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CENTRAL LIMIT THEOREMS FOR FOUR NEW TYPES OF U-DESIGNS
Central limit theorem correlation controlled U-design nested U-design sliced U-design strong orthogonal array based U-design
2016/1/26
Orthogonal array based Latin hypercube designs, also called U-designs, have been popularly adopted in designing a computer exper-iment. Nested U-designs, sliced U-designs, strong orthogonal array base...
Solitary waves in discrete media with four-wave mixing
Vector discrete model nonlinear coupling transverse electric field the transverse magnetic and linear polarization
2014/12/25
In this paper, we examine in detail the principal branches of solutions that arise in vector discrete models with nonlinear intercomponent coupling and four wave mixing. The relevant four branches of ...
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...
Independence of four projective criteria for the weak invariance principle
Weak invariance principle Martingale approximation Projective criterion
2009/6/15
Independence of four projective criteria for the weak invariance principle.
Loop-Erased Walks Intersect Infinitely Often in Four Dimensions
Random Walks Loop-Erased Walks Intersections
2009/5/8
In this short note we show that the paths two independent loop-erased random walks in four dimensions intersect infinitely often. We actually prove the stronger result that the cut-points of the two w...