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» On the Algebraic Structure of Convergence
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TIT
2010
90views Education» more  TIT 2010»
14 years 6 months ago
Group codes outperform binary-coset codes on nonbinary symmetric memoryless channels
Typical minimum distances and error exponents are analyzed on the 8-PSK Gaussian channel for two capacityachieving code ensembles with different algebraic structure. It is proved t...
Giacomo Como
FOCM
2006
63views more  FOCM 2006»
14 years 12 months ago
On an Isospectral Lie-Poisson System and Its Lie Algebra
In this paper we analyse the matrix differential system X = [N, X2 ], where N is skew-symmetric and X(0) is symmetric. We prove that it is isospectral and that it is endowed with ...
Anthony M. Bloch, Arieh Iserles
COMBINATORICS
2000
82views more  COMBINATORICS 2000»
14 years 11 months ago
When Structures Are Almost Surely Connected
Let An denote the number of objects of some type of "size" n, and let Cn denote the number of these objects which are connected. It is often the case that there is a rel...
Jason P. Bell
PPAM
2005
Springer
15 years 5 months ago
Adapting Linear Algebra Codes to the Memory Hierarchy Using a Hypermatrix Scheme
Abstract. We present the way in which we adapt data and computations to the underlying memory hierarchy by means of a hierarchical data structure known as hypermatrix. The applicat...
José R. Herrero, Juan J. Navarro
VMCAI
2004
Springer
15 years 5 months ago
Boolean Algebra of Shape Analysis Constraints
Shape analysis is a promising technique for statically verifying and extracting properties of programs that manipulate complex data structures. We introduce a new characterization...
Viktor Kuncak, Martin C. Rinard