The Arcsine Law as a Universal Aging Scheme for Trap Models

  title={The Arcsine Law as a Universal Aging Scheme for Trap Models},
  author={G{\'e}rard Ben Arous and Jir{\'i} Cern{\'y}},
We give a general proof of aging for trap models using the arcsine law for stable subordinators. This proof is based on abstract conditions on the potential theory of the underlying graph and on the randomness of the trapping landscape. We apply this proof to aging for trap models on large two-dimensional tori and for trap dynamics of the Random Energy Model on a broad range of time scales. 
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Coalescing random walks and voter model consensus times on the torus in Z d

  • J. T. Cox
  • Ann . Probab .
  • 1989
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Aging for Bouchaud ’ s model in dimension two , Probab

  • G. Ben Arous, J. Černý, T. Mountford
  • Theory Related Fields
  • 2006

Bouchaud ’ s model exhibits two aging regimes in dimension one

  • G. Ben Arous, J. Černý
  • Ann . Appl . Probab .
  • 2005

Weak ergodicity breaking and aging in disordered systems

  • J.-P. Bouchaud
  • J . Phys . I ( France )
  • 1992

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  • F. Spitzer
  • Z . Wahrsch . Verw . Gebiete

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  • J. T. Cox, R. Durrett
  • Ann . Appl . Probab .

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