Research Papers - Hui RAO (Updated Feb 1, 2006).

  1. Invertible substitutions with a common periodic point. Preprint 2006. (with Zhi-ying Wen)

  2. Substitution invariant Sturmian words: an application of Rauzy fractals. Accepted by Theoretical informatics and applications. (with Valerie Berthe, Hiromi Ei and Shunji Ito) 2005.

  3. Language structure of pattern Sturmian words. Discrete Mathematics 306 (2006), 1651-1668. (with Teturo Kamae, Bo Tan and Yu-mei Xue )

  4. Atomic surfaces, tilings and coincidences II: Reducible case. To appear in Annal. Institut Fourier (Grenoble). (with Hiromi Ei and Shunji Ito) 2005.

  5. Maximal pattern complexity of 2-dimensional words. Theoretical Computer Science 359 (2006), 15-27. <\em> (with Teturo Kamae and Yu-Mei Xue)

  6. Atomic surfaces, tilings and coincidences I: Irreducible case. Isreal J. of Math. 153 (2006), 129-156. (with Shunji Ito) 2005.

  7. Lipschitz equivalence of self-similar sets. C. R. Acad. Sci. Paris Ser. I. 342 (2006), 191-196. (with Huo-Jun Ruan and Li-Feng Xi) 2005.

  8. On the open set condition for self-similar fractals. Proceeding AMS. 134 (2006), 1369-1374. (with Christoph Bandt and Nguyen Viet Hung)

  9. Maximal pattern complexity over l letters European J. Comb. 27 (2006), no. 1, 125-137. (with Teturo Kamae) 2005.

  10. Periods of $\beta$-expansions and linear recurrent sequences. Acta Arithmetic 120.1 (2005), 27-37. (with Yan-Hui Qu and Ya-Min Yang) 2005.

  11. Purely periodic $\beta$-expansions with pisot unit base. Proceeding AMS. 133 (2005), 953-964. (with Shunji Ito)

  12. A certain finiteness property of Pisot number systems. Journal of Number Theory 107 (2004), 135-160. (with Shigeki Akiyama and Wolfgang Steiner)

  13. New criteria for canonical number systems. Acta Arithmetica 111 (2004), 5-25. (with Shigeki Akiyama)

  14. Relations between different dimensions of a measure. Monatsh. Math. 135 (2002), no. 3, 191--201. (with Ai-hua Fan and Ka-sing Lau)

  15. Iterated function systems with overlaps and self-similar measures. J. London Math. Soc. (2) 63 (2001), 99-116. (with Ka-sing Lau and Sze-man Ngai)

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