Book and thesis
Papers
Fast symplectic integrator for Nesterov-type acceleration method Japan Journal of Industrial and Applied Mathematics 42 (1),pp.331-372 (Co-authored) 2024/12
Papers
Contact topology and electromagnetism: The Weinstein conjecture and Beltrami-Maxwell fields J. Math. Phys. 65 (8),pp.082704 (Sole-authored) 2024/08
Papers
From the Fokker-Planck equation to a contact Hamiltonian system Journal of Physics A: Mathematical and Theoretical,pp.335005-335005 (Sole-authored) 2024/08
Papers
Contact geometric approach to Glauber dynamics near a cusp and its limitation Journal of Physics A: Mathematical and Theoretical 56,pp.125001-125001 (Co-authored) 2023/03
Papers
Affine geometric description of thermodynamics J. Math. Phys. 64 (1),pp.013301-013301 (Sole-authored) 2023/01
Papers
Nonequilibrium thermodynamic process with hysteresis and metastable states—A contact Hamiltonian with unstable and stable segments of a Legendre submanifold Journal of Mathematical Physics 63 (5),pp.053302-053302 (Sole-authored) 2022/05
Papers
Contact Hamiltonian Systems for Probability Distribution Functions and Expectation Variables: A Study Based on a Class of Master Equations Progress in Information Geometry Theory and Applications,pp.57-87 (Co-authored) 2021/03
Papers
Diffusion equations from master equations—A discrete geometric approach Journal of Mathematical Physics 61 (11),pp.113301-113301 (Co-authored) 2020/11
Papers
Information and contact geometric description of expectation variables exactly derived from master equations Physica Scripta 95 (1),pp.015207-015207 (Co-authored) 2019/12
Papers
Preseismic Ionospheric Anomalies Detected Before the 2016 Taiwan Earthquake J. Geo. Res. Space Phys. 124,pp.2019JA026640 (Co-authored) 2019/10
Papers
Expectation Variables on a Para-Contact Metric Manifold Exactly Derived from Master Equations GSI 2019: Geometric Science of Information,pp.239-247 (Co-authored) 2019/08
Papers
Aspects of Quantum Energy and Stress in Inhomogeneous Unbounded Dielectric Continua Rev. Math. Phys. 31,pp.1950002 (Co-authored) 2018/10
Papers
Contact geometric descriptions of vector fields on dually flat spaces and their applications in electric circuit models and nonequilibrium statistical mechanics JOURNAL OF MATHEMATICAL PHYSICS 57 (10),pp.102702 (Sole-authored) 2016/10
Papers
The dynamics of compact laser pulses JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 49 (26),pp.265203 (Co-authored) 2016/07
Papers
Classical dynamics of free electromagnetic laser pulses NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS 369,pp.40-44 (Co-authored) 2016/02
Papers
Legendre submanifolds in contact manifolds as attractors and geometric nonequilibrium thermodynamics JOURNAL OF MATHEMATICAL PHYSICS 56 (7),pp.073301 (Sole-authored) 2015/07
Papers
On the computation of Casimir stresses in open media and Lifshitz theory J. Phys. A: Math. Theor. 46,pp.405301 (Co-authored) 2013/10
Papers
Numerical regularization of electromagnetic quantum fluctuations in inhomogeneous dielectric media PHYSICAL REVIEW A 85 (3),pp.034103 (Co-authored) 2012/03
Papers
The electrodynamics of inhomogeneous rotating media and the Abraham and Minkowski tensors. I. General theory PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 467 (2125),pp.59-78 (Co-authored) 2011/01
Papers
The electrodynamics of inhomogeneous rotating media and the Abraham and Minkowski tensors. II. Applications PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 467 (2125),pp.79-98 (Co-authored) 2011/01
Papers
Quantum Electromagnetic Vacuum Fluctuations in Inhomogeneous Dielectric Media PHOTON COUNTING APPLICATIONS, QUANTUM OPTICS, AND QUANTUM INFORMATION TRANSFER AND PROCESSING III 8072,pp.80720O (Co-authored) 2011
Papers
Numerical Analysis of Chaos Synchronization in Semiconductor Lasers Subject to a Common Drive Signal ELECTRONICS AND COMMUNICATIONS IN JAPAN 93 (5),pp.50-58 (Co-authored) 2010/05
Papers
Amplitude equations for a linear wave equation in a weakly curved pipe JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 42 (44),pp.445205 (Sole-authored) 2009/11
Papers
Electromagnetic fields produced by moving sources in a curved beam pipe JOURNAL OF MATHEMATICAL PHYSICS 50 (6),pp.063510 (Co-authored) 2009/06
Papers
Synchronization of chaotic semiconductor lasers by optical injection with random phase modulation OPTICAL AND QUANTUM ELECTRONICS 41 (3),pp.137-149 (Co-authored) 2009/02
Papers
Conditional Lyapunov exponent depending on spectrum of input noise in common-noise-induced synchronization IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES E91A (9),pp.2535-2539 (Co-authored) 2008/09
Papers
Numerical analysis on chaos synchronization in semiconductor lasers subject to a common drive signal IEEJ Transactions on Electronics, Information and Systems 128 (5),pp.12-774 (Co-authored) 2008
Papers
Renormalization reductions for systems with delay PROGRESS OF THEORETICAL PHYSICS 118 (2),pp.211-227 (Sole-authored) 2007/08
Papers
From an unstable periodic orbit to the Lyapunov exponent and a macroscopic variable in a Hamiltonian lattice - Periodic orbit dependencies PROGRESS OF THEORETICAL PHYSICS 118 (1),pp.25-33 (Sole-authored) 2007/07
Papers
Common-chaotic-signal induced synchronization in semiconductor lasers OPTICS EXPRESS 15 (7),pp.3974-3980 (Co-authored) 2007/04
Papers
Analytical expression for low-dimensional resonance islands in a 4-dimensional symplectic map PROGRESS OF THEORETICAL PHYSICS 115 (2),pp.251-258 (Sole-authored) 2006/02
Papers
Non-universal finite size effects with universal infinite-size free energy for the alpha-XY model PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT 162 (162),pp.97-103 (Co-authored) 2006
Papers
Non-universal finite size effects with universal infinite-size free energy PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 354,pp.312-322 (Co-authored) 2005/08
Papers
Liouville operator approach to symplecticity-preserving renormalization group method PHYSICA D-NONLINEAR PHENOMENA 194 (3-4),pp.175-186 (Co-authored) 2004/07
Papers
Renormalization analysis of resonance structure in a 2-D symplectic map PROGRESS OF THEORETICAL PHYSICS 111 (4),pp.463-474 (Co-authored) 2004/04
Papers
Random wandering around homoclinic-like manifolds in a symplectic map chain PROGRESS OF THEORETICAL PHYSICS 107 (4),pp.637-654 (Co-authored) 2002/04
Papers
Asymptotic expansions of unstable and stable manifolds in time-discrete systems PROGRESS OF THEORETICAL PHYSICS 105 (1),pp.99-107 (Co-authored) 2001/01
Papers
Regularized renormalization group reduction of symplectic maps JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 70 (1),pp.49-54 (Co-authored) 2001/01
Papers
Dynamics near resonance junctions in Hamiltonian systems PROGRESS OF THEORETICAL PHYSICS 102 (5),pp.937-946 (Co-authored) 1999/11
Papers
Lie-group approach to perturbative renormalization group method PROGRESS OF THEORETICAL PHYSICS 102 (3),pp.471-497 (Co-authored) 1999/09