Event
01_1
| 제출번호(No.) | 0080 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Probability and Statistics (PS) |
| 영문제목 (Title(Eng.)) |
Macroscopic fractal random sets |
| 저자(Author(s)) |
Kunwoo Kim1 POSTECH1 |
| 초록본문(Abstract) | In this talk, we first introduce macroscopic fractal dimensions introduced by Barlow and Taylor (1992), and then consider various random sets and their macroscopic fractal dimensions. In particular, we provide some formula for the macroscopic Hausdorff/Minkowski dimensions of the range of a general random walk on $\mathbb{Z}^d$. This is based on join work with N. Georgiou, D. Khoshnevisan and A. Ramos. |
| 분류기호 (MSC number(s)) |
60G50 |
| 키워드(Keyword(s)) | Macroscopic Hausdorff/Minkowski dimensions, random walks |
| 강연 형태 (Language of Session (Talk)) |
Korean |