31 citations · 47 across the 16 of their papers we have counts for
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cs.IT2011★ 2 cited
On Krawtchouk Transforms
Philip Feinsilver, René Schott
Krawtchouk polynomials appear in a variety of contexts, most notably as orthogonal polynomials and in coding theory via the Krawtchouk transform. We present an operator calculus fo…
math.PR2011★ 1 cited
A hierarchical structure of transformation semigroups with applications to probability limit measures
G. Budzban, Ph. Feinsilver
The structure of transformation semigroups on a finite set is analyzed by introducing a hierarchy of functions mapping subsets to subsets. The resulting hierarchy of semigroups has…
math.CO2011★ 2 cited
Representations of sl(2) in the Boolean lattice, and the Hamming and Johnson schemes
Philip Feinsilver
Starting with the zero-square "zeon algebra", the regular representation gives rise to a Boolean lattice representation of sl(2). We detail the su(2) content of the Boolean lattice…