{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1040000782003401088.json","@type":"Project","projectIdentifier":[{"@type":"KAKEN","@value":"18K13426"},{"@type":"JGN","@value":"JP18K13426"},{"@type":"URI","@value":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K13426/"}],"jpcoar:awardTitle":[{"@language":"ja","@value":"非平衡定常状態に対する極限定理"},{"@language":"en","@value":"Limit theorems for stationary nonequilibrium states"}],"field":[{"keyword":[{"language":"ja","textList":["小区分12010:基礎解析学関連"]},{"language":"en","textList":["Basic Section 12010:Basic analysis-related"]}]}],"dc:language":"ja","description":[{"type":"outline_of_research_achievement","notation":[{"@language":"ja","@value":"格子気体に対するスケール極限について研究を行った。特に、流体力学極限と大偏差原理に関連する問題について研究を行い、遅い境界を持つ排他過程の定常状態に対する大数の法則、平均曲率流のGlauber-Kawasaki過程からの導出、Burgers方程式の弱非対称排他過程からの導出、Glauber-Kawasaki過程が混合時間について相転移を起こすことなどの成果を得た。"},{"@language":"en","@value":"I studied a scaling limit for a lattice gas. Especially, I studied a hydrodynamic limit and problems related to a large deviation principle. I obtained results on law of large numbers for a stationary state of an exclusion process with slow boundary, derivation of the mean curvature flow from a Glauber-Kawasaki dynamics, derivation of the Burgers equation from a weakly asymmetric exclusion process and phase transition in mixing times for a Glauber-Kawasaki dynamics."}]},{"type":"significance_of_research_achievement","notation":[{"@language":"ja","@value":"流体力学極限は確率論のみならず数理物理学や統計力学などで古典的に研究されており、現在も活発に研究が行われている研究対象である。標語的に「ミクロからマクロへ」とよばれる、統計力学の理念を数学的に厳密に考える問題であるが、考えられる問題はいずれも容易なものではなく、その問題の解決には数学的に深い知見が必要とされる。そのような問題に対して新たな研究成果を与えることは学術的に新たな展開を与えることになると考えられ、研究分野の進展に貢献を与えるものとみこまれる。"}]}],"researcher":[{"@id":"https://cir.nii.ac.jp/crid/1420845751147796352","@type":"Researcher","personIdentifier":[{"@type":"KAKEN_RESEARCHERS","@value":"10783938"},{"@type":"NRID","@value":"1000010783938"},{"@type":"NRID","@value":"9000290372175"},{"@type":"NRID","@value":"9000391664468"},{"@type":"NRID","@value":"9000404121238"},{"@type":"RESEARCHMAP","@value":"https://researchmap.jp/kenkichi-tsunoda"}],"foaf:name":[{"@language":"ja","@value":"角田 謙吉"},{"@language":"en","@value":"Tsunoda Kenkichi"}],"jpcoar:affiliationName":[{"@language":"ja","@value":"九州大学"}],"role":"principal_investigator"}],"since":"2018-04-01","until":"2023-03-31","institution":[{"institutionIdentifier":[{"@type":"NII","@value":"0017102"}],"notation":[{"@language":"ja","@value":"九州大学"},{"@language":"en","@value":"Kyushu University"}]},{"institutionIdentifier":[{"@type":"NII","@value":"0014401"}],"notation":[{"@language":"ja","@value":"大阪大学"},{"@language":"en","@value":"Osaka University"}]}],"fundingProgram":[{"jpcoar:funderName":[{"@language":"ja","@value":"科学研究費助成事業"},{"@language":"en","@value":"Grants-in-Aid for Scientific 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