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JSYML
2008
108views more  JSYML 2008»
13 years 9 months ago
Randomness, lowness and degrees
We say that A LR B if every B-random number is A-random. Intuitively this means that if oracle A can identify some patterns on some real , oracle B can also find patterns on . In o...
George Barmpalias, Andrew E. M. Lewis, Mariya Ivan...
ETT
2000
106views Education» more  ETT 2000»
13 years 9 months ago
On Union Bounds for Random Serially Concatenated Turbo Codes with Maximum Likelihood Decoding
The input-output weight enumeration (distribution) function of the ensemble of serially concatenated turbo codes is derived, where the ensemble is generated by a uniform choice ov...
Igal Sason, Shlomo Shamai
STACS
2001
Springer
14 years 2 months ago
Randomness, Computability, and Density
We study effectively given positive reals (more specifically, computably enumerable reals) under a measure of relative randomness introduced by Solovay [32] and studied by Calud...
Rodney G. Downey, Denis R. Hirschfeldt, Andr&eacut...
JCT
2010
144views more  JCT 2010»
13 years 8 months ago
Combinatorics of generalized q-Euler numbers
Abstract. New enumerating functions for the Euler numbers are considered. Several of the relevant generating functions appear in connection to entries in Ramanujan’s Lost Noteboo...
Tim Huber, Ae Ja Yee
STOC
2003
ACM
95views Algorithms» more  STOC 2003»
14 years 10 months ago
Random knapsack in expected polynomial time
In this paper, we present the first average-case analysis proving an expected polynomial running time for an exact algorithm for the 0/1 knapsack problem. In particular, we prove,...
René Beier, Berthold Vöcking