Giorgio Parisi - Academia.edu (original) (raw)

Papers by Giorgio Parisi

Research paper thumbnail of The role of the Becchi–Rouet–Stora–Tyutin supersymmetry in the calculation of the complexity for the Sherrington–Kirkpatrick model

Journal of Physics A: Mathematical and General, 2003

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Research paper thumbnail of Numerical study of a short-range p-spin glass model in three dimensions

In this work we study numerically a short range p-spin glass model in three dimensions. The behav... more In this work we study numerically a short range p-spin glass model in three dimensions. The behaviour of the model appears to be remarkably different from mean field predictions. In fact it shares some features typical of models with full replica-symmetry breaking (FRSB). Nevertheless, we believe that the transition that we study is intrinsically different from the FRSB and basically due to non-perturbative contributions. We study both the statics and the dynamics of the system which seem to confirm our conjectures.

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Research paper thumbnail of Hausdorff dimensions and gauge theories

Physics Letters B, 1979

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Research paper thumbnail of The Heisenberg spin glass model on GPU: myths and actual facts

Computing Research Repository, 2010

We describe different implementations of the 3D Heisenberg spin glass model for Graphics Processi... more We describe different implementations of the 3D Heisenberg spin glass model for Graphics Processing Units (GPU). The results show that the {\em fast} shared memory gives better performance with respect to the {\em slow} global memory only if a multi-hit technique is used.

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Research paper thumbnail of The de Ahneida-Thouless line in the four dimensional Ising spin glass

Journal de Physique I, 1993

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Research paper thumbnail of Slow non-equilibrium dynamics

Lecture Notes in Physics

Many systems (among them glasses, rubber, spin glasses...) show at low temperature a very slow ap... more Many systems (among them glasses, rubber, spin glasses...) show at low temperature a very slow approach to equilibrium. A very interesting phenomenon is the following: if the temperature is decreased fast enough, the system goes into an amorphous state that has practically infinite mean life; moreover under very slow cooling some of these systems go into an ordered crystal phase. The crystal phase does not exist in general, it exists only if the parameters of the interactions among the atoms are intentionally chosen in such way this phase is energetically ...

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Research paper thumbnail of Dilute one-dimensional spin glasses with power law decaying interactions

Physical Review Letters, 2008

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Research paper thumbnail of The string tension in gauge theories. A suggestion for a new measurement method

Physics Letters B, 1993

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Research paper thumbnail of Comment on “Evidence for the Droplet Picture of Spin Glasses”

Physical Review Letters, 1999

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Research paper thumbnail of Critical off-equilibrium dynamics in glassy systems

Physical Review E, 2013

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Research paper thumbnail of Relevant elements, magnetization and dynamical properties in Kauffman networks: A numerical study

Physica D: Nonlinear Phenomena, 1998

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Research paper thumbnail of A numerical study of the overlap probability distribution and its sample-to-sample fluctuations in a mean-field model

Philosophical Magazine, 2012

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Research paper thumbnail of On the formal equivalence of the TAP and thermodynamic methods in the SK model

Journal of Physics A: Mathematical and General, 2003

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Research paper thumbnail of Generalization of Rules by Neural Nets

Europhysics Letters (EPL), 1992

Abstract.-We investigate the generalization abilities of various types of rules for both feedforw... more Abstract.-We investigate the generalization abilities of various types of rules for both feedforward and symmetric Hopfield neural network, The networks of the size of 24 neurons are taught to perform the rule on a small set of examples using simulated annealing optimization. Results show a rather small dependence of the type of network, but a significant difference in generalizing different rules is found. This suggests the possibility of defining the complexity of a rule to a certain extent independently of physical ...

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Research paper thumbnail of The STARFLAG handbook on collective animal behaviour: 1. Empirical methods

Animal Behaviour, 2008

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Research paper thumbnail of On the< i> p</i>-adic five-point function

Physics Letters B, Mar 24, 1988

Volume 203, number 1,2 PHYSICS LETTERS B 24 March 1988 ON THE p-ADIC FIVE-POINT FUNCTION Enzo MAR... more Volume 203, number 1,2 PHYSICS LETTERS B 24 March 1988 ON THE p-ADIC FIVE-POINT FUNCTION Enzo MARINARI and Giorgio PARISI Dipartimento di Fisica, 11 Universitdi Roma, "Tor Vergata", 1-00173 Rome, Italy and INFN, Sezione di Roma, Rome, Italy Received 23 December 1987 The Koba-Nielsen amplitude five-point dual function is computed integrating over the p-adic field. Contrary to what happens for the four-point function the infinite product of all the p-adic functions and the usual five-point function is not a constant. There has been ...

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Research paper thumbnail of Comment on" Numerical Study on Aging Dynamics in the 3D Ising Spin Glass Model

Arxiv preprint cond-mat/9904321

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Research paper thumbnail of Zero-Temperature Responses of a 3D Spin Glass in a Magnetic Field

Physical Review Letters, 2001

We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test f... more We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test for a spin glass ordering. We find that the spin glass susceptibility is anomalously large on the lattice sizes we can reach. Our ...

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Research paper thumbnail of On the Four-Dimensional Diluted Ising Model

In this letter we show strong numerical evidence that the four dimensional Diluted Ising Model fo... more In this letter we show strong numerical evidence that the four dimensional Diluted Ising Model for a large dilution is not described by the Mean Field exponents. These results suggest the existence of a new fixed point with non-gaussian exponents.

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Research paper thumbnail of The ideal glass transition of Hard Spheres

We use the replica method to study the ideal glass transition of a liquid of identical Hard Spher... more We use the replica method to study the ideal glass transition of a liquid of identical Hard Spheres. We obtain estimates of the configurational entropy in the liquid phase, of the Kauzmann packing fraction, in the range 0.58--0.62, and of the random close packing density, in the range 0.64--0.67, depending on the approximation we use for the equation of state of the liquid. We also compute the pair correlation function in the glassy states (i.e., dense amorphous packings) and we find that the mean coordination number at random close packing is equal to 6. All these results compare well with numerical simulations and with other existing theories.

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Research paper thumbnail of The role of the Becchi–Rouet–Stora–Tyutin supersymmetry in the calculation of the complexity for the Sherrington–Kirkpatrick model

Journal of Physics A: Mathematical and General, 2003

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Numerical study of a short-range p-spin glass model in three dimensions

In this work we study numerically a short range p-spin glass model in three dimensions. The behav... more In this work we study numerically a short range p-spin glass model in three dimensions. The behaviour of the model appears to be remarkably different from mean field predictions. In fact it shares some features typical of models with full replica-symmetry breaking (FRSB). Nevertheless, we believe that the transition that we study is intrinsically different from the FRSB and basically due to non-perturbative contributions. We study both the statics and the dynamics of the system which seem to confirm our conjectures.

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Hausdorff dimensions and gauge theories

Physics Letters B, 1979

Bookmarks Related papers MentionsView impact

Research paper thumbnail of The Heisenberg spin glass model on GPU: myths and actual facts

Computing Research Repository, 2010

We describe different implementations of the 3D Heisenberg spin glass model for Graphics Processi... more We describe different implementations of the 3D Heisenberg spin glass model for Graphics Processing Units (GPU). The results show that the {\em fast} shared memory gives better performance with respect to the {\em slow} global memory only if a multi-hit technique is used.

Bookmarks Related papers MentionsView impact

Research paper thumbnail of The de Ahneida-Thouless line in the four dimensional Ising spin glass

Journal de Physique I, 1993

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Slow non-equilibrium dynamics

Lecture Notes in Physics

Many systems (among them glasses, rubber, spin glasses...) show at low temperature a very slow ap... more Many systems (among them glasses, rubber, spin glasses...) show at low temperature a very slow approach to equilibrium. A very interesting phenomenon is the following: if the temperature is decreased fast enough, the system goes into an amorphous state that has practically infinite mean life; moreover under very slow cooling some of these systems go into an ordered crystal phase. The crystal phase does not exist in general, it exists only if the parameters of the interactions among the atoms are intentionally chosen in such way this phase is energetically ...

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Research paper thumbnail of Dilute one-dimensional spin glasses with power law decaying interactions

Physical Review Letters, 2008

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Research paper thumbnail of The string tension in gauge theories. A suggestion for a new measurement method

Physics Letters B, 1993

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Research paper thumbnail of Comment on “Evidence for the Droplet Picture of Spin Glasses”

Physical Review Letters, 1999

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Research paper thumbnail of Critical off-equilibrium dynamics in glassy systems

Physical Review E, 2013

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Research paper thumbnail of Relevant elements, magnetization and dynamical properties in Kauffman networks: A numerical study

Physica D: Nonlinear Phenomena, 1998

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Research paper thumbnail of A numerical study of the overlap probability distribution and its sample-to-sample fluctuations in a mean-field model

Philosophical Magazine, 2012

Bookmarks Related papers MentionsView impact

Research paper thumbnail of On the formal equivalence of the TAP and thermodynamic methods in the SK model

Journal of Physics A: Mathematical and General, 2003

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Generalization of Rules by Neural Nets

Europhysics Letters (EPL), 1992

Abstract.-We investigate the generalization abilities of various types of rules for both feedforw... more Abstract.-We investigate the generalization abilities of various types of rules for both feedforward and symmetric Hopfield neural network, The networks of the size of 24 neurons are taught to perform the rule on a small set of examples using simulated annealing optimization. Results show a rather small dependence of the type of network, but a significant difference in generalizing different rules is found. This suggests the possibility of defining the complexity of a rule to a certain extent independently of physical ...

Bookmarks Related papers MentionsView impact

Research paper thumbnail of The STARFLAG handbook on collective animal behaviour: 1. Empirical methods

Animal Behaviour, 2008

Bookmarks Related papers MentionsView impact

Research paper thumbnail of On the< i> p</i>-adic five-point function

Physics Letters B, Mar 24, 1988

Volume 203, number 1,2 PHYSICS LETTERS B 24 March 1988 ON THE p-ADIC FIVE-POINT FUNCTION Enzo MAR... more Volume 203, number 1,2 PHYSICS LETTERS B 24 March 1988 ON THE p-ADIC FIVE-POINT FUNCTION Enzo MARINARI and Giorgio PARISI Dipartimento di Fisica, 11 Universitdi Roma, "Tor Vergata", 1-00173 Rome, Italy and INFN, Sezione di Roma, Rome, Italy Received 23 December 1987 The Koba-Nielsen amplitude five-point dual function is computed integrating over the p-adic field. Contrary to what happens for the four-point function the infinite product of all the p-adic functions and the usual five-point function is not a constant. There has been ...

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Comment on" Numerical Study on Aging Dynamics in the 3D Ising Spin Glass Model

Arxiv preprint cond-mat/9904321

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Zero-Temperature Responses of a 3D Spin Glass in a Magnetic Field

Physical Review Letters, 2001

We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test f... more We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test for a spin glass ordering. We find that the spin glass susceptibility is anomalously large on the lattice sizes we can reach. Our ...

Bookmarks Related papers MentionsView impact

Research paper thumbnail of On the Four-Dimensional Diluted Ising Model

In this letter we show strong numerical evidence that the four dimensional Diluted Ising Model fo... more In this letter we show strong numerical evidence that the four dimensional Diluted Ising Model for a large dilution is not described by the Mean Field exponents. These results suggest the existence of a new fixed point with non-gaussian exponents.

Bookmarks Related papers MentionsView impact

Research paper thumbnail of The ideal glass transition of Hard Spheres

We use the replica method to study the ideal glass transition of a liquid of identical Hard Spher... more We use the replica method to study the ideal glass transition of a liquid of identical Hard Spheres. We obtain estimates of the configurational entropy in the liquid phase, of the Kauzmann packing fraction, in the range 0.58--0.62, and of the random close packing density, in the range 0.64--0.67, depending on the approximation we use for the equation of state of the liquid. We also compute the pair correlation function in the glassy states (i.e., dense amorphous packings) and we find that the mean coordination number at random close packing is equal to 6. All these results compare well with numerical simulations and with other existing theories.

Bookmarks Related papers MentionsView impact