Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 23 (2018), paper no. 101, 12 pp.
Quenched central limit theorem in a corner growth setting
We consider point-to-point directed paths in a random environment on the two-dimensional integer lattice. For a general independent environment under mild assumptions we show that the quenched energy of a typical path satisfies a central limit theorem as the mesh of the lattice goes to zero. Our proofs rely on concentration of measure techniques and some combinatorial bounds on families of paths.
Electron. Commun. Probab., Volume 23 (2018), paper no. 101, 12 pp.
Received: 3 August 2018
Accepted: 29 November 2018
First available in Project Euclid: 19 December 2018
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Gromoll, H. Christian; Meckes, Mark W.; Petrov, Leonid. Quenched central limit theorem in a corner growth setting. Electron. Commun. Probab. 23 (2018), paper no. 101, 12 pp. doi:10.1214/18-ECP201. https://projecteuclid.org/euclid.ecp/1545188961