Negative autoregulation of the Rhizobium meliloti fixK gene is indirect and requires a newly identified regulator, FixT

International audienc

Negative autoregulation of the Rhizobium meliloti fixK gene is indirect and requires a newly identified regulator, FixT

International audienc

Quantum Google algorithm

We review the main findings on the ranking capabilities of the recently proposed QuantumPageRank algorithm (G.D. Paparo et al., Sci. Rep. 2, 444 (2012) and G.D. Paparo et al., Sci. Rep. 3, 2773(2013)) applied to large complex networks. The algorithm has been shown to identify unambiguously theunderlying topology of the network and to be capable of clearly highlighting the structure of secondary hubsof networks. Furthermore, it can resolve the degeneracy in importance of the low-lying part of the list ofrankings. Examples of applications include real-world instances from the WWW, which typically display ascale-free network structure and models of hierarchical networks. The quantum algorithm has been shownto display an increased stability with respect to a variation of the damping parameter, present in theGoogle algorithm, and a more clearly pronounced power-law behaviour in the distribution of importanceamong the nodes, as compared to the classical algorithm

Strong disorder RG approach – a short review of recent developments

The strong disorder RG approach for random systems has been extended in many new directions since our previous review of 2005 [F. Igloi, C. Monthus, Phys. Rep. 412, 277 (2005)]. The aim of the present colloquium paper is thus to give an overview of these various recent developments. In the field of quantum disordered models, recent progress concern infinite disorder fixed points for short-ranged models in higher dimensions d > 1, strong disorder fixed points for long-ranged models, scaling of the entanglement entropy in critical ground-states and after quantum quenches, the RSRG-X procedure to construct the whole set excited stated and the RSRG-t procedure for the unitary dynamics in many-body-localized phases, the Floquet dynamics of periodically driven chains, the dissipative effects induced by the coupling to external baths, and Anderson Localization models. In the field of classical disordered models, new applications include the contact process for epidemic spreading, the strong disorder renormalization procedure for general master equations, the localization properties of random elastic networks, and the synchronization of interacting non-linear dissipative oscillators. Application of the method for aperiodic (or deterministic) disorder is also mentioned