Scientists / Open questions

Giorgio Parisi

Statistical physics; disordered and complex systems

2021 Nobel Prize in Physics

166 questions

Small intestinal bacterial overgrowth and irritable bowel syndrome: resolving the causal relationship, the diagnostic-method dependence, and the long-term consequences of antibiotic therapy
Universality of the free-energy small-deviation distribution in full replica-symmetry-breaking mean-field spin glasses
The adelic five-point string amplitude: exact form and admissible regularization of the product over all places
Controlling systematic errors and extending the applicability of the off-equilibrium finite-size method for critical behavior analyses
Consolidating the ensemble renormalization group: validity for spin glasses, extension beyond hierarchical lattices, and the random-field hierarchical model at $\rho=3/2$
Cobalt dendrite emitters for field ionization/field desorption mass spectrometry: unresolved questions on activation and degradation mechanisms, quantitative benchmarking, and predictive growth control (Bursey et al., 1976)
The domain of validity of the static determination of the dynamical exponent parameter in glassy systems ( $\lambda = w_2/w_1 = \omega_2/\omega_1$ ) beyond mean field
Open quantitative problems for k-core percolation on the four-dimensional hypercubic lattice: surface scaling, nucleation kinetics, and the k=3 universality class
Controlled stochastic imaginary-time projection for few-fermion ground-state energies: taming the exponential variance growth
Quantitative verification of the energy-landscape barrier mechanism for super-Arrhenius relaxation below the threshold temperature in fragile glass-formers
Autonomous confusion-gated learning in asymmetric neural networks: the unfinished verification of Parisi's 1986 self-organizing memory
Physical realization of the Parisi spin-glass order parameter q(x): pure-state decompositions of the Gibbs measure in short-range spin glasses and non-random glass formers
Rigorous foundations of the survey-propagation equations in random constraint satisfiability problems (Parisi's conjectures)
Nature of the low-temperature phase and the lower critical dimension of the three-dimensional Edwards-Anderson Ising spin glass
Divergence law of the equilibration time of a weakly anharmonic Hamiltonian oscillator chain as the anharmonicity tends to zero
Theoretical determination of the Kardar–Parisi–Zhang universality class above one dimension: critical exponents, with the (2+1)-dimensional class as the unsolved core
Can the idiotypic immune network maintain immunological memory as distributed attractor-based memory? The open program beyond Parisi's binary network model
The rare-sample-dominated left tail of the disorder-averaged overlap distribution at the de Almeida-Thouless critical line of a mean-field spin glass in a field
Non-perturbative definition of Green's functions from the non-Borel-summable perturbation series of non-asymptotically-free quantum field theories (the ultraviolet renormalon problem)
Analytic theory of the quenched overlap distribution and inherent-structure energy of the Sherrington-Kirkpatrick spin glass (statistics of the minima reached by zero-temperature quenching of equilibrium configurations)
Tight determination of the positron–molecular-nitrogen scattering length and Bethe moment for a decisive sum-rule test of positron–N2 scattering theory
Near-contact structure and low-frequency vibrations of randomly pinned jammed solids: marginal stability versus the geometric pinning length
Thermodynamic glass transition and asymptotic generalized fluctuation–dissipation relations in binary glass formers
Refinements of the 1984 spin-orbit weak-localization analysis of non-scaling conductance in Si inversion layers: separate scattering times, dephasing temperature dependence, anisotropic spin-orbit, and the crossover to strong localization (Markiewicz, J. Phys. C 17, L23)

Back to open problems

Small intestinal bacterial overgrowth and irritable bowel syndrome: resolving the causal relationship, the diagnostic-method dependence, and the long-term consequences of antibiotic therapy

Universality of the free-energy small-deviation distribution in full replica-symmetry-breaking mean-field spin glasses

The adelic five-point string amplitude: exact form and admissible regularization of the product over all places

Controlling systematic errors and extending the applicability of the off-equilibrium finite-size method for critical behavior analyses

Consolidating the ensemble renormalization group: validity for spin glasses, extension beyond hierarchical lattices, and the random-field hierarchical model at ρ=3/2\rho=3/2ρ=3/2

Cobalt dendrite emitters for field ionization/field desorption mass spectrometry: unresolved questions on activation and degradation mechanisms, quantitative benchmarking, and predictive growth control (Bursey et al., 1976)

The domain of validity of the static determination of the dynamical exponent parameter in glassy systems (λ=w2/w1=ω2/ω1\lambda = w_2/w_1 = \omega_2/\omega_1λ=w2​/w1​=ω2​/ω1​) beyond mean field

Open quantitative problems for k-core percolation on the four-dimensional hypercubic lattice: surface scaling, nucleation kinetics, and the k=3 universality class

Controlled stochastic imaginary-time projection for few-fermion ground-state energies: taming the exponential variance growth

Quantitative verification of the energy-landscape barrier mechanism for super-Arrhenius relaxation below the threshold temperature in fragile glass-formers

Autonomous confusion-gated learning in asymmetric neural networks: the unfinished verification of Parisi's 1986 self-organizing memory

Physical realization of the Parisi spin-glass order parameter q(x): pure-state decompositions of the Gibbs measure in short-range spin glasses and non-random glass formers

Rigorous foundations of the survey-propagation equations in random constraint satisfiability problems (Parisi's conjectures)

Nature of the low-temperature phase and the lower critical dimension of the three-dimensional Edwards-Anderson Ising spin glass

Divergence law of the equilibration time of a weakly anharmonic Hamiltonian oscillator chain as the anharmonicity tends to zero

Theoretical determination of the Kardar–Parisi–Zhang universality class above one dimension: critical exponents, with the (2+1)-dimensional class as the unsolved core

Can the idiotypic immune network maintain immunological memory as distributed attractor-based memory? The open program beyond Parisi's binary network model

The rare-sample-dominated left tail of the disorder-averaged overlap distribution at the de Almeida-Thouless critical line of a mean-field spin glass in a field

Non-perturbative definition of Green's functions from the non-Borel-summable perturbation series of non-asymptotically-free quantum field theories (the ultraviolet renormalon problem)

Analytic theory of the quenched overlap distribution and inherent-structure energy of the Sherrington-Kirkpatrick spin glass (statistics of the minima reached by zero-temperature quenching of equilibrium configurations)

Tight determination of the positron–molecular-nitrogen scattering length and Bethe moment for a decisive sum-rule test of positron–N2 scattering theory

Near-contact structure and low-frequency vibrations of randomly pinned jammed solids: marginal stability versus the geometric pinning length

Thermodynamic glass transition and asymptotic generalized fluctuation–dissipation relations in binary glass formers

Refinements of the 1984 spin-orbit weak-localization analysis of non-scaling conductance in Si inversion layers: separate scattering times, dephasing temperature dependence, anisotropic spin-orbit, and the crossover to strong localization (Markiewicz, J. Phys. C 17, L23)

Consolidating the ensemble renormalization group: validity for spin glasses, extension beyond hierarchical lattices, and the random-field hierarchical model at $\rho=3/2$

The domain of validity of the static determination of the dynamical exponent parameter in glassy systems ( $\lambda = w_2/w_1 = \omega_2/\omega_1$ ) beyond mean field