publications

On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions

T. Fonseca 1, Paul Zinn-Justin 1 The Electronic Journal of Combinatorics 15 (2008) R81 We prove the equality of doubly refined enumerations of Alternating Sign Matrices and of Totally Symmetric Self-Complementary Plane Partitions using integral formulae originating from certain solutions of the quantum Knizhnik–Zamolodchikov equation. 1. Laboratoire de Physique Théorique et Hautes Energies (LPTHE), CNRS : UMR7589 – Université Paris VI

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Numerical studies of planar closed random walks

Jean Desbois 1, Stephane Ouvry 1 Journal of Statistical Mechanics (2008) 08004 Lattice numerical simulations for planar closed random walks and their winding sectors are presented. The frontiers of the random walks and of their winding sectors have a Hausdorff dimension $d_H=4/3$. However, when properly defined by taking into account the inner 0-winding sectors, the frontiers of the random

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Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders

Sahand Jamal Rahi 1, Alejandro W. Rodriguez 1, Thorsten Emig 2, 3, Robert L. Jaffe 4, Steven G. Johnson 5, Mehran Kardar 1 Physical Review A: Atomic, Molecular and Optical Physics 77 (2008) 030101 We analyze the Casimir force between two parallel infinite metal cylinders, with nearby metal plates (sidewalls), using complementary methods for mutual confirmation. The attractive force between cylinders is shown to have a nonmonotonic dependence

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New Routes to Solitons in Quasi One-Dimensional Conductors

S. Brazovskii 1 Solid State Sciences 10 (2008) 1786 We collect evidences on existence of microscopic solitons, and their determining role in electronic processes of quasi-1D conductors. The ferroelectric charge ordering gives access to several types of solitons in conductivity and permittivity, and to solitons’ bound pairs in optics – both in insulating and conducting cases of

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Mesoscopic Fluctuations of the Pairing Gap

S. Åberg 1, H. Olofsson 1, P. Leboeuf 2 AIP Conference Proceedings 995 (2008) 173-184 A description of mesoscopic fluctuations of the pairing gap in finite-sized quantum systems based on periodic orbit theory is presented. The size of the fluctuations are found to depend on quite general properties. We distinguish between systems where corresponding classical motion is regular or chaotic, and

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Many-Body Physics and Quantum Chaos

Denis Ullmo 1 Reports on Progress in Physics 71 (2008) 026001 Experimental progresses in the miniaturisation of electronic devices have made routinely available in the laboratory small electronic systems, on the micron or sub-micron scale, which at low temperature are sufficiently well isolated from their environment to be considered as fully coherent. Some of their most important

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