Exact analyses on integrable stochastic processes related to the KPZ equation
| Project/Area Number |
25800215
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Chiba University |
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Principal Investigator |
Imamura Takashi 千葉大学, 理学(系)研究科(研究院), 准教授 (70538280)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 確率過程 / 可積分系 / KPZ方程式 / ランダム行列 / KPZクラス / レプリカ法 |
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| Outline of Final Research Achievements |
We have studied some integrable structures in the stochastic processes belonging to the one-dimensional Kardar-Parisi-Zhang (KPZ) universality class: for the KPZ equation, we analyzed the KPZ equation using the replica approach and found out that the long time limit of the spatial two-point height correlation function obtained by V. Dotsenko is equivalent to the stochastic process called the Airy_2 process . We also considered determinantal structures for the O'Connell-Yor polymer model and clarified a relation to the GUE random matrices.
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Report
(4 results)
Research Products
(15 results)
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[Presentation] Determinantal structures in the O'Connell-Yor polymer model2016
Author(s)
Takashi Imamura
Organizer
New approaches to non-equilibrium and random systems: KPZ integrability, universality, applications and experiments
Place of Presentation
Kavli Institute for Theoretical Physcs, University of California, Santa Barbara, USA
Year and Date
2016-03-09
Related Report
Int'l Joint Research / Invited
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