Abstract
This model has an in-built hierarchical structure with a finite number of hierarchical levels (see [24]). Later, we will generalize some aspects of the model to a “continuum” of levels. This is of crucial importance for the Parisi picture of the low temperature regime of the SK-model. We start with discussing the model with two levels. The model with finitely many levels will be a straightforward generalization.
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© 2002 Springer Basel AG
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Bolthausen, E., Sznitman, AS. (2002). The Generalized Random Energy Model and Induced Clusterings. In: Ten Lectures on Random Media. DMV Seminar, vol 32. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8159-3_10
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DOI: https://doi.org/10.1007/978-3-0348-8159-3_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-6703-9
Online ISBN: 978-3-0348-8159-3
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