List of Works + + Tomoki KAWAHIRA + +

Papers / Preprints
On the natural extensions of dynamics with a Siegel or Cremer point (with C.Cabrera) To appear in J. Difference Equ. Appl. (arXiv:1103.2905v1 [Math.DS])
Quatre applications du lemme de Zalcman `a la dynamique complexe. Preprint, 2010.
Family of invariant Cantor sets as orbits of differential equations, II: Julia sets (with Y-C Chen, H-L Li, and J-M Yuan) Inter. J. Bifur. & Chaos. 21 (2011) pp 77-99.
Topology of the regular part for infinitely renormalizable quadratic polynomials (with C. Cabrera) Fund. Math. 208 (2010) pp 35-56.
Tessellation and Lyubich-Minsky laminations associated with quadratic maps, II: Topological structures of 3-laminations Conform. Geom. Dyn. 13 (2009) pp 6-75.
Tessellation and Lyubich-Minsky laminations associated with quadratic maps, I: Pinching semiconjugacies Ergodic Theory Dynam. Systems 29 (2009) pp 579-612.
A proof of simultaneous linearization with a polylog estimate Bull. Polish Acad. Sci. Math. 55 (2007) pp 43-52.
Semiconjugacies between the Julia sets of geometrically finite rational maps II in Dynamics on the Riemann Sphere: A Bodil Branner Festschrift, Eur. Math. Soc., 2006, pp 131-138.
On the regular leaf space of the cauliflower Kodai Math. J. 26 (2003) pp.167 - 178.
Semiconjugacies between the Julia sets of geometrically finite rational maps Ergodic Theory Dynam. Systems 23 (2003) pp.1125 - 1152.
Full List of Works

Papers / Preprints

On the natural extensions of dynamics with a Siegel or Cremer point
(with C.Cabrera) To appear in J. Difference Equ. Appl. (arXiv:1103.2905v1 [Math.DS])

Family of invariant Cantor sets as orbits of differential equations, II: Julia sets
(with Y-C Chen, H-L Li, and J-M Yuan) Inter. J. Bifur. & Chaos. 21 (2011) pp 77-99.

Topology of the regular part for infinitely renormalizable quadratic polynomials
(with C. Cabrera) Fund. Math. 208 (2010) pp 35-56.

A proof of simultaneous linearization with a polylog estimate
Bull. Polish Acad. Sci. Math. 55 (2007) pp 43-52.

Semiconjugacies between the Julia sets of geometrically finite rational maps II
in Dynamics on the Riemann Sphere: A Bodil Branner Festschrift, Eur. Math. Soc., 2006, pp 131-138.

On the regular leaf space of the cauliflower
Kodai Math. J. 26 (2003) pp.167 - 178.

Miscellaneous
Similarity between the Mandelbrot set and the Julia sets: a simplified proof not for publication, 2011.	An algorithm to draw external rays of the Mandelbrot set not for publication, 2009.
Notes on dynamically stable perturbations of parabolics RIMS Kokyuroku 1447 (2005), pp 90 - 107.	Some new applications of Zalcman's lemma to complex dynamics (In Japanese) RIMS Kokyuroku 1699 (2010), pp 44 - 61.
Semiconjugacies in complex dynamics with parabolic cycles. Thesis, University of Tokyo, 03/2003.	Hausdorff次元に関するSullivanの辞書 (with M. Taniguchi, in Japanese). Topics in Complex Analysis 1999.

Slides
Topology of the Lyubich-Minsky laminations for quadratic maps: Deformation and rigidity (1st \| 2nd \| 3rd) Jussieu, Paris, 12/2008.	複素力学系におけるラミネーション理論：変形と剛性 (In Japanese) Nagoya，Japan, 12/2009.