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Eric Akkermans 1, 2, 3, Alain Comtet 3, Jean Desbois 3, Gilles Montambaux 2, Christophe Texier 3, 4 Annals of Physics 284 (2000) 10-51 We study the spectral determinant of the Laplacian on finite graphs characterized by their number of vertices V and of bonds B. We present a path integral derivation which leads to two equivalent expressions of the spectral determinant of the Laplacian either in terms […]

Desbois, J. Journal of Physics A : Math. Gen. 33 (2000) L63-L67

Jérôme Houdayer 1, Olivier C. Martin 1 Physical Review Letters 84 (2000) 1057 The problem of the survival of a spin glass phase in the presence of a field has been a challenging one for a long time. To date, all attempts using equilibrium Monte Carlo methods have been unconclusive. In their comment to our paper, Marinari, Parisi and Zuliani

P. Leboeuf 1 Journal de Physique IV Colloque 10 (2000) Pr5-45-52 It is well known that the joint probability density of the eigenvalues of Gaussian ensembles of random matrices may be interpreted as a Coulomb gas. We review these classical results for hermitian and complex random matrices, with special attention devoted to electrostatic analogies. We also discuss

Jens Marklof 1, 2, Zeev Rudnick GAFA Geometric And Functional Analysis 10 (2000) 1554-1578 We study the ergodic properties of quantized ergodic maps of the torus. It is known that these satisfy quantum ergodicity: For almost all eigenstates, the expectation values of quantum observables converge to the classical phase-space average with respect to Liouville measure of the corresponding classical

Ken-Ichiro Imura 1 European Physical Journal B 15 (2000) 155-160 Effects of backward scattering between fractional quantum Hall (FQH) edge modes are studied. Based on the edge-state picture for hierarchical FQH liquids, we discuss the possibility of the transitions between different plateaux of the tunneling conductance $G$. We find a selection rule for the sequence which begins

Brazovskii, S., Kirova, N., Requardt, H., Ya., Nad, Monceau, P., Currat, R., Lorenzo, J.E., Gruebel, G., Vettier, Ch. Physical Review B 61 (2000) 10640-10650

Monceau P. Rideau, D., Requardt, H., Currat, R., Nad, F., Lorenzo, J.E., Brazovskii, S., Kirova, N., Smilgies, D., Grubel, G. Physica B 280 (2000) 317-322

Cecile Monthus 1 European Physical Journal B 13 (2000) 111-130 To study the localization of random heteropolymers at an interface separating two selective solvents within the model of Garel, Huse, Leibler and Orland, Europhys. Lett. {\\bf 8} 9 (1989), we propose an approach based on a disorder-dependent real space renormalization procedure. This approach allows to recover that

Jesper Lykke Jacobsen 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 61 (2000) R6060-R6062 We numerically calculate the exponent for the disorder averaged and fixed-sample decay of the energy-energy correlator in the q-state random-bond Potts model. Our results are in good agreement with a two-loop expansion (cond-mat/9910181) around q=2 recently found from perturbative renormalisation group