We study a method of seed-based lossless filtration for approximate string matching and related applications. The method is based on a simultaneous use of several spaced seeds rather than a single seed as studied by Burkhardt and Karkkainen [1]. We present algorithms to compute several important parameters of seed families, study their combinatorial properties, and describe several techniques t...

Polyspatha oligospatha Faden, the third species in a small African endemic genus of Commelinaceae, is described. It is widespread but has been overlooked because of its small stature and resemblance to small plants of Polyspatha paniculata. It differs from both Polyspatha paniculata and Polyspatha hirsuta, the two other species, by its leaf pubescence, fewer, more widely spaced and usually pate...

MOTIVATION The explosion of next-generation sequencing data has spawned the design of new algorithms and software tools to provide efficient mapping for different read lengths and sequencing technologies. In particular, ABI's sequencer (SOLiD system) poses a big computational challenge with its capacity to produce very large amounts of data, and its unique strategy of encoding sequence data int...

MOTIVATION The next generation sequencing technologies are generating billions of short reads daily. Resequencing and personalized medicine need much faster software to map these deep sequencing reads to a reference genome, to identify SNPs or rare transcripts. RESULTS We present a framework for how full sensitivity mapping can be done in the most efficient way, via spaced seeds. Using the fr...

This paper presents methods for analyzing and manipulating unevenly spaced time series without a transformation to equally spaced data. Processing and analyzing such data in its unaltered form avoids the biases and information loss caused by resampling. Care is taken to develop a framework consistent with a traditional analysis of equally spaced data, as in Brockwell and Davis (1991), Hamilton ...

A significant volume of research demonstrates that out-of-school learning activities enhance student development in terms of cognitive, affective and social outcomes. However, there is also evidence that the opportunity to engage in these activities has been severely reduced in recent years. This paper explores the extent to which the provision of such opportunities is unevenly distributed— spa...

Talk 1 (18.10.2017 – Gesina Schwalbe): Overview of some classical results. Recall the classical theorems of Freudenthal and Hurewicz and some elementary calculations of homotopy groups of spheres. Recall the definition of the stable homotopy groups of spheres and explain the ring structure. Show that the Hopf maps are stably essential, i.e. not stably null-homotopic, using Steenrod operations. ...

We provide a nonparametric method for the computation of instantaneous multivariate volatility for continuous semi-martingales, which is based on Fourier analysis. The co-volatility is reconstructed as a stochastic function of time by establishing a connection between the Fourier transform of the prices process and the Fourier transform of the co-volatility process. A nonparametric estimator is...