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- Leonardo Ermann, Klaus M. Frahm, Dima L. Shepelyansky
- ArXiv
- 2014

In past ten years, modern societies developed enormous communication and social networks. Their classification and information retrieval processing become a formidable task for the society. Due toâ€¦ (More)

- JÃ¶rn A. Zeller, Klaus M. Frahm, Ruth Baron, Robert Stingele, Guenther Deuschl
- Journal of neurology, neurosurgery, andâ€¦
- 2004

OBJECTIVES
Migraine has been identified as an independent risk factor for ischemic stroke. Both neurogenic inflammation and platelet activation have been linked to the pathophysiology of migraine.â€¦ (More)

Abstract. We study the time evolution of ranking and spectral properties of the Google matrix of English Wikipedia hyperlink network during years 2003 2011. The statistical properties of ranking ofâ€¦ (More)

- Leonardo Ermann, Klaus M. Frahm, Dima L. Shepelyansky
- ArXiv
- 2012

We study the properties of eigenvalues and eigenvectors of the Google matrix of the Wikipedia articles hyperlink network and other real networks. With the help of the Arnoldi method we analyze theâ€¦ (More)

We describe a new method of reduced Google matrix which allows to establish direct and hidden links between a subset of nodes of a large directed network. This approach uses parallels with quantumâ€¦ (More)

- Klaus M. Frahm, Robert Fleckinger, Dima L. Shepelyansky
- 2003

We determine the universal law for fidelity decay in quantum computations of complex dynamics in presence of internal static imperfections in a quantum computer. Our approach is based on randomâ€¦ (More)

We study numerically the statistics of PoincarÃ© recurrences for the Chirikov standard map and the separatrix map at parameters with a critical golden invariant curve. The properties of recurrencesâ€¦ (More)

- Klaus M. Frahm, Dima L. Shepelyansky
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

We analyze the statistical properties of PoincarÃ© recurrences of Homo sapiens, mammalian, and other DNA sequences taken from the Ensembl Genome data base with up to 15 billion base pairs. We showâ€¦ (More)

- J A Melsen, Piet W. Brouwer, Klaus M. Frahm, Carlo W. J. Beenakker
- 1996

Random-matrix theory is used to show that the proximity to a superconduc-tor opens a gap in the excitation spectrum of an electron gas connned to a billiard with a chaotic classical dynamics. Inâ€¦ (More)

- Klaus M. Frahm, Bertrand Georgeot, Dima L. Shepelyansky
- ArXiv
- 2011

The PageRank algorithm enables to rank the nodes of a network through a specific eigenvector of the Google matrix, using a damping parameter Î± âˆˆ]0, 1[. Using extensive numerical simulations of largeâ€¦ (More)