Statistics of the Number of Zero Crossings : from Random Polynomials to Diffusion Equation
Schehr, G., Majumdar, S.N. Physical Review Letters99 (2007) 060603
Schehr, G., Majumdar, S.N. Physical Review Letters99 (2007) 060603
Sanjib Sabhapandit 1 Journal of Statistical Mechanics: Theory and Experiment (2007) L05002 Statistical properties of the front of a semi-infinite system of single-file diffusion (one dimensional system where particles cannot pass each other, but in-between collisions each one independently follow diffusive motion) are investigated. Exact as well as asymptotic results are provided for the probability density function
Statistical properties of single-file diffusion front Lire la suite »
M. Mézard 1, M. Tarzia 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 041124 We introduce and study a new optimization problem called Hyper Vertex Cover. This problem is a generalization of the standard vertex cover to hypergraphs: one seeks a configuration of particles with minimal density such that every hyperedge of the hypergraph contains
Statistical Mechanics of the Hyper Vertex Cover Problem Lire la suite »
R. Nath 1, P. Pedri 2, L. M.N.B.F. Santos 1 Physical Review A: Atomic, Molecular and Optical Physics 76 (2007) 013606 We analyze the scattering of bright solitons in dipolar Bose-Einstein condensates placed in unconnected layers. Whereas for short-range interactions unconnected layers are independent, a remarkable consequence of the dipole interaction is the appearance of novel nonlocal interlayer effects. In particular, we
Soliton-soliton scattering in dipolar Bose-Einstein condensates Lire la suite »
E. Bogomolny 1, R. Dubertrand 1, C. Schmit 1 Journal of Physics A: Mathematical and General 40 (2007) 381-395 The nodal lines of random wave functions are investigated. We demonstrate numerically that they are well approximated by the so-called SLE_6 curves which describe the continuum limit of the percolation cluster boundaries. This result gives an additional support to the recent conjecture
SLE description of the nodal lines of random wave functions Lire la suite »
Wolfrom, C., Martin, O.C., Laurent, M., Deschatrette, J. FEBS Letters581 (2007) 125-130
Sanjay Kumar 1, Iwan Jensen 2, Jesper L. Jacobsen 3, Anthony J. Guttmann 2 Physical Review Letters 98 (2007) 128101 A statistical mechanical description of flexible and semi-flexible polymer chains in a poor solvent is developed in the constant force and constant distance ensembles. We predict the existence of many intermediate states at low temperatures stabilized by the force. A unified response to
Role of conformational entropy in force-induced bio-polymer unfolding Lire la suite »
Ciliberti, S., Martin, O.C., Wagner, A. PLOS Computational Biology (2007) 3 (2) : e15
Stefano Ciliberti 1, 2, Marc Mezard 1 European Physical Journal B 57, 2 (2007) 175-180 We use a replica approach to deal with portfolio optimization problems. A given risk measure is minimized using empirical estimates of asset values correlations. We study the phase transition which happens when the time series is too short with respect to the size of the
Risk Minimization through Portfolio Replication Lire la suite »
Bogomolny, E. Progress of Theoretical Physics Supplement 166 (2007) 19-36
Riemann Zeta Function and Quantum Chaos Lire la suite »