Abstract
We consider symmetric trap models in the d-dimensional hypercube whose ordered mean waiting times, seen as weights of a measure in ℕ*, converge to a finite measure as d→∞, and show that the models suitably represented converge to a K process as d→∞. We then apply this result to get K processes as the scaling limits of the REM-like trap model and the Random Hopping Times dynamics for the Random Energy Model in the hypercube in time scales corresponding to the ergodic regime for these dynamics.
Partially supported by CNPq grants 475833/2003-1, 307978/2004-4 and 484351/2006-0, and FAPESP grant 2004/07276-2.
Supported by FAPESP grant 2004/13009-7.
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Fontes, L.R.G., Lima, P.H.S. (2009). Convergence of Symmetric Trap Models in the Hypercube. In: Sidoravičius, V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2810-5_20
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DOI: https://doi.org/10.1007/978-90-481-2810-5_20
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2809-9
Online ISBN: 978-90-481-2810-5
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