2000

Quantum unique ergodicity for parabolic maps

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

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Plateau transitions in fractional quantum Hall liquids

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

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On the localization of random heteropolymers at the interface between two selective solvents

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

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Multiscaling of energy correlations in the random-bond Potts model

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

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Multifractality of entangled random walks and non-uniform hyperbolic spaces

R. Voituriez 1, S. Nechaev 1, 2 Journal of Physics A 33 (2000) 5631-5652 Multifractal properties of the distribution of topological invariants for a model of trajectories randomly entangled with a nonsymmetric lattice of obstacles are investigated. Using the equivalence of the model to random walks on a locally nonsymmetric tree, statistical properties of topological invariants, such as drift and

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