Publications | Department of Mathematics
  1. Home
  2. Kiko Kawamura
  3. Publications

Publications

RESEARCH PUBLICATIONS IN REFEREED JOURNALS:

  1. Computability of Koch curve and Koch island, Algorithm, Vol. 54, pp 1-8 (1996) (with H. Kamo)
  2. A few remarks on real functions with fractal properties, Sugaku Vol. 49, pp 301-302 (1997)
  3. Computability of self-similar sets, Mathematical Logic Quarterly, Vol. 45, pp 23-30 (1999) (with H. Kamo)
  4. Computational complexity of fractal sets, Real Analysis Exchange, Vol. 26, No. 2, pp 773-793 (2000/2001) (with H. Kamo and I. Takeuti)
  5. On the classification of self-similar sets determined by two contractions on the plane, Journal of Mathematics Kyoto University, Vol. 42, No. 2, pp 255-286 (2002)
  6. Extreme values of some nowhere differentiable functions, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 140, No. 2, pp 269-295 (2006) (with P. Allaart)
  7. On the coordinate functions of Levy's dragon curve, Real Analysis Exchange, Vol. 31, No. 1, pp 295-308 (2005/06) (with P. Allaart)
  8. Dimensions of coordinate functions of space-filling curves, Journal of Mathematical Analysis and Applications, Vol. 335, pp 1161-1176 (2007) (with P. Allaart)
  9. The improper infinite derivatives of Takagi's nowhere differentiable function. Journal of Mathematical Analysis and Applications, Vol. 372, pp 656-665 (2010) (with P. Allaart)
  10. On the set of points where Lebesgue's singular function has the derivative zero, Proceedings of the Japan Academy Series A, Vol. 87, No. 9, pp 162-166 (2011)
  11. The Takagi function: a survey, Real Analysis Exchange, Vol. 37, No. 1, pp 1-54 (2011) (with P. Allaart)
  12. Revolving Fractals,: J. Fractal Geom. 8, No.3, pp 289-304 (2021)(with A.Allen)
  13. The partial derivative of Okamoto's functions with respect to the parameter, Real Analysis Exchange, Vol. 48, No. 1, pp 1-14 (2023) (with N.Dalaklis, T. Mathis and M.Paizanis).
  14. Delta-Revolving sequences and Self-similar sets in the plane, submitted for a publication. (With T. Mathis)

INTERNATIONAL CONFERENCE PROCEEDINGS (PEER-REVIEWED PUBLICATIONS)

  1. Hausdorff dimension and Computational Complexity, A Satellite workshop on Computability and Complexity in Analysis, Informatik Berichte of Fern Universitat, Vol. 235, pp 41-50 (1999) (With H. Kamo and I. Takeuti)

OTHER PUBLICATIONS (TECHNICAL REPORTS, INTERNATIONAL CONFERENCE PROCEEDINGS)

  1. Computability of self-affine sets, Annual Reports of Graduate School of Human Culture of Nara Women's Univ. Vol. 12, pp 135-150 (1997) (with H. Kamo)
  2. Real Function with Fractal Property (communicated by Prof. A. Tsutsumi), Report of meeting, the 35th international Symposium on Functional Equations, Aequationes Math. Vol. 55, pp 309-310 (1998)
  3. Hausdorff dimension and Computational Complexity, A Satellite workshop on Computability and Complexity in Analysis, Informatik Berichte of Fern Universitat, Vol. 235, pp 41-50 (1999) (With H. Kamo and I. Takeuti)
  4. On the classification of self-similar sets, Report of meeting, the 37th international Symposium on Functional Equations, Aequationes Math. Vol. 60, pp 182, 192, 196 (2000)
  5. Computational complexity of self-similar sets, Report of meeting, The 24th Summer Symposia in Real Analysis, Real Analysis Exchange (2001)
  6. Extreme values of some nowhere differentiable functions (with P. Allaart), The 29th Summer Symposia in Real Analysis, Real Analysis Exchange, pp 61- 64 (2005)
  7. On the coordinate functions of Levy's dragon curve (with P. Allaart), The 29th Summer Symposia in Real Analysis, Real Analysis Exchange, pp 55-60 (2005)
  8. Revolving sequences and Terdragon (with T. Mathis), Preprint (2021) https://arxiv.org/abs/2106.10549