- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 On the weak invariance principle for ranges of recurrent random walks with infinite variance Bull. Korean Math. Soc. 1997 Vol. 34, No. 2, 295-303 Ju-Sung Kang and In-Suk Wee Yonsei University, Korea University Abstract : We prove convergence of ranges of aperiodic recurrent random walks to ranges of strictly $\alpha$-stable processes in $L^{2}$-sense for $1< \alpha \leq 2$. Keywords : weak invariance principle, range, stable process, domain of attraction of a stable distribution MSC numbers : 60F17, 60J15 Downloads: Full-text PDF