publications

Phase diagram of the chromatic polynomial on a torus

Jesper Lykke Jacobsen 1, 2, Jesus Salas 3 Nuclear Physics B – Proceedings Supplements 783 (2007) 238-296 We study the zero-temperature partition function of the Potts antiferromagnet (i.e., the chromatic polynomial) on a torus using a transfer-matrix approach. We consider square- and triangular-lattice strips with fixed width L, arbitrary length N, and fully periodic boundary conditions. On the mathematical side, […]

Phase diagram of the chromatic polynomial on a torus Lire la suite »

Persistence of a Rouse polymer chain under transverse shear flow

Somnath Bhattacharya 1, Dibyendu Das 1, Satya N. Majumdar 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 75 (2007) 061122 We consider a single Rouse polymer chain in two dimensions in presence of a transverse shear flow along the $x$ direction and calculate the persistence probability $P_0(t)$ that the $x$ coordinate of a bead in the bulk of the

Persistence of a Rouse polymer chain under transverse shear flow Lire la suite »

Parafermionic states in rotating Bose-Einstein condensates

Nicolas Regnault 1, Thierry Jolicoeur 1, 2 Physical Review B 76 (2007) 235324 We investigate possible parafermionic states in rapidly rotating ultracold bosonic atomic gases at lowest Landau level filling factor nu=k/2. We study how the system size and interactions act upon the overlap between the true ground state and a candidate Read-Rezayi state. We also consider the quasihole states

Parafermionic states in rotating Bose-Einstein condensates Lire la suite »

On the macroion virial contribution to the osmotic pressure in charge-stabilized colloidal suspensions

E. Trizac 1, 2, L. Belloni 3, J. Dobnikar 4, 5, H. H. von Grunberg 4, R. Castaneda-Priego 6 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 75 (2007) 011401 Our interest goes to the different virial contributions to the equation of state of charged colloidal suspensions. Neglect of surface effects in the computation of the colloidal virial term leads to spurious and paradoxical results. This

On the macroion virial contribution to the osmotic pressure in charge-stabilized colloidal suspensions Lire la suite »

On the Inelastic Collapse of a Ball Bouncing on a Randomly Vibrating Platform

Satya N. Majumdar 1, Michael J. Kearney 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 031130 We study analytically the dynamics of a ball bouncing inelastically on a randomly vibrating platform, as a simple toy model of inelastic collapse. Of principal interest are the distributions of the number of flights n_f till the collapse and

On the Inelastic Collapse of a Ball Bouncing on a Randomly Vibrating Platform Lire la suite »

On the ground–state energy of finite Fermi systems

Jérôme Roccia 1, Patricio Leboeuf 1 Physical Review C 76 (2007) 014301 We study the ground–state shell correction energy of a fermionic gas in a mean–field approximation. Considering the particular case of 3D harmonic trapping potentials, we show the rich variety of different behaviors (erratic, regular, supershells) that appear when the number–theoretic properties of the frequency ratios are varied.

On the ground–state energy of finite Fermi systems Lire la suite »

On the Feasibility of Portfolio Optimization under Expected Shortfall

Stéfano Ciliberti 1, Imre Kondor 2, Marc Mézard 1 Quantitative Finance 7 (2007) 389-396 We address the problem of portfolio optimization under the simplest coherent risk measure, i.e. the expected shortfall. As it is well known, one can map this problem into a linear programming setting. For some values of the external parameters, when the available time series is too short,

On the Feasibility of Portfolio Optimization under Expected Shortfall Lire la suite »

On the distribution of surface extrema in several one- and two-dimensional random landscapes

Florent Hivert 1, S. Nechaev 2, 3, G. Oshanin 4, 5, 6, O. Vasilyev 4, 7 Journal of Statistical Physics 126 (2007) 243-279 We study here a standard next-nearest-neighbor (NNN) model of ballistic growth on one- and two-dimensional substrates focusing our analysis on the probability distribution function $P(M,L)$ of the number $M$ of maximal points (i.e., local « peaks ») of growing surfaces. Our analysis is based on two

On the distribution of surface extrema in several one- and two-dimensional random landscapes Lire la suite »

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