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Universal Communication over Modulo-additive Channels with an Individual Noise Sequence
Universal Communication Modulo-additive Channels Individual Noise Sequence
2011/1/21
Which communication rates can be attained over an unknown channel where the relation between the input and output can be arbitrary? A channel where the output is any arbitrary (possibly stochastic) fu...
A dichotomy between uniform distributions of the Stern-Brocot and the Farey sequence
Uniform distribution (mod 1), Stern-Brocot sequence, Farey sequence,
2010/12/3
We employ infinite ergodic theory to show that the even Stern-Brocot sequence and the Farey sequence are uniformly distributed mod 1 with respect to certain canonical weightings. As a corollary we der...
The Goodwillie tower and the EHP sequence.