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...
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...
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...
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...
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,...