Nonequilibrium random matrix theory: Transition probabilities.
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DOI: 10.1103/physreve.95.032144
Abstract: In this paper we present an analytic method for calculating the transition probability between two random Gaussian matrices with given eigenvalue spectra in the context of Dyson Brownian motion. We show that in the Coulomb… read more here.
Keywords: transition; transition probabilities; random matrix; matrix theory ... See more keywords
Criteria for infinite avalanches in the zero-temperature nonequilibrium random-field Ising model on a Bethe lattice.
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DOI: 10.1103/physreve.95.042109
Abstract: We present general criteria for the occurrence of infinite avalanches and critical hysteresis in the zero-temperature nonequilibrium random-field Ising model on a Bethe lattice. Drawing upon extant results as well as a result on a… read more here.
Keywords: random field; infinite avalanches; nonequilibrium random; zero temperature ... See more keywords