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Counting and hardness-of-finding fixed points in cellular automata on random graphs
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Eight challenges in developing theory of intelligence
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Arrested states in colloidal fluids with competing interactions: A static replica study
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Typical and atypical solutions in nonconvex neural networks with discrete and continuous weights
Quenched complexity of equilibria for asymmetric generalized Lotka–Volterra equations
Valentina Ros, Felix Roy, Giulio Biroli and Guy Bunin Journal of Physics A: Mathematical and Theoretical 56(30) 305003 (2023) https://doi.org/10.1088/1751-8121/ace00f
A thermodynamic framework for the additive manufacturing of crystallizing polymers. Part I: A theory that accounts for phase change, shrinkage, warpage and residual stress
Introduction to the dynamics of disordered systems: Equilibrium and gradient descent
Giampaolo Folena, Alessandro Manacorda and Francesco Zamponi Physica A: Statistical Mechanics and its Applications 631 128152 (2023) https://doi.org/10.1016/j.physa.2022.128152
Surfing on minima of isostatic landscapes: avalanches and unjamming transition
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Fluctuation distributions of energy minima in complex landscapes
Benjamin Aubin, Bruno Loureiro, Antoine Maillard, Florent Krzakala and Lenka Zdeborova IEEE Transactions on Information Theory 67(2) 1156 (2021) https://doi.org/10.1109/TIT.2020.3033985
Mean field analysis of reverse annealing for code-division multiple-access multiuser detection
Gradient descent dynamics in the mixed p-spin spherical model: finite-size simulations and comparison with mean-field integration
Giampaolo Folena, Silvio Franz and Federico Ricci-Tersenghi Journal of Statistical Mechanics: Theory and Experiment 2021(3) 033302 (2021) https://doi.org/10.1088/1742-5468/abe29f
One step replica symmetry breaking and overlaps between two temperatures
Shaping the learning landscape in neural networks around wide flat minima
Carlo Baldassi, Fabrizio Pittorino and Riccardo Zecchina Proceedings of the National Academy of Sciences 117(1) 161 (2020) https://doi.org/10.1073/pnas.1908636117
Fundamental limits of detection in the spiked Wigner model
Wide flat minima and optimal generalization in classifying high-dimensional Gaussian mixtures
Carlo Baldassi, Enrico M Malatesta, Matteo Negri and Riccardo Zecchina Journal of Statistical Mechanics: Theory and Experiment 2020(12) 124012 (2020) https://doi.org/10.1088/1742-5468/abcd31
Distribution of rare saddles in the p -spin energy landscape
Out-of-equilibrium dynamical equations of infinite-dimensional particle systems I. The isotropic case
Elisabeth Agoritsas, Thibaud Maimbourg and Francesco Zamponi Journal of Physics A: Mathematical and Theoretical 52(14) 144002 (2019) https://doi.org/10.1088/1751-8121/ab099d
Time evolution and thermodynamics for a nonequilibrium system in phase-space
Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. II. The anisotropic case under shear strain
Elisabeth Agoritsas, Thibaud Maimbourg and Francesco Zamponi Journal of Physics A: Mathematical and Theoretical 52(33) 334001 (2019) https://doi.org/10.1088/1751-8121/ab2b68
Activated dynamics of the Ising p-spin disordered model with finite number of variables
Calorimetric glass transition in a mean-field theory approach
Manuel Sebastian Mariani, Giorgio Parisi and Corrado Rainone Proceedings of the National Academy of Sciences 112(8) 2361 (2015) https://doi.org/10.1073/pnas.1500125112
Following the Evolution of Hard Sphere Glasses in Infinite Dimensions under External Perturbations: Compression and Shear Strain
Exact theory of dense amorphous hard spheres in high dimension. III. The full replica symmetry breaking solution
Patrick Charbonneau, Jorge Kurchan, Giorgio Parisi, Pierfrancesco Urbani and Francesco Zamponi Journal of Statistical Mechanics: Theory and Experiment 2014(10) P10009 (2014) https://doi.org/10.1088/1742-5468/2014/10/P10009
Critical Dynamical Heterogeneities Close to Continuous Second-Order Glass Transitions
Static replica approach to critical correlations in glassy systems
Silvio Franz, Hugo Jacquin, Giorgio Parisi, Pierfrancesco Urbani and Francesco Zamponi The Journal of Chemical Physics 138(12) (2013) https://doi.org/10.1063/1.4776213