Concepedia
Statistics
Publications
64
Citations
4K
H-Index
32
Active since
1977
Affiliations
Tohoku University(Current)
Ibaraki University
Hokkaido University
Alfréd Rényi Institute of Mathematics
Budapest University of Technology and Economics
Fumio Hiai is an author at Tohoku University specializing in engineering, functional analysis, and probability theory.
Top concepts
EngineeringFunctional AnalysisProbabilitySpectral TheoryEntropyQuantum EntanglementQuantum ScienceQuantum ComputingStochastic CalculusRepresentation Theory
Publications per year
1977–2023
Integrals, conditional expectations, and martingales of multivalued functions
Fumio Hiai, Hisaharu Umegaki · Journal of Multivariate Analysis · 1977 · 707 citations
Integrable Probability, Stochastic Calculus, Probability Theory +2
The proper formula for relative entropy and its asymptotics in quantum probability
Fumio Hiai, Dėnes Petz · Communications in Mathematical Physics · 1991 · 512 citations
Engineering, Information Theory, Quantum Probability +8
Log majorization and complementary Golden-Thompson type inequalities
Tsuyoshi Andô, Fumio Hiai · Linear Algebra and its Applications · 1994 · 238 citations
Mathematical Programming, Lower Bound, Log Majorization +3
On the Quantum Rényi Relative Entropies and Related Capacity Formulas
Milán Mosonyi, Fumio Hiai · IEEE Transactions on Information Theory · 2011 · 133 citations · Full text
Spectral Theory, Generalized Cutoff Rates, Engineering +18
The Golden-Thompson trace inequality is complemented
Fumio Hiai, Dėnes Petz · Linear Algebra and its Applications · 1993 · 131 citations
Variational Inequality, Golden-thompson Trace Inequality, Functional Analysis
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