Quenched central limit theorem in a corner growth setting

Electronic Communications in Probability

H. Christian Gromoll¹ 

关键词: last passage percolation;    central limit theorem;    concentration of measure;   

DOI  :  10.1214/18-ECP201

学科分类：统计和概率

来源: Institute of Mathematical Statistics

【 摘 要 】

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.

【 授权许可】

CC BY