강연 / 세미나
세미나
세미나
일정
Ergodic Theory and Probability
기간 : 2024-04-05 ~ 2024-04-05
시간 : 13:00 ~ 14:00
개최 장소 : Math bldg. 404
개요
Ergodic Theory and Probability
주최
손영환
후원
SUNY New Paltz
| 분야Field | |||
|---|---|---|---|
| 날짜Date | 2024-04-05 ~ 2024-04-05 | 시간Time | 13:00 ~ 14:00 |
| 장소Place | Math bldg. 404 | 초청자Host | 손영환 |
| 연사Speaker | Hyunchul Park | 소속Affiliation | SUNY New Paltz |
| TOPIC | Ergodic Theory and Probability | ||
| 소개 및 안내사항Content | Title: Spectral heat content for isotropic Lévy processes. Speaker: Hyunchul Park (SUNY New Paltz) Abstract: The spectral heat content (SHC) measures the total heat that remains on a domain when the initial temperature is one and the outside temperature is identically zero. When one replaces the Laplace operator in the heat equation with generators of Lévy processes, one obtains SHC for those Lévy processes. Recently, the two-term asymptotic behavior of SHC for isotropic stable processes on bounded C^{1,1} open sets was investigated by Park and Song (EJP 2022). In this talk, we generalize their result to cover Lévy processes with regularly varying characteristic exponent with index in (1,2]. The proof provides a unified approach to the study of SHC and applies to both Brownian motions and jump processes. This is a joint work with Kei Kobayashi (Fordham University). |
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| 학회명Field | Ergodic Theory and Probability | ||
|---|---|---|---|
| 날짜Date | 2024-04-05 ~ 2024-04-05 | 시간Time | 13:00 ~ 14:00 |
| 장소Place | Math bldg. 404 | 초청자Host | 손영환 |
| 소개 및 안내사항Content | Title: Spectral heat content for isotropic Lévy processes. Speaker: Hyunchul Park (SUNY New Paltz) Abstract: The spectral heat content (SHC) measures the total heat that remains on a domain when the initial temperature is one and the outside temperature is identically zero. When one replaces the Laplace operator in the heat equation with generators of Lévy processes, one obtains SHC for those Lévy processes. Recently, the two-term asymptotic behavior of SHC for isotropic stable processes on bounded C^{1,1} open sets was investigated by Park and Song (EJP 2022). In this talk, we generalize their result to cover Lévy processes with regularly varying characteristic exponent with index in (1,2]. The proof provides a unified approach to the study of SHC and applies to both Brownian motions and jump processes. This is a joint work with Kei Kobayashi (Fordham University). |
||
| 성명Field | Ergodic Theory and Probability | ||
|---|---|---|---|
| 날짜Date | 2024-04-05 ~ 2024-04-05 | 시간Time | 13:00 ~ 14:00 |
| 소속Affiliation | SUNY New Paltz | 초청자Host | 손영환 |
| 소개 및 안내사항Content | Title: Spectral heat content for isotropic Lévy processes. Speaker: Hyunchul Park (SUNY New Paltz) Abstract: The spectral heat content (SHC) measures the total heat that remains on a domain when the initial temperature is one and the outside temperature is identically zero. When one replaces the Laplace operator in the heat equation with generators of Lévy processes, one obtains SHC for those Lévy processes. Recently, the two-term asymptotic behavior of SHC for isotropic stable processes on bounded C^{1,1} open sets was investigated by Park and Song (EJP 2022). In this talk, we generalize their result to cover Lévy processes with regularly varying characteristic exponent with index in (1,2]. The proof provides a unified approach to the study of SHC and applies to both Brownian motions and jump processes. This is a joint work with Kei Kobayashi (Fordham University). |
||
| 성명Field | Ergodic Theory and Probability | ||
|---|---|---|---|
| 날짜Date | 2024-04-05 ~ 2024-04-05 | 시간Time | 13:00 ~ 14:00 |
| 호실Host | 인원수Affiliation | Hyunchul Park | |
| 사용목적Affiliation | 손영환 | 신청방식Host | SUNY New Paltz |
| 소개 및 안내사항Content | Title: Spectral heat content for isotropic Lévy processes. Speaker: Hyunchul Park (SUNY New Paltz) Abstract: The spectral heat content (SHC) measures the total heat that remains on a domain when the initial temperature is one and the outside temperature is identically zero. When one replaces the Laplace operator in the heat equation with generators of Lévy processes, one obtains SHC for those Lévy processes. Recently, the two-term asymptotic behavior of SHC for isotropic stable processes on bounded C^{1,1} open sets was investigated by Park and Song (EJP 2022). In this talk, we generalize their result to cover Lévy processes with regularly varying characteristic exponent with index in (1,2]. The proof provides a unified approach to the study of SHC and applies to both Brownian motions and jump processes. This is a joint work with Kei Kobayashi (Fordham University). |
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Admin
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2024-03-06 15:57 ·
조회 520 2017년 이전 세미나
