Analysis of stochastic processes on the adeles
Project/Area Number |
19740055
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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Research Institution | Keio University |
Principal Investigator |
YASUDA Kumi Keio University, 商学部, 准教授 (40284484)
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Project Period (FY) |
2007 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥2,450,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥450,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥500,000 (Direct Cost: ¥500,000)
|
Keywords | アデール環 / 確率解析 / p進体 / 確率過程 / マルコフ過程 / オイラー積 / P進体 |
Research Abstract |
Construction of Markov processes on the adeles, and analysis of the distribution of the exit time from the p-adic integer ring, and the p-adic norm of the p-component of the processes at the exit time. Description of the distribution of the exit time of the adelic processes from the finite integral adeles. Formulae for Riemann's zeta and other functions with Euler product representations in terms of the exit time of the processes and the p-adic norm of the p-component at the exit time. Functional equations relating the values of Riemann's zeta function at a point and its complex conjugates or its real part.
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Report
(6 results)
Research Products
(25 results)
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[Presentation] Q_pのはなし2009
Author(s)
安田公美
Organizer
確率解析の理論と応用-さよなら箱崎-
Place of Presentation
九州大学数理学研究院
Year and Date
2009-07-25
Related Report
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[Presentation] Q_pのはなし2009
Author(s)
安田公美
Organizer
確率解析の理論と応用-さよなら箱崎
Place of Presentation
九州大学数理学研究院
Year and Date
2009-07-25
Related Report
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