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The noncommutative replica approach

Physics – Condensed Matter – Disordered Systems and Neural Networks
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The number of guards needed by a museum: A phase transition in vertex covering of random graphs

Physics – Condensed Matter – Disordered Systems and Neural Networks
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The number of matchings in random graphs

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The number of metastable states in the generalized random orthogonal model

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The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory

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The onset of synchronization in large networks of coupled oscillators

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The ordered phase of the one-dimensional Ising spin glass with long-range interactions

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The ordering of XY spin glasses

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The ordering temperature and critical exponents of the binomial Ising spin glass in dimension three

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The Origin of a Repose Angle: Kinetics of Rearrangements for Granular Materials

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The origin of fat tailed distributions in financial time series

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The origin of power-law distributions in deterministic walks: the influence of landscape geometry

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The Origin of Power-Law Emergent Scaling in Large Binary Networks

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The Origin of the Boson Peak and the Thermal Conductivity Plateau in Low Temperature Glasses

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The Origin of the Decoupling of Oxygen and Silicon Dynamics in Liquid Silica as Expressed by its Potential Energy Landscape

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The out of equilibrium dynamics of the Sherrington-Kirkpatrick model

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The overlap parameter across an inverse first order phase transition in a 3D spin-glass

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The p-spin spherical spin glass model

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The Parisi formula completed

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The path-coalescence transition and its applications

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