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2014 Fluctuation exponents for directed polymers in the intermediate disorder regime
Gregorio Moreno Flores, Timo Seppäläinen, Benedek Valkó
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Electron. J. Probab. 19: 1-28 (2014). DOI: 10.1214/EJP.v19-3307


We derive exact fluctuation exponents for a solvable model of one-dimensional directed polymers in random environment in the intermediate scaling regime. This regime corresponds to taking the inverse temperature to zero as the size of the system goes to infinity. The exponents satisfy the KPZ scaling relation and coincide with physical predictions.In the critical case, we recover the fluctuation exponent of the Hopf-Cole solution of the KPZ equation in equilibrium and close to equilibrium.


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Gregorio Moreno Flores. Timo Seppäläinen. Benedek Valkó. "Fluctuation exponents for directed polymers in the intermediate disorder regime." Electron. J. Probab. 19 1 - 28, 2014.


Accepted: 26 September 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1333.60203
MathSciNet: MR3263646
Digital Object Identifier: 10.1214/EJP.v19-3307

Primary: 60K35
Secondary: 60K37 , 82D60

Keywords: Directed polymers , KPZ equation , KPZ scaling , scaling exponents

Vol.19 • 2014
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