2011

Phenotypic robustness can increase phenotypic variability after non-genetic perturbations in gene regulatory circuits

Carlos Espinosa-Soto 1, 2, Olivier C. Martin 3, 4, Andreas Wagner 1, 2, 5 Journal of Evolutionary Biology 24 (2011) 1284-1297 Non-genetic perturbations, such as environmental change or developmental noise, can induce novel phenotypes. If an induced phenotype confers a fitness advantage, selection may promote its genetic stabilization. Non-genetic perturbations can thus initiate evolutionary innovation. Genetic variation that is not usually phenotypically visible may play […]

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Phase transitions in the distribution of the Andreev conductance of superconductor-metal junctions with many transverse modes

Kedar Damle 1, Satya N. Majumdar 2, Vikram Tripathi 1, Pierpaolo Vivo 2 Physical Review Letters 107 (2011) 177206 We compute analytically the full distribution of Andreev conductance $G_{\mathrm{NS}}$ of a metal-superconductor interface with a large number $N_c$ of transverse modes, using a random matrix approach. The probability distribution $\mathcal{P}(G_{\mathrm{NS}},N_c)$ in the limit of large $N_c$ displays a Gaussian behavior near the average

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Phase transition in the detection of modules in sparse networks

Aurelien Decelle 1, Florent Krzakala 2, Cristopher Moore 3, 4, Lenka Zdeborová 5 Physical Review Letters 107 (2011) 065701 We present an asymptotically exact analysis of the problem of detecting communities in sparse random networks. Our results are also applicable to detection of functional modules, partitions, and colorings in noisy planted models. Using a cavity method analysis, we unveil a phase transition from a

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Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator – Luttinger liquid – Bose glass

François Crépin 1, Nicolas Laflorencie 1, Guillaume Roux 2, Pascal SIMON 1 Physical Review B 84 (2011) 054517 One dimensional free-fermions and hard-core bosons are often considered to be equivalent. Indeed, when restricted to nearest-neighbor hopping on a chain the particles cannot exchange themselves, and therefore hardly experience their own statistics. Apart from the off-diagonal correlations which depends on the so-called Jordan-Wigner string,

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Perturbation Theory for Fractional Brownian Motion in Presence of Absorbing Boundaries

Kay Jörg Wiese 1, Satya N. Majumdar 2, Alberto Rosso 2 Physical Review E 83 (2011) 061141 Fractional Brownian motion is a Gaussian process x(t) with zero mean and two-time correlations ~ t^{2H} + s^{2H} – |t-s|^{2H}, where H, with 0 0 (near the absorbing boundary), while R(y) ~ y^gamma exp(-y^2/2) as y -> oo, with phi = 1 – 4

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Perturbation approach to multifractal dimensions for certain critical random matrix ensembles

E. Bogomolny 1, O. Giraud 1 Physical Review E 84 (2011) 036212 Fractal dimensions of eigenfunctions for various critical random matrix ensembles are investigated in perturbation series in the regimes of strong and weak multifractality. In both regimes we obtain expressions similar to those of the critical banded random matrix ensemble extensively discussed in the literature. For certain ensembles,

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Parametric Excitation of a 1D Gas in Integrable and Nonintegrable Cases

M. Colomé-Tatché 1, D. S. Petrov 2, 3 Physical Review Letters 106 (2011) 125302 We study the response of a highly excited 1D gas with pointlike interactions to a periodic modulation of the coupling constant. We calculate the corresponding dynamic structure factors and show that their low-frequency behavior differs dramatically for integrable and nonintegrable models. Nonintegrable systems are sensitive to

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On the solution of a `solvable’ model of an ideal glass of hard spheres displaying a jamming transition

Marc Mezard 1, Giorgio Parisi 2, Marco Tarzia 3, Francesco Zamponi 4 Journal of statistical mechanics-theory and experiment (2011) P03002 We discuss the analytical solution through the cavity method of a mean field model that displays at the same time an ideal glass transition and a set of jamming points. We establish the equations describing this system, and we discuss some approximate analytical

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