Pairs of SAT Assignments and Clustering in Random Boolean Formulae
Daudé, H., Mezard, M., Mora, T., Toninelli, C. Theor. Comp. Sci.393 (2008) 260-279
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Overlap Interfaces in Hierarchical Spin-Glass models
Silvio Franz 1, T Jorg 1, Giorgio Parisi 2 Journal of Statistical Mechanics: Theory and Experiment (2008) 02002 We discuss interfaces in spin glasses. We present new theoretical results and a numerical method to characterize overlap interfaces and the stability of the spin-glass phase in extended disordered systems. We use this definition to characterize the low temperature phase of hierarchical spin-glass
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Orientation dependence of Casimir forces
T. Emig 1, 2, N. Graham 3, R. L. Jaffe 4, M. Kardar 5 Physical Review A: Atomic, Molecular and Optical Physics 79 (2008) 054901 The Casimir interaction between two objects, or between an object and a plane, depends on their relative orientations. We make these angular dependences explicit by considering prolate or oblate spheroids. The variation with orientation is calculated exactly at asymptotically
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Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
Michael R. Peterson 1, Th. Jolicoeur 2, S. Das Sarma 3 Physical Review B 78 (2008) 155308 The fractional quantum Hall effect (FQHE) in the second orbital Landau level at filling factor 5/2 remains enigmatic and motivates our work. We consider the effect of the quasi-2D nature of the experimental FQH system on a number of FQH states (fillings 1/3, 1/5,
Optimal Time to Sell a Stock in Black-Scholes Model: Comment on ‘Thou shall buy and hold’, by A. Shiryaev, Z. Xu and X.Y. Zhou
Satya N. Majumdar 1, Jean-Philippe Bouchaud 2 Quantitative Finance 8 (2008) 753-760 We reconsider the problem of optimal time to sell a stock studied recently by Shiryaev, Xu and Zhou using path integral methods. This method allows us to confirm the results obtained by these authors and extend them to a parameter region inaccessible to the method used by
On the time to reach maximum for a variety of constrained Brownian motions
Majumdar, S.N., Randon-Furling, J., Kearney, M.J., Yor, M. Journal of Physics A41 (2008) 365005
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On the spin-liquid phase of one dimensional spin-1 bosons
F. H. L. Essler 1, G. V. Shlyapnikov 2, 3, A. M. Tsvelik 4 Journal of Statistical Mechanics: Theory and Experiment (2008) 020027 We consider a model of one dimensional spin-1 bosons with repulsive density-density interactions and antiferromagnetic exchange. We show that the low energy effective field theory is given by a spin-charge separated theory of a Tomonaga-Luttinger Hamiltonian and the O(3)
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On the spectrum of the Laplace operator of metric graphs attached at a vertex — Spectral determinant approach
Christophe Texier 1, 2 Journal of Physics A General Physics 41 (2008) 085207 We consider a metric graph $\mathcal{G}$ made of two graphs $\mathcal{G}_1$ and $\mathcal{G}_2$ attached at one point. We derive a formula relating the spectral determinant of the Laplace operator $S_\mathcal{G}(\gamma)=\det(\gamma-\Delta)$ in terms of the spectral determinants of the two subgraphs. The result is generalized to
On the path integral representation for quantum spin models and its application to the quantum cavity method and to Monte Carlo simulations
Krzakala, F., Rosso, A., Smerjian, G., Zamponi, F. Physical Review B78 (2008) 134428
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