2011 Fiscal Year Final Research Report
Development and applications of analytical methods for classical stochastic processes based on condensed matter physics
| Project/Area Number |
21740283
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Kyoto University (2010-2011)
The University of Tokyo (2009) |
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Principal Investigator |
OHKUBO Jun 京都大学, 大学院・情報学研究科, 講師 (70451888)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 揺らぎ / 非平衡系 / 化学反応系 / 遺伝子発現系 |
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| Research Abstract |
Inthisstudy, analyticalmethodsforclassicalstochasticprocesseswerestudied. Basedonformalanalogieswithmethodsincondensedmatterphysics, thefollowingtwopointsweremainlyinvestigated, i. e.,(1) arelationshipbetweenquantummechanicalformalismandstochasticprocessesforchemicalreactionsandecosystems, and(2) basicsforcountingstatistics(itsrelationtogeometricphases, andproposalofanumericalmethod). Inaddition, anewapProximationschemeforgeneregulatorysystemswasproposed. Thesestudiesareexpectedtobeusefulnotonlyforphysics, butalsoforlifesciences.
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