期刊论文详细信息
Electronic Communications in Probability | |
Quenched central limit theorem in a corner growth setting | |
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
【 预 览 】
Files | Size | Format | View |
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RO201910286341438ZK.pdf | 344KB | download |