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

Completing the replica glass-state theory of amorphous packings of binary hard-sphere mixtures: the asymmetric large- $r$ regime, partial contacts at large size ratio, and the microscopic origin of the protocol parameter $\Sigma_j$
Quantitative equilibrium test of the mean-field (random first-order transition) scenario for structural glass formers: overlap statistics, configurational entropy, and the Kauzmann temperature
Observables of the universal continuum tree of states in mean-field spin glasses: moments, typical values of divergent observables, and controlled approximations
Geometric organization of the metastable TAP states in the spherical p-spin model: ultrametricity, threshold coalescence, and the constrained-complexity versus three-replica-potential discrepancy
Exact solution, state definitions, and rigorous foundations of the zero-temperature cavity method for the Bethe lattice spin glass
Thermodynamic-limit structure of the overlap distribution in the three-dimensional Edwards-Anderson spin glass: the small- $x$ moment relations and the continuous part of $P(q)$
The Gardner transition in finite dimensions: genuine phase transition or avoided crossover in three-dimensional amorphous solids?
Complete theoretical description of the dimensional dependence of the Stokes–Einstein relation and its violation in glass-forming hard spheres
Ultrametricity of the four-dimensional Edwards-Anderson spin glass in the thermodynamic limit: finite-size scaling of the constrained-Monte-Carlo test
Extending the full replica symmetry breaking theory of hard-sphere glasses beyond equilibrium infinite dimension: finite-dimensional effects and off-equilibrium dynamics
Directed polymers with smooth finite-correlation-range disorder beyond the quadratic (Larkin) truncation: controlled corrections, the free-energy distribution, and the crossover to asymptotic scaling
Renormalon singularities beyond the leading ultraviolet pole: the higher-dimension operator hierarchy, infrared renormalons and nonlocal operator content in massless asymptotically free theories, and the fate of renormalons in the $4-\epsilon$ expansion
Glassy Potts model: completing the characterization of the finite-dimensional random-permutation Potts glass — critical behavior, replica-symmetry-breaking structure, low-temperature phase, universality, and aging dynamics
Glass-gas coexistence versus coincidence near the Kauzmann temperature in the Kob-Andersen Lennard-Jones binary mixture
Controlled asymptotics, general phase structure, and dynamics of bootstrap percolation in the large-connectivity limit
Positivity properties of $O(a)$ -improved Wilson fermion actions in interacting lattice QCD: spurious poles, sign-changing correlators, and their continuum-limit fate
The q < 1 Rényi regime and finite-size corrections in the phase diagram of bipartite entanglement of random pure states
Origin, protocol dependence, and thermal-transport consequences of the low-frequency nonphononic vibrational spectrum of structural glasses
Unresolved issues in the three-dimensional analysis of collective animal behaviour: biological generality of the STARFLAG structural findings and disentangling geometry from behaviour
The Euclidean matching problem beyond the triangular-correlation level: higher-order connected link correlations, the exact finite-dimensional optimal cost, and extensions to other Euclidean optimization problems
Coulomb-gauge gaugeon correlators as a string-tension and confinement probe in lattice gauge theories with dynamical fermions
Completing the Efetov-formalism loop expansion around the Bethe-Peierls approximation for lattice models: degenerate saddles, one-loop correlations, controlled resummation, and the relation to the Montanari-Rizzo method
Completing and validating the first-principles asymptotic QCD prediction of exclusive processes (elastic form factors, threshold structure functions, two-cluster electron-positron production, fixed-angle scattering): nonperturbative inputs, higher-order coefficient functions, Landshoff suppression, higher-twist onset, and confrontation with data
Quasi-equilibrium (Boltzmann pseudodynamics) theory of glassy aging: closures, overlap-sampling validity, gauge fixing, and quantitative prediction for glassy liquids

返回科研问题

Completing the replica glass-state theory of amorphous packings of binary hard-sphere mixtures: the asymmetric large-rrr regime, partial contacts at large size ratio, and the microscopic origin of the protocol parameter Σj\Sigma_jΣj​

Quantitative equilibrium test of the mean-field (random first-order transition) scenario for structural glass formers: overlap statistics, configurational entropy, and the Kauzmann temperature

Observables of the universal continuum tree of states in mean-field spin glasses: moments, typical values of divergent observables, and controlled approximations

Geometric organization of the metastable TAP states in the spherical p-spin model: ultrametricity, threshold coalescence, and the constrained-complexity versus three-replica-potential discrepancy

Exact solution, state definitions, and rigorous foundations of the zero-temperature cavity method for the Bethe lattice spin glass

Thermodynamic-limit structure of the overlap distribution in the three-dimensional Edwards-Anderson spin glass: the small-xxx moment relations and the continuous part of P(q)P(q)P(q)

The Gardner transition in finite dimensions: genuine phase transition or avoided crossover in three-dimensional amorphous solids?

Complete theoretical description of the dimensional dependence of the Stokes–Einstein relation and its violation in glass-forming hard spheres

Ultrametricity of the four-dimensional Edwards-Anderson spin glass in the thermodynamic limit: finite-size scaling of the constrained-Monte-Carlo test

Extending the full replica symmetry breaking theory of hard-sphere glasses beyond equilibrium infinite dimension: finite-dimensional effects and off-equilibrium dynamics

Directed polymers with smooth finite-correlation-range disorder beyond the quadratic (Larkin) truncation: controlled corrections, the free-energy distribution, and the crossover to asymptotic scaling

Renormalon singularities beyond the leading ultraviolet pole: the higher-dimension operator hierarchy, infrared renormalons and nonlocal operator content in massless asymptotically free theories, and the fate of renormalons in the 4−ϵ4-\epsilon4−ϵ expansion

Glassy Potts model: completing the characterization of the finite-dimensional random-permutation Potts glass — critical behavior, replica-symmetry-breaking structure, low-temperature phase, universality, and aging dynamics

Glass-gas coexistence versus coincidence near the Kauzmann temperature in the Kob-Andersen Lennard-Jones binary mixture

Controlled asymptotics, general phase structure, and dynamics of bootstrap percolation in the large-connectivity limit

Positivity properties of O(a)O(a)O(a)-improved Wilson fermion actions in interacting lattice QCD: spurious poles, sign-changing correlators, and their continuum-limit fate

The q < 1 Rényi regime and finite-size corrections in the phase diagram of bipartite entanglement of random pure states

Origin, protocol dependence, and thermal-transport consequences of the low-frequency nonphononic vibrational spectrum of structural glasses

Unresolved issues in the three-dimensional analysis of collective animal behaviour: biological generality of the STARFLAG structural findings and disentangling geometry from behaviour

The Euclidean matching problem beyond the triangular-correlation level: higher-order connected link correlations, the exact finite-dimensional optimal cost, and extensions to other Euclidean optimization problems

Coulomb-gauge gaugeon correlators as a string-tension and confinement probe in lattice gauge theories with dynamical fermions

Completing the Efetov-formalism loop expansion around the Bethe-Peierls approximation for lattice models: degenerate saddles, one-loop correlations, controlled resummation, and the relation to the Montanari-Rizzo method

Quasi-equilibrium (Boltzmann pseudodynamics) theory of glassy aging: closures, overlap-sampling validity, gauge fixing, and quantitative prediction for glassy liquids

Completing the replica glass-state theory of amorphous packings of binary hard-sphere mixtures: the asymmetric large- $r$ regime, partial contacts at large size ratio, and the microscopic origin of the protocol parameter $\Sigma_j$

Thermodynamic-limit structure of the overlap distribution in the three-dimensional Edwards-Anderson spin glass: the small- $x$ moment relations and the continuous part of $P(q)$

Renormalon singularities beyond the leading ultraviolet pole: the higher-dimension operator hierarchy, infrared renormalons and nonlocal operator content in massless asymptotically free theories, and the fate of renormalons in the $4-\epsilon$ expansion

Positivity properties of $O(a)$ -improved Wilson fermion actions in interacting lattice QCD: spurious poles, sign-changing correlators, and their continuum-limit fate