"On the excursions of two-dimensional random walk and Wiener process"

Endre Csáki, Antónia Földes, Pál Révész and Zhan Shi

Summary: Consider a simple symmetric random walk on the plane. Its portion between two consecutive returns to zero are called excursions. We study the sum of the excursions when the two largest ones are eliminated from the sum. Similar investigations are carried out for two-dimensional Wiener process.

Keywords: Planar random walk; local time; excursions.

AMS 1991 subject classification: 60J15; 60F15; 60J55.