Publications:

(I) Pre-reviewed publication

[1] Computability of Koch curve and Koch island, Algorithm, 54, pp 1-8 (1996) (with H. Kamo).

[2] Two or three precautions concerning real functions with fractal character. Sugaku, Mathematical Society of Japan, 49, No.3, 301-303 (1997). (in Japanese).

[3] Computability of self-similar sets, Mathematical Logic Quarterly, 45, pp 23-30 (1999) (with H. Kamo).

[4] Computational complexity of fractal sets, Real Analysis Exchange, 26, no. 2, pp 773-793 (2000/01) (With H. Kamo and I. Takeuti).

[5] On the classification of self-similar sets determined by two contractions on the plane, J. Math. Kyoto University, 42, no.2, pp 255-286 (2002).

[6] Extreme values of some continuous nowhere differentiable functions, Math. Proc. Camb. Phil. Soc. 140, no. 2, pp269-295 (2006) (With P.Allaart)

[7] On the coordinate functions of Levy’s dragon curve, Real Analysis Exchange, 31, no. 1, pp 295-308 (2005/06) (With P.Allaart).

[8] Dimensions of coordinate functions of space-filling curves, J. Math. Anal. Appl. 335, pp 1161-1176 (2007) (with P.Allaart).

[9] The improper infinite derivatives of Takagi’s nowhere-differentiable function, J. Math.Anal. Appl 372, pp 656-665 (2010) (with P. Allaart).

[10] On the set of points where Lebesgue’s singular function has the derivative zero, Proc. Jpn. Acad. Ser. A. Vol.87, No.9, pp162-166 (2011)

[11] Takagi’s function: Survey, accepted in Real Analysis Exchange, (With P.Allaart)

I) Other publication (technical reports, non-peer-reviewed articles, and international conference proceeding)

[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 35^th 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 37^th 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 24^th Summer Symposia in Real Analysis, Real Analysis Exchange, (2001).

[6] Extreme values of some nowhere differentiable functions (with P. Allaart), The 29^th 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 29^th Summer Symposia in Real Analysis, Real Analysis Exchange, pp55-60 (2005).

II) Preprints and articles in preparation

Some invited research talks:

[1] Kyoto Dynamical Systems seminar, Kyoto University, Kyoto, Japan (September, 1995)

[2] Special session on “Chaos and Computation”, JES meeting, Tokyo, Japan (October, 1997)

[3] Symposium on Real Analysis and Functional Analysis, Tokyo, Japan (May, 1998) (Plenary talk)

[4] The third Satellite workshop on “Computability and Complexity in Analysis”, Bruno, Czech Republic (August, 1998)

[5] International conference “Fractals in Mathematics”, Kyushu University, Fukuoka, Japan (November, 1998)

[6] Ryukoku Mathematical Sciences seminar, Ryukoku University, Shiga, Japan (March, 1999)

[7] Topology Seminar, Nara Women’s University, Nara, Japan (April, 1999)

[8] The 37^th International Symposium on Functional Equations, West Virginia, U.S. (May, 1999)

[9] Real Analysis Summer Seminar, Tokyo, Japan (August, 1999)

[10] The 24^th Summer Symposia in Real Analysis, Texas, U.S. (May, 2000)

[11] Kyoto Dynamical Systems seminar, Kyoto University, Kyoto, Japan (July, 2009)

[12] Workshop on “Recent Progress in Analysis”, Hiroshima, Japan (October, 2009)

[13] Real Analysis Symposium 2009, Saitama, Japan (October, 2009) (Plenary talk)

[14] Colloquium, Mathematics Department, Nara Women’s University, Nara Japan (October, 2009)

[15] Female Leading Scientist Seminar, Nara Women’s University, Nara, Japan (November, 2009) (Invited lecture)