Publications

  1. "Generation of finite frames by Householder transformations," Advances in Comp. Math., to appear. (with Dejun Feng and Long Wang)

  2. "Quantum integers and cyclotomy," J. Num.Theory, to appear. (with Alex Borisov and Mel Nathanson).

  3. "Bernoulli convolutions associated with certain non-pisot numbers," Adv. in Math. {187} (2004), 173--194. (with Dejun Feng)

  4. "The existence of Gabor Bases, Contemporary Math. Volume 345 (2004), (special issue), 183--192. (with D. Han)

  5. "Substitution Delone sets," Disc. and Comp. Geom. 29 (2003) 175--209. (with J.C. Lagarias)

  6. "On sparse complete Gabor systems," Appl. and Comp. Harm. Anal. 16 (2004), 60--67.

  7. "Self-affine tiling via substitution dynamical systems and Rauzy fractals," Pacific J. Math. 206, no. 2 (2002), 465--485. (with V. Sirvent)

  8. "On sparse complete Gabor systems," Appl. and Comp. Harm. Anal. 16 (2004), 60--67.

  9. "The uniformity of non-uniform Gabor basis," Advances in Computational Math. 18 (2003), pp 345--355. (with You-Ming Liu)

  10. "On spectral Cantor measures," J. Functional Analysis 193 (2002), 409-420. (with Izabella Laba)
    [ LaTeX file ]

  11. "Wavelets, tiling and spectral sets," Duke Math. J. 114, no. 1 (2002), 43--57.
    [ LaTeX file ]

  12. "Disk-like self-affine tiles in R^2," J. Disc. and Comp. Geometry. 26 (2001), no. 4, 591--601. (with C. Bandt)
    [ LaTeX file (without figures)]

  13. "Subdivision schemes and refinement equations with nonnegative masks," J. Approx. Th. 113 (2001), no. 2, 207--220.
    [ LaTeX file ]

  14. "Lattice tiling and the Weyl-Heisenberg frames," GAFA 11 (2001), no. 4, 742--758. (with Deguang Han)
    [ LaTeX file ]

  15. "Hausdorff dimension of overlapping self-similar sets," J. London Math. Soc. (2) 63 (2001), 655-672. (with S.-M. Ngai)
    [ LaTeX file (without figure) ]

  16. "On the number of Daubechies scaling functions and a conjecture of Chyzak et al." Experimental Mathematics , Vol 10 (2001), 87--89.

  17. "On 2-reptiles in the plane," Geom. Ded., Vol 82 (2000), 325--344. (with S. Ngai, V. Sirvent, P. Veerman)
    [ compressed postscript file ]

  18. "Orthogonality criteria for refinable functions and function vectors," J. Funct. Anal. Appl., Vol 6, Issue 2 (2000), 173--190. (with J. Lagarias)
    [ LaTeX file ] [ compressed postscript file ]

  19. "Orthonormal bases of exponentials for the n-cube," Duke Math. J. , Vol 103, No. 1 (2000), 25--37. (with J. Lagarias, J. Reeds)
    [ LaTeX file ] [ compressed postscript file ]

  20. "Universal spectra, universal tiling sets and the spectral set conjecture," Math. Scand. 88 (2001), 246--256. (with S. Pedersen)
    [ LaTeX file ] [ compressed postscript file ]

  21. "Geometry of self-affine tiles I," Indiana J. Math. , Vol 48, No. 1 (1999), 1-23. (with R. Strichartz) [850K]

  22. "Geometry of self-affine tiles II," Indiana J. Math. , Vol 48, No. 1 (1999), 24-42. (with R. Kenyon, J. Li, R. Strichartz) [169K]

  23. "Haar-type multiwavelet bases and self-affine multi-tiles," Asian J. Math. Vol 3, No 2 (1999), 387-400. (with T. Flaherty) [256K]

  24. "Construction of compactly supported symmetric scaling functions," Applied and Computational Harmonic Analysis , 7 (1999), 137-150. (with E. Belogay) [1.09MK]

  25. "Corrigendum and addendum to: haar bases and algebraic number theory," , J. Number Th. , Vol 76, 330-336 (1999). (with J. Lagarias) [100K]

  26. "Self-affine tiles," In Advances In Wavelet , K.S. Lau ed., Springer 1998, p. 261-285.
    [148K]

  27. "Arbitrarily smooth orthogonal nonseparable wavelets in R2,", SIAM Math. Analysis, Vol 30, No 3 (1999), pp. 678-697. (with E. Belogay)
    [1.4MK]

  28. "On the use of high order ambiguity functions for multicomponent polynomial phase signals", Signal Processing, 65 (1998), 283-296. (with Guotong Zhou) [196K]

  29. "Exploiting lag diversity in the high order ambiguity functions for polynomial phase signals", IEEE Letters on Signal Processing, 4 (1997) 240-242. (with Guotong Zhou) [78K]

  30. "Integral self-affine tiles in Rn part II: lattice tilings", J. Fourier Analysis and Appl., 3 (1997), 83-101. (with J.C. Lagarias) [168K]

  31. "The spectral set conjecture and factorization of finite abelian groups", J. Functional Analysis, 145 (1997), 73-98. (with J. C. Lagarias) [100K]

  32. "Tiling the line with the translates of one tile", Inven. Math., 124, fasc 2 (1996), 341-365. (with J.C. Lagarias) [96K]

  33. "Radix expansions for the orthant Rn", Trans. of AMS, 348 (1996), 99-117. (with J.C. Lagarias) [156K]

  34. "Two-scale dilation equations and the mean spectral radius", Random and Computational Dynamics, 4 (1996), 49-72. [159K]

  35. "Haar bases and algebraic number theory", J. Number Theory, 57 (1996), 181-197. (with J.C. Lagarias)

  36. "Self--affine tiles in Rn", Advances in Math., 121, No. 1 (1996), 21-49. (with J.C. Lagarias) [102K]

  37. "Integral self--affine tiles in Rn I. Standard and nonstandard digit set", J. of London Math. Soc., (2) 54 (1996), 161-179. (with J.C. Lagarias)

  38. "Two-scale dilation equations and the cascade algorithm", Random and Computational Dynamics, 3 (1995), 289-309. [77K]

  39. "Existence and regularity of solutions to a variational problem of Mumford and Shah: a constructive approach", SIAM J. Optimization, 5 (1995), 892-913. [164K]

  40. "Haar-type orthonormal wavelet bases in R2", J. Fourier Analysis and Appl., 2 (1995), 1-14. (with J. C. Lagarias) [138K]

  41. "The finiteness conjecture for the generalized spectral radius of a set of matrices", Linear Algebra and its Applications, 214 (1995), 17-42. (with J.C. Lagarias)

  42. "On the non-existence of limiting processes for Browning models of multi-class queeing networks", Queueing Systems Theory and Applications, 13 (1993), 41-46. (with Jim Dai) [56K]

  43. "Bounded semigroups of matrices", Linear Algebra and its Applications, 166 (1992) 21-27. (with M. Berger)

  44. "Multidimensional two-scale dilation equations", in Wavelets: A Tutorial in Theory and Applications, (C. K. Chui, ed.), Academic Press, New York, (1992), 295-325. (with M. Berger) [124K, no figures]

  45. "Image segmentation by variational methods and elliptic boundary value problems", Ph.D. Thesis, Harvard University, 1989.

  46. "On the order and number of zero divisors of a finite ring", Journal of University of Science and Technology of China, September 1982, 140-142. (in Chinese)



For a list of preprints please check out my preprints site.


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[Last updated on Oct 29, 2004]