@article{ECP1103,
author = {Endre Csaki and Yueyun Hu},
title = {Invariance Principles for Ranked Excursion Lengths and Heights},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {9},
year = {2004},
keywords = {},
abstract = {In this note we prove strong invariance principles between ranked excursion lengths and heights of a simple random walk and those of a standard Brownian motion. Some consequences concerning limiting distributions and strong limit theorems will also be presented.},
pages = {no. 2, 14-21},
issn = {1083-589X},
doi = {10.1214/ECP.v9-1103},
url = {http://ecp.ejpecp.org/article/view/1103}}