## Electronic Communications in Probability

### Quenched central limit theorem in a corner growth setting

#### Abstract

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.

#### Article information

Source
Electron. Commun. Probab., Volume 23 (2018), paper no. 101, 12 pp.

Dates
Accepted: 29 November 2018
First available in Project Euclid: 19 December 2018

https://projecteuclid.org/euclid.ecp/1545188961

Digital Object Identifier
doi:10.1214/18-ECP201

#### Citation

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

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