Isamu Ohnishi
Last Updated :2026/10/02
- Affiliations, Positions
- Graduate School of Integrated Sciences for Life, Associate Professor
- Web Site
- E-mail
- isamu_o
toki.waseda.jp,kohnishi
hiroshima-u.ac.jp,
- Other Contact Details
- 1-3-1, Kagamiyama, Higashi-Hiroshima, Japan
TEL : (+81)82-424-7374 FAX : (+81)82-424-7327
- Self-introduction
- It has been over 15 years since I moved away from fields such as biology, chemistry, medicine/dentistry/pharmacy, and ecology. For the past decade, my work has focused on mathematical physics, the calculus of variations, and renormalization group theory. In particular, I have been developing a theory known as LA-ODR (Lie-Algebraic observable-dependent renormalization); I aim to apply this theory to solve various problems while simultaneously exploring ways to deepen and expand the theory itself. More specifically, utilizing quantum field theory, I have provided a variational proof—from the perspective of gauge theory—of the Ryu-Takayanagi formula, which is famous in the context of the AdS/CFT correspondence. I am now extracting not only the results but also the proof techniques and underlying concepts to apply them to problems involving phase transitions (in a broad sense). This work is deeply connected to research in quantum information, quantum gravity, and quantum condensed matter physics. These areas are also crucial as a mathematical foundation for next-generation engineering and technology that harnesses quantum mechanisms. I am also interested in industry-academia collaboration within this framework. I welcome ambitious students who are eager to take on the challenge of interdisciplinary research and education in these quantum-related frontier fields.
Basic Information
Educational Backgrounds
- The University of Tokyo, Graduate School, Division of Mathematical Sciences, Dept. of Mathematical Science, Japan, 1991/04, 1994/03
- University of Tokyo, Graduate School of Science, Dept. of Math.,, Japan, 1989/04, 1991/03
- Waseda university, faculty of science, Dept. of Math.,, JAPAN, 1985/04/01, 1989/03/15
Academic Degrees
- Ph.D. (Mathematical Science), The University of Tokyo
- Master of Science, The University of Tokyo
Educational Activity
- [Bachelor Degree Program] School of Science : Mathematics : Mathematics
- [Master's Program] Graduate School of Integrated Sciences for Life : Division of Integrated Sciences for Life : Program of Mathematical and Life Sciences
- [Doctoral Program] Graduate School of Integrated Sciences for Life : Division of Integrated Sciences for Life : Program of Mathematical and Life Sciences
In Charge of Primary Major Programs
Research Fields
- Mathematical and physical sciences;Physics;Mathematical physics / Fundamental condensed matter physics
- Mathematical and physical sciences;Mathematics;Mathematical analysis
Research Keywords
- Mathematical physics
- Variational Principle
- Applied Dynamical system, especially Renormalization group theory
Affiliated Academic Societies
- Society for Industrial and applied Mathematics, 1993
- Japan Society for Industrial and Applied Mathematics (JSIAM)
- The Mathematical Society of Japan, 1991/10
Educational Activity
Course in Charge
- 2026, Liberal Arts Education Program1, 1Term, Introductory Seminar for First-Year Students
- 2026, Undergraduate Education, 3Term, Mathematics for Computation B
- 2026, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
- 2026, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
- 2026, Graduate Education (Master's Program) , Year, Research for Academic Degree Dissertation in Mathematical and Life Sciences
- 2026, Graduate Education (Master's Program) , 2Term, Mathematical Analysis A
- 2026, Graduate Education (Master's Program) , 2Term, Topical Seminar in Mathematical Science C
- 2026, Graduate Education (Master's Program) , 4Term, Topical Seminar in Mathematical Science D
- 2026, Graduate Education (Master's Program) , First Semester, Exercises in Applied Mathematics and Computational Science A
- 2026, Graduate Education (Master's Program) , Second Semester, Exercises in Applied Mathematics and Computational Science B
Research Activities
Academic Papers
- ★, TEMPORAL SUSCEPTIBILITY AND THE KYIV–OHNISHI FLOW: A LIE-ALGEBRAIC FRAMEWORK FOR DISSIPATIVE QUANTUM DYNAMICS, Ukrainian Infomation Security, 27(1), https://jrnl.kai.edu.ua/index.php/ZI/article/view/21171-https://jrnl.kai.edu.ua/index.php/ZI/article/view/21171, 20260505
- ★, Lie-Algebraic Observable-Dependent Renormalization:
A Unified Framework for Driven Open Quantum
Systems and Stochastic Navier–Stokes Equations, Preprint, 20260429
- ★, Global Gevrey-Class Solutions to Navier–Stokes
Equations with or without Stochastic Advection Lie
Transport Noise in Arbitrary N Dimensions, Preprint, 20260409
- ★, Exact Non-Perturbative Description of Quantum
Proton Transfer in Open Biomolecular Systems via
Lie-Algebraic Observable-Dependent Renormalization, Preprint, 20260408
- ★, Quantum Simulation of Riemann Zeros as Missing
States in the Primon Gas via Lie-Algebra Decoupled
VQE and Cyclic RG Flows, Preprint, 20260407
- ★, Nonlinear Phase Stabilization in Quantum Information Systems: An LA-ODR Framework with Temporal Susceptibility Feedback, 20260403
- ★, Lie-Observable-Dependent Renormalization of
Temporal Phase Synchronization: Exact Fixed-Point
Lindbladians in the Thermodynamic Limit, Preprint, 20260401
- ★, Topological Dissipative Quantum Spin Glass:
Protected Majorana Zero Modes and Filling-Driven
Entanglement Transitions in Disordered
Non-Hermitian Kitaev Chains, Preprint, 20260320
- ★, LA-EWOG Cosmology: Lie-Observable-Dependent
Renormalization of the Unitary Bounce and
Topological Mass in SL(3,R) Non-Compact Gauge
Theories, Preprint, 20260321
- ★, Continuous-Variable Quantum Computing for
Non-Compact Gauge Theories: Generalizing to
Sp(2n;R) Lattices and Multi-Radial
Holographic RG Flow, Preprint, 20260317
- ★, A universal bound on relaxation rates for
infinite-dimensional Gaussian quantum Markov
semigroups, Preprint, 20260322
- ★, Lie-Cartan Enhanced Truncated Variational Hamiltonian Ansatz with Renormalization Group Flow: Towards Chemical Accuracy on NISQ Devices, Preprint, 20260314
- ★, Entanglement Spectrum and Topological
Entanglement Entropy in Non-Compact SL(n,R)
Gauge Theories: Exact vs Emergent Higher-Rank Symmetries from Iwasawa Decomposition, Preprint, 20260308
- ★, Lie-Algebraic Observable-Dependent Renormalization
of Dissipative Quantum Cat Phases in the Quantized
Lugiato-Lefever Equation: Preservation of Wigner
Negativity and Non-Equilibrium Phase Invariants in
the Thermodynamic Limit, Preprint, 20260307
- ★, Lie-Algebraic Observable-Dependent Renormalization
of the Quantum Lugiato-Lefever Equation: Exact
Effective Models for Quantum Frequency Combs and
Exciton-Polariton Condensation in the
Thermodynamic Limit, Preprint, 20260305
- ★, Lie-Decoupled Observable-Dependent Holographic RG
Flows in Topological Open Quantum Systems: Exact
Krylov Reduction, VQE Simulation, and Universal
TEE Probes via Cyclic Multi-Informationy, Preprint, 20260303
- ★, Dynamical Quantum Phase Transitions in
Non-Compact Gauge Theories: Banach-Lie
Decoupling and Emergent Compactification from
Confinement to Topology, Preprint, 20260303
- ★, Lie-Algebraic Entanglement-Weighted Operator
Geometry (LA-EWOG): Observable-Dependent
Renormalization and Holographic RG Flows in
SL(3,R) Non-Compact Gauge Theories for Dark
Galaxies and Emergent Gravity, Preprint, 20260227
- ★, Unified Wigner Phase-Space Theory of
Driven-Dissipative Quantum Cat States: Generalized
Hudson Theorems and Engineered Control of Z2
Symmetry Breaking and Limit Cycles, 20260220
- ★, Lie-Algebraic Observable-Dependent Renormalization for Model Reduction in Open Quantum Dynamics, Preprint, 20260218
- ★, Variational Analysis of Emergent Temporal Arrow in
Non-Compact Toy Models: Precision Benchmarks and
NISQ Feasibility, Preprint, 20260215
- ★, Transcendental Topological Order in Non-Compact SL(n,R) Gauge Theories: Scale Resonance in Holographic Radial Directions and Emergent Discrete Time Crystals, Preprint, 20260212
- ★, Stochastic Quantum Foundations of Pulled Front
Propagation: Non-Hermitian Topology, Fluctuations,
and Entanglement Scaling in the Quantized
Fisher-KPP Equation, Preprint, 20260208
- ★, Non-Hermitian Kitaev Chains and Higher Dimensions for Entanglement Transitions: Renormalization Group Approaches via VQE and Lie algebra decoupling, Preprint, 20260207
- ★, Quantum Foundations of Pulled Front Propagation: Non-Hermitian Topology and Entanglement Scaling in the Fisher-KPP Equation, Preprint, 20260207
- ★, Emergent Arrow of Time in Non-Compact Lattice Gauge Theories: Variational Simulation of Holographic Temporal Structure via Non-Compact Group Radial Freezing, Preprint, 20260203
- ★, Provably Efficient Truncation Bounds for Non-Compact SL(2, R) Lattice Gauge Theories via Iwasawa Mode Separation, Preprint, 20260131
- ★, Higher-Rank Symmetries and Emergent Geometry in Non-Compact $SL(3,\mathbb{R})$ Lattice Gauge Theories: Toward Holographic (3+1)D Gravity via Quantum Simulatio, Preprint, 20260130
- ★, Emergent Compactification and Higher-Form Symmetries in Non-Compact Gauge Theories: Entanglement Spectra in SL(2, R) Continuous-Variable Quantum Circuits, Preprint, 20260129
- ★, Continuous-Variable Quantum Computing for Non-Compact Gauge Theories: Approaching (2+1)D Gravity via SL(2;R) Lattices, Preprint, 20260126
- ★, Lie Algebra Decoupling and Holographic RG in
Non-Compact Lattice Gauge Theory, Preprint, 20260122
- ★, Dynamics in Hamiltonian Lattice Gauge Theory:
Approaching the Continuum Limit with Hyperbolic
Partitioning of SL(2;R), Preprint, 20260122
- ★, Renormalization Group Analysis of Photonic
Variational Quantum Clustering: Rigorous Scaling
and Error Bounds, Preprint, 20260122
- ★, Quantum Fluctuation-Induced Self-Replicating Patterns and Limit-Cycle Phases in the Quantized Gray-Scott Framework, Preprint, 20260121
- ★, Dissipative Quantum Cat Phases in Driven-Dissipative Kerr Cavities: Classification via Locally Reversible Channels, Preprint, 20260121
- ★, Quantum Foundations of Liesegang Pattern Formation: Second Quantization, Decoupling, and Scaling Laws in Colloidal Quantum Systems, Preprint, 20260101
- ★, Topological Measurement-Induced Phase Transition in the Kitaev Chain, Preprint, 20260111
- ★, Scalable Topological Quantum Dynamics via Renormalized Local-Information Time Evolution, Preprint, 20260111
- ★, Circuit Quantum Acoustodynamics for Bosonic Kitaev Honeycomb Lattices: Non-Abelian Anyons and Topological Braiding via Lie Algebraic and RG Analysis on 2D Floquet Extension, Preprint, 20251229
- ★, Excited Topological Edge States and Gain-Induced Lasing via SSVQE in Bosonic Su-Schrieffer-Heeger Chains, Preprint, 20251225
- ★, Hybrid Circuit Quantum Acoustodynamics for Bosonic Kitaev Chains: Variational Mapping and Lie Algebraic Decoupling of Topological Phases, Preprint, 20251221
- ★, Matrix-Element Engineering of Bosonic Modes: Lie-Algebraic Decoupling and Synthetic High-Angular-Momentum Spins, Preprint, 20251207
- ★, Dissipative Topological Protection of Majorana Modes in Yukawa-Mediated Kitaev Chains Using Synthetic High Angular Momentum Spin Dynamics, Preprint, 20251204
- ★, Multiple Timescales in Open Kitaev Chains: Renormalization Group Analysis and Insights from Non-Integrability, Preprint, 20251204
- ★, Quantum Fluctuation-Induced Exciton-Polariton Condensation and Limit-Cycle Phases in the Quantized Lugiato-Lefever Framework, Preprint, 20251126
- ★, A Note on Generalized Hudson Theorems for Wigner Negativity in the Quantized Lugiato-Lefever Equation, Preprint, 20251125
- ★, Exceptional Points in Dephased Topological Quantum Walks as Lyapunov Stable Non-Equilibrium Attractors, Preprint, 20251120
- ★, Mathematically Physical Remarks on Exact Dissipative Z2 Symmetry Breaking in a Dephasing Many-Body Open Quantum System, Preprint, 20251118
- ★, On Stochastic N-S equations via Gevrey Class Normal
Form of Lie Algebra Frameworks in Reflexive Banach
Spaces in Infinite Dimensions, International Journal of Advanced Mathematical Sciences, 12(1), 9-15, 20251117
- ★, Precise Control of Quantum Cat and Fock States in Driven-Dissipative Multi-Mode Kerr Cavities via Engineered Nonlinearity Ratios, International Journal of Advanced Mathematical Sciences, 12(1), 9-15, 20251117
- ★, Extending Lie Algebra Frameworks to Reflexive
Banach Spaces: Decoupling and Normal Forms for
Quadratic Nonlinear Systems in Infinite Dimensions, Preprint, 20251117
- ★, 60 Measurement Groups for 116-Qubit CYP3A4: A
134-Fold Improvement via Locality-Aware
Tabu-Colony Coloring, International Journal of Advanced Mathematical Sciences, 20251120
- ★, Lie Algebra Decoupling and Normal Forms for Differential
Equations defined in Infinite Dimensional Hilbert Space
with Quadratic Nonlinearities, Preprint, 20251108
- ★, Resonant Chaos and Schwinger-Like Excitations in
Driven 1D Quantum Billiards: A Lindblad Approach
to Self-Propelled Reflections and Vacuum Instabilities, Preprint, 20251107
- ★, Quantum Boundary Equilibrium Bifurcation:
Schwinger-like Pair Production in Impacting QFT
Hybrids, Preprint, 20251107
- ★, Topological Microphase Separation in 1D Diblock
Copolymers via Jordan-Wigner Mapping: Quantum
Field Simulation with Lindblad Dynamics and
Lie-Trotter Time Evolution, Preprint, 20251105
- ★, Entanglement Transitions in Open KG-Dirac Systems: Quantum Hysteresis for Enhanced CO2 Reduction in Dissipative TI Hybrids, Preprint, 20251025
- ★, Magnetic Fractional Schrödinger Eigenvalue Optimization: A Quantum Field Theory Extension with Spontaneous Symmetry Breaking and Nambu-Goldstone Analogies, Preprint, 20251025
- ★, Spin-Polarized Quantum Many-Body Hysteresis in MOF/TI Hybrids: Rigorous RG Analysis with KG-Dirac Coupling for CO2 Reduction, Hydrogen Storage, and Relativistic Quantum Information, Preprint, 20251018
- ★, Spontaneous Symmetry Breaking in Fractional Eigenvalue Optimization for Composite Membranes:
A Quantum Field Theory Extension via Renormalization Group Methods and
Nambu-Goldstone Analogies, Preprint, 20251022
- ★, Quantum Klein-Gordon model of Quantum
Many-Body Hysteresis in Topological Insulators for
Hydrogen Switching in Mg-Ni Alloys and CO2
Reduction Catalysis, International Journal of Advanced Mathematical Sciences, 12(1), 39-47, 20250928
- ★, Site Number Dependence of Hysteresis in Binary Memory Models via Renormalization Group Approach Application to CO2 Reduction Reaction, IJAMS, 20250903
- ★, Renormalization Group Reduction of Nonlinear
Klein-Gordon Equation to Complex Ginzburg-Landau
for Hydrogen Storage Dynamics in Mg-Ni Alloys, Preprint (http://dx.doi.org/10.2139/ssrn.5490827, 20250901
- ★, Rigorous Renormalization Group Analysis of Quantum Many-Body Hysteresis in Topological Insulators: Applications to Hydrogen Switching and CO_2 Reduction Catalysis, Preprint, https://ssrn.com/abstract=5490827 or http://dx.doi.org/10.2139/ssrn.5490827(https://ssrn.com/abstract=5490827 or http://dx.doi.org/10.2139/ssrn.5490827), 20250910
- ★, DYNAMICAL APPROACH TO THE ISHITANI-ABE MODEL: S-MPC FOR IMPROVED CO2 PHOTOSYNTHESIS, international Journal of Advanced Mathematical Sciences, 20250905
- ★, Topological Insulator Dynamics with Hydrogen On-Off Switching: Capacity Improvement by MPC method via Chiba Rigorous Renormalization Group
in view of Control theory, American J. Engineering Research, 20250926
- ★, Rigorous Analysis of Langevin Noise Effects on Hysteresis in Simplified Binary Memory Models: Classical and Quantum Dynamics for CO2 Reduction Catalysis, Preprint (arXiv submission /6829258, 20250925
- ★, Topological Hysteresis in Quantum Many-Body
Systems: Applications of the SBM Model and MoS2, Preprint, 20250802
- ★, Symmetry Breaking and Universality in Quantum
Many-Body Hysterisis for CO2 Reduction, Preprint, 20250801
- ★, Feedback Control and Stabilization in Nonlocal
Cahn-Hilliard-Brinkman Systems, IJAMS, 20250730
- ★, Master Sound Control and Chaotic Synchronization in Ring-Coupled Duffing Oscillators for Multi-Speaker Acoustic Control: From Finite Chains to Continuum Limits, IJAMS, 20250712
- ★, Site Number Dependence of Hysteresis in Binary Memory Models via Renormalization Group Approach Application to CO2 Reduction Reaction, Preprint, 20250630
- ★, Competing Dynamics and Control Systems: Theoretical Analysis and Simulation Results, international Journal of Advanced Mathematical Sciences, 20250907
- ★, Stochastic Model Predictive Control of Cheer Spikes and Low-Frequency Noise in Outdoor Festivals, international Journal of Advanced Mathematical Sciences, 20250905
- A Simple Stability Conjecture and Proofs to Lower Dimensional Phase Spaces Examples for Discrete Time Systems Applications to PID control Theory, Journal of Comprehensive Pure and Applied Mathematics, Vol.3 issue.1, 20250518
- ★, Comparative Analysis of Control Strategies for a Linear System with Noise: LQR, Kalman+LQR, SMC, and MPC, international Journal of Advanced Mathematical Sciences, 20250905
- ★, Stochastic Model Predictive Control of Cheer Spikes and Low-Frequency Noise in Outdoor Festivals, https://doi.org/10.14419/c1y1ch19, 20250525
- A mathematically scientific study of cyanobacterias circadian rhythm based on induced memory by hysteresis structure of covalent modification as self-feedforward auto-control system, American Journal of Engineering Research, Volume-13(Issue-6), 38-42, 20240611
- Memory, hysteresis and oscillation induced by multiple covalent modifications and its application to circadian rhythm of Cyanobacteria, Research Report in RIMS of Kyoto University, 1616, 144-156, 2008
- Memory reinforcement with scale effect and its application to mutual symbioses among terrestrial cyanobacteria of Nostochineae, feather mosses and old trees in boreal biome in boreal forests, Global Science Chronicle, 1(1), 1-7, 20170815
- A binary digit of memory induced by multiple covalent modifications and its application to molecular rhythm (Mathematical Aspects for nonlinear problems related to Life-phenomena), RIMS Kokyuroku, 1616, 145-154, 200810
- ★, Standard model of a binary digit of memory with multiple covalent modifications in a cell, J. of pure and applied math.,, 2(1), 2018
- ★, Characterization to behavior of time global solutions of a nonlinear parabolic equation with a certain jump term, Preprint
- Stability of a stationary solution for the Lugiato-Lefever equation, Tohoku Math. J., Vol. 63(No. 4), 651-663, 20111225
- Erratum: Stability of Stationary Solution for the Lugiato-Lefever Equation, Tohoku Math. J. (Accepted), 2020
- ★, A mathematical study of the one dimensional Keller and Rubinow model for Liesegang bands, J. Stat Phys, Vol.135, 107-132, 20090924
- Bifurcation analysis to Lugiato-Lefever equation in one space dimension, Physica D, Vol.239, 2066-2083, 20101115
- ★, Spectral comparison between the second and the fourth order equations of conservative type with non-local terms, JJIAM, 253-262, 19980430
- Symmetry other phenomena in the optimization of eigenvalues for composite membranes, CMP, 214, 315-337, 20000729
- ★, Analytical solutions describing the phase separation driven by a free energy functional containing a long-range interaction term, Chaos, 9(No. 2), 329-341, 19990521
- ★, Modified Hele-Shaw moving boundary problem related to some phase transition phenomena, Bull. Univ. Electro-Comm, 11(No. 1), 17-28, 19980930
- Spectral comparison between the second and the fourth order equations of conservative type with non-local terms, JJIAM, 15(No. 2), 253-262, 19980331
- ★, Some mathematical aspects of the micro-phase separation in diblock copolymers, Phys. D, 84(No. 1-2), 31-39, 19950505
- ★, Inertial manifolds for Burgers' original model system of turbulenc, Appl. Math. Lett, 7(No. 3), 33-37, 19940625
- A note of the existence of nonconstant critical points of free energy functionals in the gradient theory of phase transitions, Adv. Math. Sci. Appl., 4(No. 2)
- Dimension estimate of the global attractor for forced oscillation systems, JJIAM, 10(No. 3), 351-366, 19930530
- Dimension estimate of the global attractor for resonant motion of a spherical pendulum, Proc. Japan Acad. Ser. A Math. Sci., 68(No. 9), 302-306, 19921215
- A billiard problem in nonlinear and nonequilibrium systems, Hiroshima Math. J, 37(No. 3), 343-384, 20070512
- Physarum can solve the shortest path problem on Riemannian surface mathematically rigorously, Int. J. P. Appl. Math, 47(No. 3), 353-369
- Failure to the shortest path decision of an adaptive transport network with double edges in Plasmodium system, International J. Dyn. Sys. Diff. Eqn., Vol. 1(No. 3), 210-219, 20080922
- Standing pulse solutions for the FitzHugh-Nagumo equations, Japan J. Indust. Appl. Math., 20(No. 1), 315-337, 20000531
- Spectral comparison result and morphology for diblock copolymer problems, roceedings of the Second Japan-China Seminar, 14, 253-256, 19950615
- On global minimizes for a variational problem with non-local effect related to micro-phase separation, RIMS Report, 973, 171-176, 19960921
- ★, Characterization of the most stable stationary solution with fine structure in a certain nonlinear parabolic PDE, Preprint, 2020
- ★, On the multiple existence of steady states in the gradient theory of phase transitions, Bull. Univ. Electro-Comm., 7(No. 3), 157-166, 19940731
- Existence and instability of steady states in phase transition in a thin plate with non-local self-stress effects, Bull. Univ. Electro-Comm., 8(No. 1), 53-58, 19950430
- Mathematical analysis to an adaptive network of the Plasmodium system, Hokkaido Math. J., Vol. 36(No. 2), 445-465, 20070523
- Computational ability of cells based on cell dynamics and adaptability, New Generation Computing, 27, 57-81, 20090531
- Numerical computations of free boundary problems in quadruple precision arithmetic using an explicit metho, GAKUTO Internat. Ser. Math. Sci. Appl., 11, 193-207, 19980531
- Mathematical analysis to coupled oscillators system with a conservation law, RIMS kokyuroku BESSATSU, B21, 129-147, 2010
- A Mathematical analysis to Liesegang ring as a radially symmetric solution in n-space dimensions, Proceeding of the 6th EASIAM and AMIC 2010, 6
Publications such as books
- 2005, The Algorithmic Beauty of Sea Shell (H. Meinhardt), Book Review, Book Review, Nonlinear PDE, Nihon Hyouron Sha, 2005, Scholarly Book, Single work, 日本語, Isamu Ohnishi
- 2003, Nonlinear Analysis to Pattern formation –Liesegang phenomena, in Japanese, nonlinear PDE, Nihon Hyouron Sha, 2003, Scholarly Book, Single work, 日本語, Isamu Ohnishi
- 2008, mathematical seminar, modeling, Evolution equation theory, Scholarly Book, Single work, Isamu Ohnishi
Invited Lecture, Oral Presentation, Poster Presentation
- Spin-Polarized Quantum Many-Body Hysteresis in MOF/TI Hybrids (closed
and/or open system ), Isamu Ohnishi, Forum for Mathematics as an Infrastructure (MaaI), 2025/12/15, Without Invitation, Japanese, Forum for Mathematics as an Infrastructure (MaaI), published
- Spin-Polarized Quantum Many-Body Hysteresis in MOF/TI Hybrids: Rigorous RG Analysis with KG-Dirac Coupling for CO2 Reduction, Hydrogen Storage, and Relativistic Quantum Information, Isamu Ohnishi, 2025/11/19, Without Invitation, Japanese
- Stochastic Model Predictive Control of Cheer Spikes
and Low-Frequency Noise in Outdoor Festivals, Isamu Ohnishi, Anuual meeting of JSM
(Annual meeting of JSIAM), 2025/09/19, Without Invitation, Japanese, Japan Mathematical sciety
(JSIAM), Nagoya University
(Tokyo University of Science)
- Comparative Analysis of Control Strategies for Noisy Linear Systems:
Optimal Horizon Selection for MPC, Isamu Ohnishi, Mathematical society of Japan (2025, autumn annual meeting)
JSIAM (2025, Autumn annual meeting), 2025/09/19, Without Invitation, Japanese, Japan Mathematical Society
(JSIAM), Nagoya University
(Tokyo University of Science)
- Structure of steady state solutions of a type of nonlinear parabolic PDE system and evolution equations, Isamu Ohnishi, Hatten Houteisiki Kenkyuukai, 2019/12/24, Without Invitation, Japanese, Japan Wemens university
- Existence theorem and some properties of modified Keller-Rubinow system, Isamu Ohnishi, Annual meeting of Math. Soc. JAPAN (2019), 2019/03, Without Invitation, Japanese
- Existence theorem and some properties of modified Keller-Rubinow system by use of subdifferential, Isamu Ohnishi, 2018/12, Without Invitation, Japanese
- Standard model of a binary digit of memory with multiple covalent modifications in a cell, Isamu Ohnishi, 2018/09, Without Invitation, Japanese
- micro-structure of the most stable steady state of Turing Pattern, Isamu Ohnishi, Kansuu-Houteisiki-Bunkakai,
Shuuki-Sougou-Bunkakai,
Mathmatical Society of Japan, 2019/09/17, Without Invitation, Japanese, Mathematical society of Japan, Kanazawa University
- mathematical analysis for one-dimensional Keller-Rubinow model in Liesegang phenomena, Isamu Ohnishi, R. v.d. Hout,
D. Hilhorst,
M. Mimura, soukai Math Soc. JAPAN 2018 Sep., Without Invitation, Japanese
- Memory reinforcement with scale effect and its application to mutual symbioses among terrestrial cyanobacteria of Nostochineae, feather moss and old trees in boreal forests, Isamu Ohnishi, nothing, The 7th EAFES, 2016/04/20, Without Invitation, English, EAFES, Daegu, Korea
- A binary digit of memory induced by multiple covalent modifications and its application to molecular rhythm, Isamu Ohnishi, Special lecture in Sep. Math. Soc. JAPAN, 2008/09, With Invitation, Japanese
Works, etc.
- 新しい教科書「Dirac記号による線形作用素」の執筆, Isamu Ohnishi, The goal of this education is not to introduce a vast array of new topics. Rather, it is to take the linear algebra covered in the second year, rewrite it in Dirac notation, and then carry the same sentences into Hilbert spaces, semigroups, and open quantum dynamics. The five-volume series now being reconstructed from lecture notes is the mechanism for that process. Read vertically, the series is a progression through the academic years. Read horizontally, it is the repeated use of a few computational techniques.
Vertical use. In Volume 1 (third year, Applied Mathematics A), students separate a vector from its component representation. They sandwich completeness relations by hand in order to change displays, they see that the product of non-commuting projections need not vanish, and they see that entanglement means a global projection that cannot be written as a product of local projections. The targets are the density operator $\rho$ and the expectation $\mathrm{Tr}(\rho A)$. In Volume 2 (fourth year), the same sandwich is raised to strong convergence, and the matrix $C$ becomes an operator $Q$. White noise fails to live in $L^2$ for one reason only: $\mathrm{Tr}\,Q=\infty$. In Volume 3 (introductory graduate level), time is added and only the weight of the arrival space is changed. In Volume 4, observables are projected, while remaining CPTP, onto the block where they stabilize. Volume 5 is a translation guide: a sentence in a research paper is to be pointed at a numbered assumption in Volume 4, Chapter 10. The opening of a master's thesis is fixed at four lines: the observable to be kept, its Krylov tower, the consistent projection, and the name of the expectation that remains.
Horizontal use. Three hands appear in every volume: sandwich, change of display, and composition of projections. The resolution of the identity $I=\sum|j\rangle\langle j|$ in Volume 1 becomes strong convergence in Volume 2. The algebraic projection $\Pi$ in Volume 4 is not the measurement channel $\mathcal{E}$. For spontaneous emission, $\sigma_z$ is area-type and $\sigma_x$ is volume-type. That one line is slid across to Kuramoto's moment tower and to the centre projection of Stokes. In the exercises, QuTiP overlays $\langle\sigma_z\rangle$ before and after compression, so the stage at which an assumption fails is visible as a number. Brief solutions stay as excerpts. Students first write the four-line proofs in the main text (spectrum, trace, outer product).
Rules for the classroom. Do not begin from the differential equation of a wave function. Fix the type in finite dimension, then complete. Do not mix homework with theorems, whether the topic is a normal form, an interface, or the full text of Lions. Neither EWOG nor 4 MHz is a main theorem. The main theorem is compression. Variables that a sensor does not read may be removed from the dynamics by a completely positive projection. That sentence is placed first, because it is also a foundation for engineering.
Compression and reduction are not topics for the quantum classroom alone. In control, if unread modes are dropped through a channel, feedback closes in a lower dimension. In learning, only the tower of scores that affect the loss is kept, so the Fisher matrix stays at a computable size. In signal processing, directions on which the colour $Q^{1/2}$ does not land are left out of the sum from the start. In sensor design, the algebra of the axes to be read is declared first, and incompatible measurements are removed from the hierarchy. In every field the three assumptions are the same: the map is a projection, it is completely positive, and it commutes with the generator. Expectation values after the drop remain valid. If they do not, either the retained algebra was wrong or the projection was not a channel.
I welcome corrections of misprints and share drafts with students. A coauthor line is written only after I have asked about the other party's plans.
The closing goal is not to read a paper. It is to describe the mechanism under discussion in one's own words, with the manuscript closed. Do not enlarge the scope. Have them write the same sentence again, adding only the type of convergence., 2026/09, 2026/09, WEB, Educational Materials
- ペンネームでの雑感想文, Isamu Ohnishi, I keep a record of my daily thoughts and impressions in the form of impressions and miscellaneous notes., 2023/04, 2024/03, note.com, The Others
- 講義の記録, Isamu Ohnishi, Formal lectures:
Lectures on Applied Mathematics A and Computational Mathematics B (30 lectures in total), a brief introduction to the specialty for third-year students (45 minutes), and an explanatory lecture for the graduation research assignment (just under 20 minutes) are available on YouTube., 2023/04, 2024/02, Hiroshima University, Educational Materials
- 講義資料, Isamu Ohnishi, Draft of lecture contents for "High school university mock lecture" related to high school-university collaboration, 2023/06, 2023/10, Kure-Mitsuta High-School
Mihara High School, Educational Materials
- 講義録(note.com), Isamu Ohnishi, https://note.com/isamu_o0812/n/nf8d14e17ff38
The notes summarizing the main points of the lectures have been compiled in a book format and published for 30 weeks., Lecture Hall in Hiroshima Univ.
https://note.com/isamu_o0812/n/nf8d14e17ff38, Educational Materials
- 講義録(3、4年生、修士学生用), Isamu Ohnishi, Lecture hall in Hiroshima Univ.
youtube:
https://www.youtube.com/channel/UCjSunsEjBrfkZP0IdXW62EA/videos, Educational Materials
- 研究の軌跡とこれからへ向けての布石, 2021/07, Educational Materials
Social Activities
History as Peer Reviews of Academic Papers
- 2025, American Journal of Applied Mathematics, Others, Reviewer, 1
- 2025, Journal of Comprehensive Pure and Applied Mathematics, Editor, Editor
- 2024, American Journal applied Mathematics, Editor, Editor, 1
- 2024, Communication Mathematical Physics, Others, Reviewer, 1