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The aim of ANALCO is to provide a forum for the presentation of original research in the analysis of algorithms and associated combinatorial structures. We invite both papers that study properties of ...
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 ...
CARRIES, GROUP THEORY, AND ADDITIVE COMBINATORICS
Data occurred along the equalization algorithm minimize proportion
2015/7/7
When numbers are added in the usual way carries occur along the route. These carries cause a mess and it is natural to seek ways to minimize them. This paper proves that balanced arithmetic minimizes ...