Heat kernel estimates for Markov jump processes

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Heat kernel estimates for Markov jump processes

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구분 Rookies Pitch (BK21 FOUR 신진연구자 연구발표회)
일정 2021-10-05(화) 16:30~17:10
세미나실 129동 101호
강연자 조수빈 (서울대학교)
담당교수 서인석
기타
※ 시간: 16:30~17:10 ※ 장소: 상산관 101호 Zoom: https://snu-ac-kr.zoom.us/j/2473239867  Markov jump processes and corresponding non-local opeartors are basic building blocks for modeling many heavy-tailed random phenomena. In this talk, Iwill discuss general ideas in the study of Markov jump processes and thier (Dirichlet) heat kernel estimates, and then give a brief introductionfor recent progresses and their applications. This talk overviews the following topics: Markov jump processes, fractional Laplacian, non-local operators, (Dirichlet) heat kernel estimates, stability of estimates, Harnack inequality, boundary Harnack principle.

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