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146,990
On The Generalised Random Energy Model
, 2001
"... The Generalised Random Energy Model is a generalisation of the Random Energy Model introduced by Derrida to mimic the ultrametric structure of the Parisi solution of the SherringtonKirkpatrick model of a spin glass. It was solved exactly in two special cases by Derrida and Gardner. A rigorous anal ..."
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The Generalised Random Energy Model is a generalisation of the Random Energy Model introduced by Derrida to mimic the ultrametric structure of the Parisi solution of the SherringtonKirkpatrick model of a spin glass. It was solved exactly in two special cases by Derrida and Gardner. A rigorous
Rejuvenation in the Random Energy Model
, 2001
"... We show that the Random Energy Model has interesting rejuvenation properties in its frozen phase. Different ‘susceptibilities ’ to temperature changes, for the freeenergy and for other (‘magnetic’) observables, can be computed exactly. These susceptibilities diverge at the transition temperature, a ..."
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We show that the Random Energy Model has interesting rejuvenation properties in its frozen phase. Different ‘susceptibilities ’ to temperature changes, for the freeenergy and for other (‘magnetic’) observables, can be computed exactly. These susceptibilities diverge at the transition temperature
LARGE DEVIATIONS AND RANDOM ENERGY MODELS
 SUBMITTED TO THE ANNALS OF APPLIED PROBABILITY
, 2008
"... A unified treatment for the existence of free energy in several random energy models is presented. If the sequence of distributions associated with the particle systems obeys a large deviation principle, then the free energy exists almost surely. This includes all the known cases as well as some hea ..."
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Cited by 1 (0 self)
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A unified treatment for the existence of free energy in several random energy models is presented. If the sequence of distributions associated with the particle systems obeys a large deviation principle, then the free energy exists almost surely. This includes all the known cases as well as some
Random Energy Model with Compact Distributions
, 2005
"... In this paper we study the Random energy model so called toy model of the spin glass theory where the underlying distributions are compactly supported. We prove a general theorem on the asymptotics of free energy and obtain formulae in several interesting cases like uniform distribution, truncate ..."
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In this paper we study the Random energy model so called toy model of the spin glass theory where the underlying distributions are compactly supported. We prove a general theorem on the asymptotics of free energy and obtain formulae in several interesting cases like uniform distribution
Diluted generalized random energy model
 JETP Lett
, 1998
"... We introduce a layered random spin model, equivalent to the Generalized Random Energy Model (GREM) for some range of parameters. Similarly to diluted spin system, the diluted GREM (DGREM) is introduced. It can be applied to calculate approximatly thermodynamical properties of spin glass models in lo ..."
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Cited by 1 (0 self)
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We introduce a layered random spin model, equivalent to the Generalized Random Energy Model (GREM) for some range of parameters. Similarly to diluted spin system, the diluted GREM (DGREM) is introduced. It can be applied to calculate approximatly thermodynamical properties of spin glass models
ON A NONHIERARCHICAL VERSION OF THE GENERALIZED RANDOM ENERGY MODEL
, 2006
"... We introduce a natural nonhierarchical version of Derrida’s generalized random energy model. We prove that, in the thermodynamical limit, the free energy is the same as that of a suitably constructed GREM. ..."
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Cited by 14 (2 self)
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We introduce a natural nonhierarchical version of Derrida’s generalized random energy model. We prove that, in the thermodynamical limit, the free energy is the same as that of a suitably constructed GREM.
Exponential Random Energy Model Nabin Kumar Jana ∗
, 2005
"... In this paper the Random Energy Model(REM) under exponential type environment is considered which includes double exponential and Gaussian cases. Limiting Free Energy is evaluated in these models. Limiting Gibbs ’ distribution is evaluated in the double exponential case. ..."
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In this paper the Random Energy Model(REM) under exponential type environment is considered which includes double exponential and Gaussian cases. Limiting Free Energy is evaluated in these models. Limiting Gibbs ’ distribution is evaluated in the double exponential case.
Variational Bounds for the Generalized Random Energy Model
, 2006
"... We compute the pressure of the random energy model (REM) and generalized random energy model (GREM) by establishing variational upper and lower bounds. For the upper bound, we generalize Guerra’s “broken replica symmetry bounds”, and identify the random probability cascade as the appropriate random ..."
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Cited by 3 (2 self)
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We compute the pressure of the random energy model (REM) and generalized random energy model (GREM) by establishing variational upper and lower bounds. For the upper bound, we generalize Guerra’s “broken replica symmetry bounds”, and identify the random probability cascade as the appropriate random
GLAUBER DYNAMICS OF THE RANDOM ENERGY MODEL
, 2001
"... II. Aging below the critical temperature ..."
2007 Contributions to Random Energy Models
, 2007
"... A simple thanks will not be enough to convey my gratitude towards my supervisor, Professor B. V. Rao for his careful guidance, constant encouragements and the time he has given me during this project. I am grateful to Professor Rahul Roy for introducing several models in statistical physics and prov ..."
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A simple thanks will not be enough to convey my gratitude towards my supervisor, Professor B. V. Rao for his careful guidance, constant encouragements and the time he has given me during this project. I am grateful to Professor Rahul Roy for introducing several models in statistical physics
Results 1  10
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146,990