工学部 研究紹介_2018_英語版

71/84

サイズW7.5cm×H4.35cm配置位置横11cm、縦2.5cmサイズW7.5cm×H4.35cm配置位置横11cm、縦7.8cmKawabeLabOverthelastfiftyyearstherehavebeenmanyattemptsinextendingthetheoryofclassicalprobabilityandstatisticalmodelstothegeneralizedonewhichcancopewithproblemsofinferenceanddecisionmakingwhenthemodel-relatedinformationisscare,vague,ambiguous,orincomplete.Suchattemptsincludethestudyofnonadditivemeasuresandnonlinearintegrals,impreciseprobabilities,vectormeasures,andtheirapplicationsininformationsciences,economics,engineering,andsocialsciences.Nonadditivemeasureandnonlinearintegraltheoryrefinethemathematicaltheoryofmeasureandintegrationandtheyarecloselyrelatedtoprobabilitytheoryandstatistics.Theyhavebeenusedinexpectedutilitytheory,gametheory,andsomeeconomictopicsunderKnightianuncertainty.Vectormeasuresarealsousefulwhenstudyingmathematicalmodelsininfinitedimensionalsystems.Jun KawabeProfessorDoctor of Science (Tokyo Institute of Technology, 1981)Specialty area:nonadditivemeasures, nonlinear integrals, and vector measures.Some of our recent papers concerning nonadditivemeasure theory. They are published in English to spread all over the world.Mathematics for Uncertainty and FuzzinessTo finish off writing a paper, we always have some hundreds-page research note. Weareproducingqualitygraduateswithintellectualcreativityandlogicalthinkingpoweraswellasknowledgeandskillsintheirspecializedfields.Engineering Core In the FutureAfter GraduationOhnoLabQuantuminformationtheoryisaninformationtheorybasedonquantummechanics.Quantumteleportationandaquantumcomputerarefamousandimportantapplicationsofquantuminformationtheory.Sincequantumstatesaredescribedbyoperatorsandmatriceswithsomeproperties,itisimportanttostudyoperatortheoryandtheoryofoperatoralgebra.Ourgroupstudiesquantuminformationtheorymathematically.RSAisacryptosystembasedonthedifficultyoffindingaprimefactorization.Butifwehaveaquantumcomputer,wecanfinditeasilyandthuswecancrackacode.Quantumteleportationisanewmeansofcommunication.Whenweusequantumteleportation,itisimpossibletoeavesdrop.Quantuminformationtheorywilldevelopourcommunicationtechnology.HiromichiOhnoAssociate ProfessorPh.D., Information science, Tohoku University, March 2005.Associate professor at ShinshuUniversity, since 2009.Daily life in our laboratory. Students study and prepare for their seminar.Operator Theory and Quantum Information TheoryA scene of a seminar. Students and teachers discuss mathematical problems.Graduatedstudentsfromourlaboratoryworkinvariousfieldsasengineers,governmentemployees,teachers,etc.Oneofouraimsistoimprovestudents’logicalthinkingskillsandproblem-solvingabilities.In the FutureAfter GraduationEngineering Core 69