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An Algorithmic Approach to Constructing Mixed-level Orthogonal and Near-orthogonal Arrays
An Algorithmic Approach Constructing Mixed-level Orthogonal Near-orthogonal Arrays
2015/3/20
An Algorithmic Approach to Constructing Mixed-level Orthogonal and Near-orthogonal Arrays.
Artinian level algebras of codimension 3
Hilbert functions Level O-sequences Artinian Level algebras Reduction numbers Generic initial ideals Graded Betti numbers
2011/9/15
Abstract: In this paper, we continue the study of which $h$-vectors $\H=(1,3,..., h_{d-1}, h_d, h_{d+1})$ can be the Hilbert function of a level algebra by investigating Artinian level algebras of cod...
Annular Bose-Einstein Condensates in the Lowest Landau Level
Superfluidity Gross-Pitaevskii energy Bose-Einstein Condensates Vortices
2010/12/15
A rotating super uid such as a Bose-Einstein condensate is usually described by the Gross-
Pitaevskii (GP) model. An important issue is to determine from this model the properties of the
quantized v...
Level Eulerian Posets
Level Eulerian Posets
2010/12/8
The notion of level posets is introduced. This class of infinite posets has the property that
between every two adjacent ranks the same bipartite graph occurs. When the adjacency matrix is indecompos...
The E8 Lattice and Error Correction in Multi-Level Flash Memory
E8 Lattice Error Correction Multi-Level Flash Memory
2010/12/14
A construction using the E8 lattice and Reed-Solomon codes for error-correction in flash memory is given. Since E8 lattice decoding errors are bursty, a Reed-Solomon code over GF(28) is well suited. T...
On the weight distribution in level one Demazure modules of sl2hat
weight distribution level one Demazure modules of sl2hat
2010/12/7
We compute the covariance of the weight distribution in level 1 Demazure modules of bsl2. The crucial step is to compute the variance of the degree distribution. This also allows us to prove the weak ...