Percolation in a Class of Band Structured Random Matrices

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dc.creatorHeermann, Dieter W.
dc.creatorBohn, Manfred
dc.date2007-05-09
dc.date.accessioned2026-07-07T13:03:56Z
dc.date.available2026-07-07T13:03:56Z
dc.descriptionWe define a class of random matrix ensembles that pertain to random looped polymers. Such random looped polymers are a possible model for bio-polymers such as chromatin in the cell nucleus. It is shown that the distribution of the largest eigenvalue $λ_{max}$ depends on a percolation transition in the entries of the random matrices. Below the percolation threshold the distribution is multi-peaked and changes above the threshold to the Tracy-Widom distribution. We also show that the distribution of the eigenvalues is neither of the Wigner form nor gaussian.
dc.identifierhttps://arxiv.org/abs/0705.1241
dc.identifierhttp://arxiv.org/abs/0705.1241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226985
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.titlePercolation in a Class of Band Structured Random Matrices
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