156 research outputs found
Eigenvalue estimates for the higher order buckling problem
In this paper, we consider lower order eigenvalues of Laplacian operator with
any order in Euclidean domains. By choosing special rectangular coordinates, we
obtain two estimates for lower order eigenvalues.Comment: This article has an erro
On the Capacity of Multilevel NAND Flash Memory Channels
In this paper, we initiate a first information-theoretic study on multilevel
NAND flash memory channels with intercell interference. More specifically, for
a multilevel NAND flash memory channel under mild assumptions, we first prove
that such a channel is indecomposable and it features asymptotic equipartition
property; we then further prove that stationary processes achieve its
information capacity, and consequently, as its order tends to infinity, its
Markov capacity converges to its information capacity; eventually, we establish
that its operational capacity is equal to its information capacity. Our results
suggest that it is highly plausible to apply the ideas and techniques in the
computation of the capacity of finite-state channels, which are relatively
better explored, to that of the capacity of multilevel NAND flash memory
channels.Comment: Submitted to IEEE Transactions on Information Theor
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