Book chapter (Review article)

1. Analytic approaches to the structure formation in the accelerating universe
   Takayuki Tatekawa and Shuntaro Mizuno
   in Dark Energy: Theories, Developments, and Implications (K. Lefebvre and R. Garcia eds.) (Nova Science Publishers, New York, 2010), 241-294

Refereed Papers

1. Statistical Mechanics of Self--Gravitating System : Cluster Expansion Method
   Osamu Iguchi, Tomomi Kurokawa, Masahiro Morikawa, Akika Nakamichi, Yasuhide Sota, Takayuki Tatekawa, and Kei-ichi Maeda
   Phys. Lett. A 260 (1999) 4-9

2. Primordial fractal density perturbations and structure formation in the Universe :
   1-Dimensional collisionless sheet model
   Takayuki Tatekawa and Kei-ichi Maeda
   ApJ 547 (2001) 531-544

3. Origin of scaling structure and non-gaussian velocity distribution in self-gravitating ring model
   Yasuhide Sota, Osamu Iguchi, Masahiro Morikawa, Takayuki Tatekawa, and Kei-ichi Maeda
   Phys. Rev. E 64 (2001) 056133

4. Extenging Lagrangian perturbation theory to a fluid with velocity dispersion
   Masaaki Morita and Takayuki Tatekawa
   Mon. Not. R. Astron. Soc. 328 (2001) 815-828

5. Perturbation theory in Lagrangian hydrodynamics for a cosmological fluid with velocity dispersion
   Takayuki Tatekawa, Momoko Suda, Kei-ichi Maeda, Masaaki Morita, and Hiroki Anzai
   Phys. Rev. D 66 (2002) 064014

6. Density field in extended Lagrangian perturbation theory
   Takayuki Tatekawa
   Phys. Rev. D 69 (2004) 084020

7. Correspondence between the adhesion model and the velocity dispersion for the cosmological fluid
   Takayuki Tatekawa
   Phys. Rev. D 70 (2004) 064010

8. Universal Non-Gaussian Velocity Distribution in Violent Gravitational Processes
   Osamu Iguchi, Yasuhide Sota, Takayuki Tatekawa, Akika Nakamichi, and Masahiro Morikawa
   Phys. Rev. E 71 (2005) 016102

9. Third-order perturbative solutions in the Lagrangian perturbation theory with pressure
   Takayuki Tatekawa
   Phys. Rev. D 71 (2005) 044024

10. Non-Gaussianity of one-point distribution functions in extended Lagrangian perturbation theory
    Takayuki Tatekawa
    JCAP 04 (2005) 018

11. Thermodynamics of the self-gravitating ring model
    Takayuki Tatekawa, Freddy Bouchet, Thierry Dauxois, and Stefano Ruffo
    Phys. Rev. E 71 (2005) 056111

12. Third-order perturbative solutions in the Lagrangian perturbation theory with pressure II:
    Effect of the transverse modes
    Takayuki Tatekawa
    Phys. Rev. D 72 (2005) 024005

13. Comparison of the velocity distribution between the adhesion approximation and the Euler-Jeans-Newton model
    Hajime Sotani and Takayuki Tatekawa
    Phys. Rev. D 73 (2006) 024024

14. Non-Gaussianity of the density distribution in accelerating universes
    Takayuki Tatekawa and Shuntaro Mizuno
    JCAP 02 (2006) 006

15. Improving the Lagrangian perturbative solution for cosmic fluid: Applying Shanks transformation
    Takayuki Tatekawa
    Phys. Rev. D 75 (2007) 044028

16. Non-Gaussianity of the density distribution in accelerating universes II: N-body simulations
    Takayuki Tatekawa and Shuntaro Mizuno
    JCAP 02 (2007) 015

17. Transients from initial conditions based on Lagrangian perturbation theory in N-body simulations
    Takayuki Tatekawa and Shuntaro Mizuno
    JCAP 12 (2007) 014

18. Cosmic structures via Bose Einstein condensation and its collapse
    Takeshi Fukuyama, Masahiro Morikawa, and Takayuki Tatekawa
    JCAP 06 (2008) 033

19. The effect of modified gravity on weak lensing
    Shinji Tsujikawa and Takayuki Tatekawa
    Phys. Lett. B 665 (2008) 325-331

20. Second-order matter density perturbations and skewness in scalar-tensor modified gravity models
    Takayuki Tatekawa and Shinji Tsujikawa
    JCAP 09 (2008) 009

21. Brownian dynamics around the core of self-gravitating systems
    Tohru Tashiro and Takayuki Tatekawa
    J. Phys. Soc. Jpn. 79 (2010) 063001

22. Fourth-order perturbative equations in Lagrangian perturbation theory for cosmological dust fluid
    Takayuki Tatekawa
    Prog. Theor. Exp. Phys. (2013) 013E03

23. Transients from initial conditions based on Lagrangian perturbation theory in N-body simulations II
    the effect of the transverse mode
    Takayuki Tatekawa
    JCAP 04 (2014) 025

24. Accelerating N-body simulation of self-gravitating systems with limited first-order post-Newtonian approximation
    Takayuki Tatekawa
    Commun. Comput. Phys. 25 (2019) 68-83
    Source code: [ascl:1902.002] LPNN: Limited Post-Newtonian N-body code for collisionless self-gravitating systems

25. Transients from Initial Conditions Based on Lagrangian Perturbation Theory in N-body Simulations III: The Case of GADGET-2 Code
    Takayuki Tatekawa
    Int. J. Mod. Phys. D, 29 (15), 2050096 (2020)
    Source code: [ascl:2101.001] 3LPT-init: Initial conditions with third-order Lagrangian perturbation for cosmological N-body simulations

26. Detection of Intermediate-Mass Black Holes in Globular Clusters Using Gravitational Lensing
    Takayuki Tatekawa and Yuuki Okamura
    Stars and Galaxies, Vol. 3, id. 3 (2020)

27. JASMINE: Near-Infrared Astrometry and Time Series Photometry Science
    Daisuke Kawata et al.
    arXiv:2307.05666

    What is next?

International Conference Proceedings

1. Cosmological Jeans theory in Lagrangian coordinates
   Masaaki Morita and Takayuki Tatekawa
   Proceedings of the 4th RESCEU International Symposium 381-382 (Universal academy press, Tokyo, 2001)

2. Primordial Fractal Density Fluctuation and Structure Formation of The Universe
   Takayuki Tatekawa and Kei-ichi Maeda
   Proceedings of the 4th RESCEU International Symposium 429-430 (Universal academy press, Tokyo, 2001)

3. Primordial Fractal Density Perturbations and Structure Formation in The Universe: 1-dimensional collisionless sheet model
   Takayuki Tatekawa and Kei-ichi Maeda
   Proceedings of the Ninth Marcel Grossmann Meeting (MG9) 2015-2016 (World Scientific, Singapore, 2002)

4. The Density Field in Extended Lagrangian Perturbation Theory
   Takayuki Tatekawa
   Proceedings of the 6th RESCEU International Symposium 507-508 (Universal academy press, Tokyo, 2004)

5. Validity and Application of the Extended Lagrangian Perturbation Theory
   Takayuki Tatekawa
   Proceedings of 22nd Texas Symposium on Relativistic Astrophysics 1311 (SLAC Technical Publications, Stanford, 2005)

6. Thermodynamics of the self-gravitating ring model: Analyses with new iterative method
   Takayuki Tatekawa, Freddy Bouchet, Thierry Dauxois, and Stefano Ruffo
   J. Phys.: Conf. Ser. 31 163-164
   THE THIRD 21COE SYMPOSIUM: ASTROPHYSICS AS INTERDISCIPLINARY SCIENCE

7. Lagrangian description for the cosmic fluid
   Takayuki Tatekawa
   Proceedings of Relativistic Astrophysics and Cosmology - Einstein's Legacy - 56-58 (Springer-Verlag, 2007)

8. Phase transition in d-dimensional long-range interacting systems
   Takayuki Tatekawa
   Comp. Phys. Comm. 177 (2007) 190-190
   Proceedings of Conference on Computational Physics 2006 (CCP2006)

9. Statistical mechanics of SDSS galaxy distribution and cosmological N-body simulations
   Akika Nakamichi, Takayuki Tatekawa, Masahiro Morikawa
   AIP Conference Proceedings 965 (2007) 267-272
   Proceedings of COMPLEXITY, METASTABILITY, AND NONEXTENSIVITY: An International Conference

10. Initial condition problem for cosmological N-body simulations
    Takayuki Tatekawa and Shuntaro Mizuno
    Dark Energy and Dark Matter: Observations, Experiments and Theories
    EAS Publication Series, 36 (2009) 109-110

11. Core-Halo Structure of Quasi-Stationary States in the Hamiltonian Mean Field Model
    Eiji Konishi, Masa-aki Sakagami, and Takayuki Tatekawa
    Advances in Science, Technology and Environmentology, Research Institute for Science and Engineering, Waseda University, Vol. B11 (2015.3) 141-142
    Special Issue on New Challenges in Complex Systems Science

12. Universal structure of self-gravitating systems not depending on dimensions and its physics
    Tohru Tashiro and Takayuki Tatekawa
    Advances in Science, Technology and Environmentology, Research Institute for Science and Engineering, Waseda University, Vol. B11 (2015.3) 189-192
    Special Issue on New Challenges in Complex Systems Science

13. The relation between order of phase transition and characteristic properties in SGR models
    Takayuki Tatekawa
    Advances in Science, Technology and Environmentology, Research Institute for Science and Engineering, Waseda University, Vol. B11 (2015.3) 193-196
    Special Issue on New Challenges in Complex Systems Science

14. Higher-order Lagrangian perturbative theory for the Cosmic Web
    Takayuki Tatekawa and Shuntaro Mizuno
    Proceedings of the International Astronomical Union, Volume 11, Issue S308 (The Zeldovich Universe: Genesis and Growth of the Cosmic Web) (2016) 119-120

1. Lagrangian perturbation theory in Newtonian cosmology
   Takayuki Tatekawa
   astro-ph/0412025,"Recent Research Development in Astrophysics" Vol. 2, 1-26 (Research Signpost: Kerala, India, 2005) .

2. Stochastic Dynamics Toward the Steady State of Self-Gravitating Systems
   Tohru Tashiro and Takayuki Tatekawa
   arxiv:1108.1532, Numerical Simulations of Physical and Engineering Processes, Jan Awrejcewicz (Ed.) (INTECH, Croatia) 301-318 (2011)

1. Inhomogeneities in Newtonian Cosmology and its Backreaction to the Evolution of the Universe
   Takayuki Tatekawa, Momoko Suda, Kei-ichi Maeda, and Hiroto Kubotani
   astro-ph/0109501