Greenwood, Priscilla; Perkins, Edwin A conditioned limit theorem for random walk and Brownian local time on square root boundaries. (English) Zbl 0522.60030 Ann. Probab. 11, 227-261 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 17 Documents MSC: 60F17 Functional limit theorems; invariance principles 60G50 Sums of independent random variables; random walks 60J65 Brownian motion 60G17 Sample path properties 60J55 Local time and additive functionals 60K05 Renewal theory Keywords:conditioned limit theorem; local time; weak convergence; existence of small oscillations in Brownian paths Citations:Zbl 0299.60053; Zbl 0336.60024 PDF BibTeX XML Cite \textit{P. Greenwood} and \textit{E. Perkins}, Ann. Probab. 11, 227--261 (1983; Zbl 0522.60030) Full Text: DOI