2009 Fiscal Year Final Research Report
Zero processes of random analytic functions
| Project/Area Number |
18540130
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyushu University |
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Principal Investigator |
SHIRAI Tomoyuki Kyushu University, 大学院・数理学研究院, 教授 (70302932)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 確率論 / フェルミオン点過程 / 大偏差原理 / Ginibre点過程 / ランダム行列 / α行列式 |
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| Research Abstract |
The zeros of a random polynomial (or a random analytic function) form a random point configuration in the complex plane. This is different from the so-called Poisson random configuration which is obtained by uniformly random sampling in the complex plane, and their points are mutually repulsive nature while Poisson random points often form weak clustering. We clarify the difference of these point configurations.
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