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We study the total branch length L n of the Bolthausen–Sznitman coalescent as the sample size n tends to infinity. Asymptotic expansions for the moments of L n are presented. It is shown that L n /E(L n) converges to 1 in probability and that L n , properly normalized, converges weakly to a stable random variable as n tends to infinity. The results are(More)
In the running time analysis of the algorithm Find and versions of it appear as limiting distributions solutions of some stochastic fixed points equation of the form on the space D of cadlag functions. The distribution of the D-valued process X is invariant by some random linear affine transformation of space and some random time change. We show the(More)
Prototheca zopfii associated with bovine mastitis and human protothecosis exists as two genotypes, of which genotype 1 is considered as non-infectious and genotype 2 as infectious. The mechanism of infection has not yet been described. The present study was aimed to identify genotype 2-specific immunodominant proteins. Prototheca proteins were separated(More)
Let X n be the number of cuts needed to isolate the root in a random recursive tree with n vertices. We provide a weak convergence result for X n. The basic observation for its proof is that the probability distributions of). This distributional recursion was not studied previously in the sense of weak convergence.
Glossina (G.) spp. (Diptera: Glossinidae), known as tsetse flies, are vectors of African trypanosomes that cause sleeping sickness in humans and nagana in domestic livestock. Knowledge on tsetse distribution and accurate species identification help identify potential vector intervention sites. Morphological species identification of tsetse is challenging(More)
Prototheca zopfii: a proposal for two Prototheca zopfii genotypes and description of a novel species, Prototheca blaschkeae sp. nov. In order to clarify the intraspecies taxonomic position of the non-photosynthetic algal species Prototheca zopfii, as well as the aetiology of bovine mammary protothecosis, a selection of P. zopfii strains isolated from(More)
Riverine tsetse (Glossina) as Glossina palpalis gambiensis Vanderplank 1949 and Glossina tachinoides Westwood 1850 are the main vectors for African animal trypanosomoses in Burkina Faso. Vector control has been proven efficient in disease containment, but its success is endangered by the reinvasion of tsetse from neighbouring areas. Thus, identifying relic(More)
Beta-lactamase resistant bacteria and especially ESBL producing Enterobacteriaceae are an increasing problem worldwide. For this reason a major interest in efficient and reliable methods for rapid screening of high sample numbers is recognizable. Therefore, a multiplex real-time PCR was developed to detect the predominant class A beta-lactamase genes(More)
We study the total branch length L n of the Bolthausen-Sznitman co-alescent as the sample size n tends to infinity. Asymptotic expansions for the moments of Ln are presented. It is shown that Ln/E(Ln) converges to 1 in probability and that L n , properly normalized, converges weakly to a stable random variable as n tends to infinity. The results are applied(More)