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Joel David

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Papers by Joel David

Research paper thumbnail of The Lottery Preparation

Annals of Pure and Applied Logic, 2000

Research paper thumbnail of Hysteresis and hierarchies: Dynamics of disorder-driven first-order phase transformations

Physical Review Letters, 1993

We use the zero-temperature random-field Ising model to study hysteretic behavior at first-order ... more We use the zero-temperature random-field Ising model to study hysteretic behavior at first-order phase transitions. Sweeping the external field through zero, the model exhibits hysteresis, the return-point memory effect, and avalanche fluctuations. There is a critical value of disorder at which a jump in the magnetization (corresponding to an infinite avalanche) first occurs. We study the universal behavior at this critical point using mean-field theory, and also present preliminary results of numerical simulations in three dimensions.

Research paper thumbnail of Psychiatric Comorbidity in the Evolution From Migraine to Medication Overuse Headache

Research paper thumbnail of Commutators and systems of singular integral equations. I

Research paper thumbnail of Lastmpmp

Research paper thumbnail of The Lottery Preparation

Annals of Pure and Applied Logic, 2000

Research paper thumbnail of Hysteresis and hierarchies: Dynamics of disorder-driven first-order phase transformations

Physical Review Letters, 1993

We use the zero-temperature random-field Ising model to study hysteretic behavior at first-order ... more We use the zero-temperature random-field Ising model to study hysteretic behavior at first-order phase transitions. Sweeping the external field through zero, the model exhibits hysteresis, the return-point memory effect, and avalanche fluctuations. There is a critical value of disorder at which a jump in the magnetization (corresponding to an infinite avalanche) first occurs. We study the universal behavior at this critical point using mean-field theory, and also present preliminary results of numerical simulations in three dimensions.

Research paper thumbnail of Psychiatric Comorbidity in the Evolution From Migraine to Medication Overuse Headache

Research paper thumbnail of Commutators and systems of singular integral equations. I

Research paper thumbnail of Lastmpmp

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