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In 1961, Vickrey posed the problem of finding an analytic solution to a first-price auction with two buyers having valuations uniformly distributed on [v1, v1] and [v2, v2]. To date, only special cases of the problem have been solved. In this paper, we solve this general problem and in addition allow for the possibility of a binding minimum bid. Several interesting examples are presented, inclu...

The main challenge when analyzing ChIP-Seq data is the identification of DNA-protein binding sites by finding genomic regions that are enriched with sequencing reads. We present a new tool called qips especially suited for processing ChIP-Seq data containing broader enriched regions. Our tool certainly finds all enriched regions that are not exceeded by higher significant alternatives.

The binding energy of three identical bosons is estimated by coupled differential equations which generalise the Feshbach–Rubinow approximation. This method turns out to be rather efficient, especially in the limit of vanishing binding.