신청자 |
김수현 |
특이사항 |
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초청자 |
김판기 |
초청자 이메일 |
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일자 |
May 30(Mon), 2022 (16:00 ~ 18:00)
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강의실 |
129동 406호 |
세미나 종류 |
확률론 |
기타 세미나 종류 |
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세미나 제목 |
Fluctuation results for size of the vacant set for random walks on discrete torus |
Abstract |
We consider a random walk on the $dge 3$ dimensional discrete torus starting from vertices chosen independently and uniformly at random. In this talk, we discuss the fluctuation behavior of the size of the range of the random walk trajectories at a time proportional to the size of the torus. The proof relies on a refined analysis of tail estimates for hitting time. We also discuss related results and open problems. This is based on joint work with Partha Dey. |
강연자 |
김대성 |
소속 기관명 |
University of Illinois at Urbana-Champaign |
파일 |
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