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Tokyo Probability Seminar
Seminar information archive ～07/01｜Next seminar｜Future seminars 07/02～
| Date, time & place | Monday 16:00 - 17:30 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Makiko Sasada, Shuta Nakajima, Masato Hoshino |
2025/07/07
16:00-17:30 Room #126 (Graduate School of Math. Sci. Bldg.)
We are having teatime from 15:15 in the common room on the second floor. Please join us.
Ryoji Takano (Osaka University)
A semigroup approach to the reconstruction theorem for singular modelled distributions and its application
We are having teatime from 15:15 in the common room on the second floor. Please join us.
Ryoji Takano (Osaka University)
A semigroup approach to the reconstruction theorem for singular modelled distributions and its application
[ Abstract ]
In our recent research, we extended a semigroup approach used in Otto & Weber (2019) and Hoshino (2023) to provide an alternative proof of the reconstruction theorem for singular modelled distributions. As an application, we constructed a local-in-time solution to the two-dimensional parabolic Anderson model with a non-translation-invariant differential operator. In this talk, I will introduce the idea of constructing solutions to singular SPDEs based on the theory of regularity structures and highlight the differences between our approach and previous works. I will then present main results of our study. This talk is based on joint work with Masato Hoshino (Institute of Science Tokyo).
In our recent research, we extended a semigroup approach used in Otto & Weber (2019) and Hoshino (2023) to provide an alternative proof of the reconstruction theorem for singular modelled distributions. As an application, we constructed a local-in-time solution to the two-dimensional parabolic Anderson model with a non-translation-invariant differential operator. In this talk, I will introduce the idea of constructing solutions to singular SPDEs based on the theory of regularity structures and highlight the differences between our approach and previous works. I will then present main results of our study. This talk is based on joint work with Masato Hoshino (Institute of Science Tokyo).
