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Motifs emerge from function in model gene regulatory networks

Z. Burda 1, A. Krzywicki 2, O. C. Martin 3, 4, M. Zagorski 1 Proceedings of the National Academy of Sciences 108 (2011) 17263 Gene regulatory networks arise in all living cells, allowing the control of gene expression patterns. The study of their topology has revealed that certain subgraphs of interactions or ‘motifs’ appear at anomalously high frequencies. We ask here whether this phenomenon […]

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Modeling microevolution in a changing environment: The evolving quasispecies and the Diluted Champion Process

Ginestra Bianconi 1, Davide Fichera 2, Silvio Franz 2, Luca Peliti 3 Journal of Statistical Mechanics: Theory and Experiment (2011) P08022 Several pathogens use evolvability as a survival strategy against acquired immunity of the host. Despite their high variability in time, some of them exhibit quite low variability within the population at any given time, a somehow paradoxical behavior often called the evolving

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Melting of a frustration-induced dimer crystal and incommensurability in the J_1-J_2 two-leg ladder

Arthur Lavarélo 1, Guillaume Roux 1, Nicolas Laflorencie 2 Physical Review B 84 (2011) 144407 The phase diagram of an antiferromagnetic ladder with frustrating next-nearest neighbor couplings along the legs is determined using numerical methods (exact diagonalization and density-matrix renormalization group) supplemented by strong-coupling and mean-field analysis. Interestingly, this model displays remarkable features, bridging the physics of the J_1-J_2 chain and

Melting of a frustration-induced dimer crystal and incommensurability in the J_1-J_2 two-leg ladder Lire la suite »

Mean-field behavior of the negative-weight percolation model on random regular graphs

O. Melchert 1, A. K. Hartmann 1, M. Mezard 2 Physical Review E 84 (2011) 041106 We investigate both analytically and numerically the ensemble of minimum-weight loops and paths in the negative-weight percolation model on random graphs with fixed connectivity and bimodal weight distribution. This allows us to study the mean-field behavior of this model. The analytical study is based on

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Long-range steady state density profiles induced by localized drive

Tridib Sadhu 1, Satya N. Majumdar 2, David Mukamel 1 Physical Review E 84 (2011) 051136 We show that the presence of a localized drive in an otherwise diffusive system results in steady-state density and current profiles that decay algebraically to their global average value, away from the drive in two or higher dimensions. An analogy to an electrostatic problem is

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Linearization effect in multifractal analysis: Insights from the Random Energy Model

Florian Angeletti 1, Marc Mézard 2, Eric Bertin 1, Patrice Abry 1 Physica D: Nonlinear Phenomena 240, 16 (2011) 1245-1253 The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of disordered systems, notably from the analysis of the so-called Random Energy Model. Considering a standard

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Large deviations of the maximal eigenvalue of random matrices

Gaëtan Borot 1, Bertrand Eynard 1, Satya N. Majumdar 2, Céline Nadal 2 Journal of Statistical Mechanics: Theory and Experiment (2011) P11024 We present detailed computations of the ‘at least finite’ terms (three dominant orders) of the free energy in a one-cut matrix model with a hard edge a, in beta-ensembles, with any polynomial potential. beta is a positive number, so not restricted

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Interaction regimes for oppositely charged plates with multivalent counterions

Fabien Paillusson 1, Emmanuel Trizac 2 Physical Review E 84 (2011) 011407 Within a mean field treatment of the interaction between two oppositely charged plates in a salt free solution, the distance at which a transition from an attractive to a repulsive regime appears can be computed analytically. The mean field description however breaks down under strong coulombic couplings,

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