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We derive an asymptotic for the rst moment of Hecke L-series associated to canonical qua- dratic characters. This provides another proof and slightly generalizes recent results by Masri and Kim-Masri...
The asymptotic error floor of LDPC ensembles under BP decoding
Binary no memory random elements the noise
2015/8/21
We consider communication over binary memoryless symmetric channels using random elements from irregular low density parity check code (LDPC) ensembles, and belief propagation (BP) decoding. Under the...
Entanglement can increase asymptotic rates of zero-error classical communication over classical channels
asymptotic rates of zero-error classical classical channels
2010/12/15
It is known that the number of di erent classical messages which can be communicated
with a single use of a classical channel with zero probability of decoding error can sometimes
be increased by us...
A Vanishing Theorem and Asymptotic Regularity of Powers of Ideal Sheaves
Regularity powers of ideals vanishing theorem.
2010/11/29
Let I be an ideal sheaf on Pn. In the first part of this paper, we bound the asymptotic regularity of powers of I as ps − 3 regIp ps + e,where e is a constant and s is the s-invariant of I. ...
ASYMPTOTIC ERROR EXPANSION AND DEFECT CORRECTION FOR SOBOLEV ANDVISCOELASTICITY TYPE EQUATIONS
2007/12/12
In this paper we study the higher accuracy methods
$-$ the extrapolation and defect correction for the semidiscrete Galerkin approximations
to the solutions of Sobolev and viscoelasticity type equat...