an:07145305
Zbl 1448.60028
Okada, Izumi
Geometric structures of late points of a two-dimensional simple random walk
EN
Ann. Probab. 47, No. 5, 2869-2893 (2019).
0091-1798 2168-894X
2019
j
60D05 60G50 60J55
local time; late point; simple random walks
Summary: As \textit{A. Dembo} [Lect. Notes Math. 1869, 5--101 (2005; Zbl 1102.60009); in: Proceedings of the international congress of mathematicians (ICM), Spain, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS). 535--558 (2006; Zbl 1099.60028)] suggested, we consider the problem of late points for a simple random walk in two dimensions. It has been shown that the exponents for the number of pairs of late points coincide with those of favorite points and high points in the Gaussian free field, whose exact values are known. We determine the exponents for the number of \(j\)-tuples of late points on average.
1102.60009; 1099.60028