Engineering-Research-Activity2015｜SHINSHU UNIV.

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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 Kawabe, ProfessorDoctorofScience(TokyoInstituteofTechnology,1981)Specialtyarea:nonadditivemeasures,nonlinearintegrals,andvectormeasures.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.Mathematics In the FutureAfter GraduationOhnoLabQuantuminformationtheoryisaninformationtheorybasedonquantummechanics.Quantumteleportationandaquantumcomputerarefamousandimportantapplicationsofquantuminformationtheory.Sincequantumstatesaredescribedbyoperatorsandmatriceswithsomeproperties,itisimportanttostudyoperatortheoryandtheoryofoperatoralgebra.Ourgroupstudiesquantuminformationtheorymathematically.RSAisacryptosystembasedonthedifficultyoffindingaprimefactorization.Butifwehaveaquantumcomputer,wecanfinditeasilyandthuswecancrackacode.Quantumteleportationisanewmeansofcommunication.Whenweusequantumteleportation,itisimpossibletoeavesdrop.Quantuminformationtheorywilldevelopourcommunicationtechnology.HiromichiOhnoAssociateProfessorPh.D.,Informationscience,TohokuUniversity,March2005.AssociateprofessoratShinshuUniversity,since2009.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.Mathematics In the FutureAfter Graduation68

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