample.
If the sampling is not too deterministic or inhomogeneous, then under zero
means hypothesis, T2 tends to χ2d in distributi...