Electronic Journal of Probability

An almost sure CLT for stretched polymers

Dmitry Ioffe and Yvan Velenik

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We prove an almost sure central limit theorem (CLT) for spatial  extension of stretched (meaning subject to a non-zero pulling force) polymers at very weak disorder in all dimensions $d+1\geq 4$.

Article information

Electron. J. Probab., Volume 18 (2013), paper no. 97, 20 pp.

Accepted: 11 November 2013
First available in Project Euclid: 4 June 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60F05: Central limit and other weak theorems
Secondary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 82B41: Random walks, random surfaces, lattice animals, etc. [See also 60G50, 82C41] 82B44: Disordered systems (random Ising models, random Schrödinger operators, etc.) 82D60: Polymers

Polymers random walk representation random environment weak disorder CLT

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Ioffe, Dmitry; Velenik, Yvan. An almost sure CLT for stretched polymers. Electron. J. Probab. 18 (2013), paper no. 97, 20 pp. doi:10.1214/EJP.v18-2231. https://projecteuclid.org/euclid.ejp/1465064322

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