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東京確率論セミナー
過去の記録 ～04/29｜次回の予定｜今後の予定 04/30～
| 開催情報 | 月曜日 16:00～17:30 数理科学研究科棟(駒場) 126号室 |
|---|---|
| 担当者 | 佐々田槙子、中島秀太（明治大学） |
| セミナーURL | https://sites.google.com/view/tokyo-probability-seminar23/2024年度 |
2023年09月25日(月)
17:00-18:30 数理科学研究科棟(駒場) 126号室
Jimmy He 氏 (MIT)
Boundary current fluctuations for the half space ASEP (English)
Jimmy He 氏 (MIT)
Boundary current fluctuations for the half space ASEP (English)
[ 講演概要 ]
The half space asymmetric simple exclusion process (ASEP) is an interacting particle system on the half line, with particles allowed to enter/exit at the boundary. I will discuss recent work on understanding fluctuations for the number of particles in the half space ASEP started with no particles, which exhibits the Baik-Rains phase transition between GSE, GOE, and Gaussian fluctuations as the boundary rates vary. As part of the proof, we find new distributional identities relating this system to two other models, the half space Hall-Littlewood process, and the free boundary Schur process, which allows exact formulas to be computed.
The half space asymmetric simple exclusion process (ASEP) is an interacting particle system on the half line, with particles allowed to enter/exit at the boundary. I will discuss recent work on understanding fluctuations for the number of particles in the half space ASEP started with no particles, which exhibits the Baik-Rains phase transition between GSE, GOE, and Gaussian fluctuations as the boundary rates vary. As part of the proof, we find new distributional identities relating this system to two other models, the half space Hall-Littlewood process, and the free boundary Schur process, which allows exact formulas to be computed.
