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Pointwise characteristic factors for the multidimensional return times theorem
Pointwise characteristic factors multidimensional return times theorem
2011/1/21
This paper is an update and extension of a result the authors first proved in 2003. The goal of this paper is to study factors which are known to be L2-characteristic for certain nonconventional avera...
On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields
The Characteristic Polynomial Frobenius Supersingular Abelian
2010/11/15
In this article, we derive the list of the characteristic polynomials of the Frobenius endomorphism of simple supersingular abelian varieties of dimension $1,~2,~3,~4,~5,~6,~7$ over $\mathbb{F}_q$ whe...
The Witt construction in characteristic one and Quantization
Witt construction Quantization Entropy
2010/12/2
We develop the analogue of the Witt construction in characteristic one. We construct a functor from pairs (R, ) of a perfect semi-ring R of characteristic one and an element > 1 of R to real Banach...