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Combinatorics of balanced carries
Carries Markov chain Foulkes character Eulerian idempotent Determinantal process
2015/7/7
We study the combinatorics of addition using balanced digits, deriving an analog of Holte’s “amazing matrix” for carries in usual addition. The eigenvalues of this matrix for base b balanced addition ...
Nudelman interpolation, parametrizations of lossless functions and balanced realizations
Parametrization Inner matrices Interpolation algorithms
2011/2/21
We investigate the parametrization issue for discrete-time stable allpass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition.