19 citations · 54 across the 9 of their papers we have counts for
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cond-mat.stat-mech2007★ 19 cited
No-passing Rule in the Ground State Evolution of the Random-Field Ising Model
Yang Liu, Karin A. Dahmen
We exactly prove the no-passing rule in the ground state evolution of the random-field Ising model (RFIM) with monotonically varying external field. In particular, we show that the…
cond-mat.stat-mech2005
Higher Order Spectra in Avalanche Models
Amit P. Mehta, Karin A. Dahmen, A. C. Mills +1
Utilizing the Haar transform, we study the higher order spectral properties of mean field avalanche models, whose avalanche dynamics are described by Poisson statistics at a critic…
cond-mat.stat-mech2004★ 1 cited
Universal shape profiles of earthquake ruptures
Amit P. Mehta, Karin A. Dahmen, Yehuda Ben-Zion
Universal shape profiles in a variety of systems contain crucial information on the underlying dynamics. We develop such shape profiles for earthquakes as a stronger test of theory…