2003 Fiscal Year Final Research Report Summary
Research on simulations of stochastic fields
| Project/Area Number |
14540144
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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 | Okayama University of Science |
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Principal Investigator |
TAKASHIMA Keizo Okayama University of Science, Faculty of Science, professor, 理学部, 教授 (00137184)
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| Co-Investigator(Kenkyū-buntansha) |
YAGUCHI Hirotake Mie University, Faculty of Education, 教育学部, 教授 (40157970)
SUTO Kiyokazu Okayama University of Science, Faculty of Science, 理学部, 助教授 (50196903)
AKENAKA Shigeo Okayama University of Science, Faculty of Science, 理学部, 教授 (80022680)
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| Project Period (FY) |
2002 – 2003
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| Keywords | Pseudorandom number generation / Stochastic fields / Stable stochastic processes / Statistical tests / Monte Carlo method |
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| Research Abstract |
We have researched studies on pseudorandom number generations, which are indispensable on simulations of random phenomena, and we have also studied their applications on computer simulations. On the generation of pseudorandom numbers based on the shift-real computation, Yaguchi succeeded an improvement of his original method, and he applied the theory of 1 dimensional dynamical systems, especially he employed the theory of Perron-Frobenius operators on his problem. Takenaka introduced a new method of generation of pseudorandom numbers, having a probability distribution with heavy tail.
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