We have investigated some statistical properties of integrated spectra of galaxies with principal component analysis. The projection of the spectra onto the plane defined by the first two principal components shows that normal galaxies are in a quasi-linear sequence that we call spectral sequence and is closely related to the Hubble morphological sequence. We verify that the spectral sequence i...

Sequence discovery tools play a central role in several fields of computational bi-ology. In the framework of Transcription Factor binding studies, motif finding algorithms ofincreasingly high performances are required to process the big datasets produced by new high-throughput sequencing technologies. Most existing algorithms are computationally demandingand often cannot suppor...

In this chapter we explain the Atiyah-Hirzebruch spectral sequence that relates topological K-theory to singular cohomology and try to motivate the search for a motivic version. In the time since [18] appeared, which concerns motivation for such a motivic spectral sequence, many authors have produced results in this direction. We describe the Bloch-Lichtenbaum spectral sequence [8] for the spec...