Central limit theorem for the Edwards model

DOI10.1214/aop/1024404412zbMath0873.60009OpenAlexW2114376306MaRDI QIDQ1356357

Wolfgang König, W. Th. F. den Hollander, Remco van der Hofstad

Publication date: 16 October 1997

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://dspace.library.uu.nl/handle/1874/2463

zbMATH Keywords

law of large numbersEdwards modelself-repellencetransformed path measure

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Brownian motion (60J65) Local time and additive functionals (60J55)

Related Items

On the speed of the one-dimensional polymer in the large range regime ⋮ Some Brownian functionals and their laws ⋮ Annealed scaling for a charged polymer ⋮ Construction of an Edwards' probability measure on \(\mathcal C(\mathbb R_+, \mathbb R)\) ⋮ Scaling properties of weakly self-avoiding fractional Brownian motion in one dimension ⋮ A specification test for nonlinear nonstationary models ⋮ Strong approximations in a charged-polymer model ⋮ Large deviations for the one-dimensional Edwards model. ⋮ Penalizations of the Brownian motion with a functional of its local times ⋮ Asymptotics of a Brownian ratchet for protein translocation ⋮ Small value probabilities via the branching tree heuristic ⋮ A central limit theorem for a one-dimensional polymer measure

Cites Work

• On Edwards' model for long polymer chains
• Scaling for a random polymer
• A central limit theorem for a one-dimensional polymer measure
• Local time is a semi-martingale
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