Construction of the canonical Brownian motion on moduli space of curves and illustration of its application to stochastic analysis
| Project/Area Number |
21654022
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Osaka University |
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Principal Investigator |
MORITA Takehiko 大阪大学, 大学院・理学研究科, 教授 (00192782)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥3,270,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2009: ¥1,100,000 (Direct Cost: ¥1,100,000)
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| Keywords | 確率解析 / ランダム力学系 / タイヒミュラー空間論 / ブラウン運動 / 1次元力学系 / 熱力学形式 / タイヒミュラー空間 / 生成作用素 / ディリクレ形式 |
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| Research Abstract |
We construct candidates of the canonical Brownian motions on Teichmtiller space via two ways. Although we are not so successful in illustrating an example of application of them, we obtain three auxiliary results. The first is concerned with generic properties of optimization measure for expanding maps, the second is concerned with harmonic measure for a class of mapping tori, and the third is concerned with one-dimensional random dynamical systems.
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Report
(4 results)
Research Products
(9 results)
