Scientists / Open questions

Giorgio Parisi

Statistical physics; disordered and complex systems

2021 Nobel Prize in Physics

166 questions

Reference-set construction and the journal-metric percentile CDF in the calibrated weighted combination of citation and journal metrics for large-scale research assessment (Anfossi et al., 2016)
The four-dimensional Ising spin glass in a magnetic field: equilibrium overlap distribution, Almeida-Thouless line, and the in-field fluctuation-dissipation relation
Large deviations of the optimal cost in the random-link matching problem: rigorous rate function, the $\alpha=-2$ singularity, and finite-size corrections
Non-polygonal diagrams, the self-consistent saddle point, and finite-size corrections in the random Euclidean matching problem
Thermodynamic-limit structure of the boundary-condition-induced ground-state rearrangement in the three-dimensional Edwards-Anderson Ising spin glass
Quantum efficiency and practical feasibility of multilevel gray-scale optical data storage in uracil–ornithine hexamer photodimerization films
Fate of Parisi–Sourlas supersymmetry in the random-field Ising model at $D=5$ : exponentially small violations, or exact only above a critical dimension $D_{\mathrm{int}}\approx 5.1$ ?
Controlled first-principles computation of glass thermodynamics: corrections to the replica liquid scheme of Mézard and Parisi (1999)
A dynamical theory of the saturated-remanence regime of the Sherrington–Kirkpatrick spin glass at finite temperature
Growth mechanism of cubic boron nitride crystals from the Li₃N–hBN system under high pressure and high temperature
Quenched complexity of the marginal TAP states of the Sherrington–Kirkpatrick spin glass and their role in aging dynamics
Microscopic origin of scale-free correlations in natural starling flocks
Interacting and renormalized completion of Parisi's p-adic functional integrals: real-time path integrals over p-adic trajectories, admissible kinetic operators on p-adic time, evaluation of the amplitude functions a(t) and b(t), and the fate of adelic product formulae
Nonperturbative fate of lattice fermion doubling under chirally symmetric interactions
Quenched TAP complexity of the Sherrington-Kirkpatrick model: the supersymmetry-breaking saddle, the Hessian modulus, and level-wise Legendre relations
Stochastic resonance as the mechanism of the ~100,000-year glacial–interglacial cycles: validation in realistic climate models and against paleoclimate records
Structure of the low-temperature phase of the hierarchical Edwards-Anderson spin glass in a magnetic field and its relation to non-perturbative effects
Scalable ensemble renormalization group for the disordered hierarchical Edwards-Anderson spin glass: finite-depth artifacts and the extraction of the critical exponent $\nu$
Fluctuation spectrum of the broken replica theory in finite dimensions: infrared divergences and the lower critical dimension of replica symmetry breaking in spin glasses
Analytic origin and universality of the two-component oscillatory structure and anomalous long-range decay of correlations in jammed hard-sphere packings
Stochastic stability and the fluctuation-dissipation-ratio/overlap-distribution identity in finite-dimensional aging systems
Equilibrium characterization of the folded phase of the IMP random heteropolymer: genericity of few stable states and low-temperature equilibration

Back to open problems

Reference-set construction and the journal-metric percentile CDF in the calibrated weighted combination of citation and journal metrics for large-scale research assessment (Anfossi et al., 2016)

The four-dimensional Ising spin glass in a magnetic field: equilibrium overlap distribution, Almeida-Thouless line, and the in-field fluctuation-dissipation relation

Large deviations of the optimal cost in the random-link matching problem: rigorous rate function, the α=−2\alpha=-2α=−2 singularity, and finite-size corrections

Non-polygonal diagrams, the self-consistent saddle point, and finite-size corrections in the random Euclidean matching problem

Thermodynamic-limit structure of the boundary-condition-induced ground-state rearrangement in the three-dimensional Edwards-Anderson Ising spin glass

Quantum efficiency and practical feasibility of multilevel gray-scale optical data storage in uracil–ornithine hexamer photodimerization films

Fate of Parisi–Sourlas supersymmetry in the random-field Ising model at D=5D=5D=5: exponentially small violations, or exact only above a critical dimension Dint≈5.1D_{\mathrm{int}}\approx 5.1Dint​≈5.1?

Controlled first-principles computation of glass thermodynamics: corrections to the replica liquid scheme of Mézard and Parisi (1999)

A dynamical theory of the saturated-remanence regime of the Sherrington–Kirkpatrick spin glass at finite temperature

Growth mechanism of cubic boron nitride crystals from the Li₃N–hBN system under high pressure and high temperature

Quenched complexity of the marginal TAP states of the Sherrington–Kirkpatrick spin glass and their role in aging dynamics

Microscopic origin of scale-free correlations in natural starling flocks

Interacting and renormalized completion of Parisi's p-adic functional integrals: real-time path integrals over p-adic trajectories, admissible kinetic operators on p-adic time, evaluation of the amplitude functions a(t) and b(t), and the fate of adelic product formulae

Nonperturbative fate of lattice fermion doubling under chirally symmetric interactions

Quenched TAP complexity of the Sherrington-Kirkpatrick model: the supersymmetry-breaking saddle, the Hessian modulus, and level-wise Legendre relations

Stochastic resonance as the mechanism of the ~100,000-year glacial–interglacial cycles: validation in realistic climate models and against paleoclimate records

Structure of the low-temperature phase of the hierarchical Edwards-Anderson spin glass in a magnetic field and its relation to non-perturbative effects

Scalable ensemble renormalization group for the disordered hierarchical Edwards-Anderson spin glass: finite-depth artifacts and the extraction of the critical exponent ν\nuν

Fluctuation spectrum of the broken replica theory in finite dimensions: infrared divergences and the lower critical dimension of replica symmetry breaking in spin glasses

Analytic origin and universality of the two-component oscillatory structure and anomalous long-range decay of correlations in jammed hard-sphere packings

Stochastic stability and the fluctuation-dissipation-ratio/overlap-distribution identity in finite-dimensional aging systems

Equilibrium characterization of the folded phase of the IMP random heteropolymer: genericity of few stable states and low-temperature equilibration

Large deviations of the optimal cost in the random-link matching problem: rigorous rate function, the $\alpha=-2$ singularity, and finite-size corrections

Fate of Parisi–Sourlas supersymmetry in the random-field Ising model at $D=5$ : exponentially small violations, or exact only above a critical dimension $D_{\mathrm{int}}\approx 5.1$ ?

Scalable ensemble renormalization group for the disordered hierarchical Edwards-Anderson spin glass: finite-depth artifacts and the extraction of the critical exponent $\nu$