We consider a Moran model with recombination in haploid population of size N. At each birth event, probability 1−ρNR the offspring copies one parent’s chromosome, and ρNR she inherits chromosome that is mosaic both parental chromosomes. assume at time 0 individual has her painted different color we study partition asymptotically fixed large population, when look portion such ρ:=limN→∞ρNN 2→∞. T...

The recently proposed Prêt à Voter election scheme uses decryption mixes to achieve anonymity of votes and verifiability of an election while requiring minimal trust in the component of the election system that performs these mixes. However, this scheme still requires trust in several human and machine components; these requirements make the scheme impractical for use in remote voting. To adapt...

Steel slags are the major byproduct from the conversion of iron to steel in the basic oxygen (major type), electric arc and open hearth (minor type) steelmaking processes. Steel recovery from the slag results in a processed aggregate with both positive (wear resistant, skid resistant, rough textured, angular, well graded, stripping resistant) and negative (heavy, expansive) features. Considerab...

We present an upper bound O(n 2) for the mixing time of a simple random walk on upper triangular matrices. We show that this bound is sharp up to a constant, and nd tight bounds on the eigenvalue gap. We conclude by applying our results to indicate that the asymmetric exclusion process on a circle indeed mixes more rapidly than the corresponding symmetric process.