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Excursions of diffusion processes and continued fractions

Alain Comtet 1, 2, Yves Tourigny 3 Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques 47 (2011) 850-874 It is well-known that the excursions of a one-dimensional diffusion process can be studied by considering a certain Riccati equation associated with the process. We show that, in many cases of interest, the Riccati equation can be solved in terms of […]

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Exact mean field inference in asymmetric kinetic Ising systems

M. Mezard 1, J. Sakellariou 1 Journal of statistical mechanics-theory and experiment (2011) L07001 We develop an elementary mean field approach for fully asymmetric kinetic Ising models, which can be applied to a single instance of the problem. In the case of the asymmetric SK model this method gives the exact values of the local magnetizations and the exact

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Environmental versatility promotes modularity in genome-scale metabolic networks

Areejit Samal 1, 2, Andreas Wagner 3, 4, 5, Olivier C. Martin 2, 6 BMC Systems Biology 5 (2011) 135 The ubiquity of modules in biological networks may result from an evolutionary benefit of a modular organization. For instance, modularity may increase the rate of adaptive evolution, because modules can be easily combined into new arrangements that may benefit their carrier. Conversely, modularity may emerge

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Entropy of continuous mixtures and the measure problem

P. Maynar 1, E. Trizac 2 Physical Review Letters 106 (2011) 160603 In its continuous version, the entropy functional measuring the information content of a given probability density may be plagued by a ‘measure’ problem that results from improper weighting of phase space. This issue is addressed considering a generic collision process whereby a large number of particles/agents randomly

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Electromagnetic Casimir Forces of Parabolic Cylinder and Knife-Edge Geometries

Noah Graham 1, Alexander Shpunt 2, Thorsten Emig 3, Sahand Jamal Rahi 2, 4, Robert L. Jaffe 2, Mehran Kardar 2 Physical Review D 83 (2011) 125007 An exact calculation of electromagnetic scattering from a perfectly conducting parabolic cylinder is employed to compute Casimir forces in several configurations. These include interactions between a parabolic cylinder and a plane, two parabolic cylinders, and a parabolic cylinder and an ordinary

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Eigenfunction entropy and spectral compressibility for critical random matrix ensembles

E. Bogomolny 1, O. Giraud 1 Physical Review Letters 106 (2011) 044101 Based on numerical and perturbation series arguments we conjecture that for certain critical random matrix models the information dimension of eigenfunctions D_1 and the spectral compressibility chi are related by the simple equation chi+D_1/d=1, where d is the system dimensionality. 1. Laboratoire de Physique Théorique et Modèles

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Dilution and resonance enhanced repulsion in non-equilibrium fluctuation forces

Giuseppe Bimonte 1, Thorsten Emig 2, Matthias Kruger 3, Mehran Kardar 3 Physical Review A 84 (2011) 042503 In equilibrium, forces induced by fluctuations of the electromagnetic field between electrically polarizable objects (microscopic or macroscopic) in vacuum are always attractive. The force may, however, become repulsive for microscopic particles coupled to thermal baths with different temperatures. We demonstrate that this non-equilibrium repulsion can

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Diffusion with Stochastic Resetting

Martin R. Evans 1, Satya N. Majumdar 2 Physical Review Letters 106 (2011) 160601 We study simple diffusion where a particle stochastically resets to its initial position at a constant rate r. A finite resetting rate leads to a nonequilibrium stationary state with non-Gaussian fluctuations for the particle position. We also show that the mean time to find a

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