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EVERY COMPACT MANIFOLD CARRIES A COMPLETELY HYPERBOLIC DIFFEOMORPHISM
MANIFOLD CARRIES HYPERBOLIC DIFFEOMORPHISM
2015/9/29
We show that a smooth compact Riemannian manifold of dimension 2 admits
a Bernoulli di eomorphism with nonzero Lyapunov exponents.
Carries, Shuffling, and An Amazing Matrix。
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 ...
On the Number of Carries Occuring in an Addition $\mod 2^k-1$
foundations / boolean functions
2012/3/28
In this paper we study the number of carries occurring while performing an addition modulo $2^k-1$. For a fixed modular integer $t$, it is natural to expect the number of carries occurring when adding...
On the Number of Carries Occuring in an Addition $\mod 2^k-1$
foundations boolean functions
2011/6/9
In this paper we study the number of carries occurring while performing an addition modulo $2^k-1$. For a fixed modular integer $t$, it is natural to expect the number of carries occurring when adding...