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    Scientists / Open questions

    乔治·帕里西

    Giorgio Parisi

    统计物理、无序系统、复杂系统

    2021 年诺贝尔物理学奖

    166 个问题

    1. A microscopic dynamical theory of the glass transition that is exact in the large-dimensional limit and reduces to mode-coupling phenomenology in three dimensions

    2. The freezing transition of random K-SAT at small K and the ultimate algorithmic threshold for near-linear-time solvers

    3. Quantitative completion of the replica theory of the hard-sphere glass transition and amorphous close packing in finite dimension

    4. Ultrametricity of the three-dimensional Edwards-Anderson Ising spin glass: thermodynamic-limit behavior of three-replica overlap observables

    5. Validity of the replica-symmetry-breaking interface calculation and the lower critical dimension Dlc=5/2D_{lc}=5/2 of the Edwards–Anderson Ising spin glass

    6. Link-site overlap coefficient near the lower critical dimension and the q2q^2-dependence of overlap correlations in bulk-perturbed Ising spin-glass ground states

    7. Predictive horizon and extensions of contact-geometry-based inference of single-particle dynamics near the jamming point

    8. S-wave pion-nucleon scattering lengths from unquenched lattice QCD: the open core of the Guagnelli-Marinari-Parisi (1990) finite-volume scattering-length program

    9. Finite-temperature and protocol-space boundaries of the universal microstructure scaling of jammed sphere packings

    10. Divergence behavior of the interfacial dynamic length scales in the supercooled Kob–Andersen liquid near a frozen amorphous wall

    11. Controlled mean-field solution and thermodynamic-limit universality class of the mode-locked glassy random laser

    12. Diagrammatic-statistical control of the large-order behavior of perturbation theory: vertex factorization, subleading constants, nonlinear couplings, and rigorous foundations

    13. Universality and mechanism of full-RSB jamming criticality in non-convex continuous constraint satisfaction problems

    14. Glassy and marginally stable phases of the ferromagnetic random-field XY model on sparse random graphs: RSB structure, the vanishing RSB window at large connectivity, critical behavior, and clock-discretization corrections

    15. Asymptotic nature of the glass transition in the three-dimensional short-range p-spin glass: overlap distribution, critical behavior, and the rare-region mechanism

    16. Analytic determination of the oscillatory-to-chaotic transition in fully connected asymmetric neural networks: closing probabilities and the critical symmetry

    17. Critical fluctuations of the link overlap versus the specific heat in the zero-field Edwards-Anderson spin glass: higher-order confirmation of the exponent ordering and numerical detection of the anomalous logarithmic correction

    18. Avalanche exponents and the breakdown of dimensional reduction in the Bethe-lattice loop expansion of the zero-temperature random-field Ising model

    19. Solving the universal aging equations for critical off-equilibrium dynamics in glassy systems for general parameter exponent λ\lambda

    20. Error-controlled determination of the Kauzmann transition and configurational entropy of binary mixture glasses

    21. Quark confinement in relativistic quantum field theory: the open questions of Parisi's 1975 soluble-model analysis

    22. Viability of the Parisi-Zhang (1983) alternative lattice fermion formulations: induced mass terms, decoupling of radiatively generated operators, and the continuum limit of the second-order and spontaneous-symmetry-breaking schemes

    23. Ultrametricity from stochastic stability in short-range spin glasses: the unresolved finite-dimensional core of the Parisi-Ricci-Tersenghi program

    24. Replica-based first-principles computation of the Hessian spectrum of dense glass-forming liquids and its extension to realistic glass formers

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