Research Papers - De-Jun Feng (Updated May 20, 2009).

  1. Lyapunov spectrum of asymptotically sub-additive potentials. Preprint (with Wen Huang)

  2. Growth rate for Beta expansions. Preprint (with Nikita Sidorov)

  3. On the Structures of Generating Iterated Function Systems of Cantor Sets. Preprint (with Yang Wang)

  4. Dimension theory of iterated function systems. Comm. Pure Appl. Math. (to appear) (with Huyi Hu)

  5. Multifractal formalism for Self-similar measures with weak separation condition. Journal de Mathematiques Pures et Appliquees (to appear) (with Ka-Sing Lau)

  6. Multifractal analysis for disintegrations of Gibbs measures and conditional Birkhoff averages. (with Lin Shu) Ergodic theory and dynamical systems. (to appear)

  7. Lyapunov exponents for products of matrices and Multifractal analysis. Part II: General matrices. Israel J. of Math. 170 (2009), 355-394

  8. The thermodynamic formalism for sub-additive potentials. Discrete Contin. Dyn. Syst. 20 (2008), 639-657 (with Yong-Luo Cao and Wen Huang)

  9. When is the union of two unit intervals a self-similar set satisfying the open set condition? Monatsh. Math. 152 (2007), 125-134 (with Su Hua and Yuan Ji)

  10. Refinable functions with non-integer dilations. J. Func. Anal. 250 (2007), 1-20 (with Xin-Rong Dai and Yang Wang)

  11. Structure of refinable splines. Applied and Computational Harmonic Analysis 22 (2007): 374-381 (with Xin-Rong Dai and Yang Wang)

  12. Gibbs properties of self-conformal measures and the multifractal formalism. Ergodic theory and Dynamical Systems. 27 (2007), 787-812

  13. Classification of Refinable Splines. Constr. Approx. 24 (2006): 187-200 (with Xin-Rong Dai and Yang Wang)

  14. Generation of Finite Tight Frames by Householder Transformations. Adv. Comput. Math. 24 (2006): 297-309 (with Long Wang and Yang Wang)

  15. A Class of Self-Affine Sets and Self-Affine Measures. J. Four. Anal. Appl. 11 (2005), 107-124. (with Yang Wang)

  16. The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers. Adv. Math. 195 (2005), 24-101. Older Version: Part (I). Part (II).

  17. On statistical framework for estimation from random set observations. J. Theoret. Probab. 17 (2004) 85-110 (with Ding Feng)

  18. Bernoulli convolution associated with non-Pisot numbers. Adv. Math. 187 (2004), 173-194 (with Yang Wang)

  19. The variational principle for products of non-negative matrices. Nonlinearity 17 (2004) 447--457.

  20. Lyapunov exponent for products of matrices and Multifractal analysis. Part I: Positive matrices. Israel J. of Math., 138 (2003), pp. 353--376.

  21. Multifractal Analysis of the Weak Gibbs Measures and phase transition--application to some Bernoulli convolutions. Ergodic Theory & Dynamical System 23 (2003) 1751--1784 (with E. Olivier)

  22. The smoothness of $L^q$-spectrum of self-similar measures with overlaps. J. Lond. Math. Soc. . 68 (2003), no. 1, 102--118.

  23. The exact packing measure of linear Cantor sets. Math. Nachr. 248-249(2003), 102--103.

  24. Convolutions of equicontractive self-similar measures on the line. Illinois Journal of Mathematics. 46 (2002), no. 4, 1339--1351.(with N. Nguyen and T. Wang)

  25. On a property of Pisot numbers. J. Number Theory. 97 (2002), 305--316 (with Z.Y. Wen)

  26. Pressure Function for Products of Non-negative Matrices. Math. Research Lett. 9 (2002), no. 2-3, 363--378. (with K.S. Lau)

  27. Ergodic limits on the conformal repeller. Adv. Math. 169 (2002) 58-91. (with K.S. Lau and J. Wu)

  28. Comparing Hausdorff measures and packing measures on the line, Math. Nachr. 241 (2002), 65--72.

  29. Recurrence, dimension and entropy, J. Lond Math Soc. 64 (2001), no. 1, 229--244. (with A.H. Fan and J. Wu)

  30. The Hausdorff dimension of recurrent sets in symbolic spaces, Nonlinearity, 14(2001), 81-85. (with J. Wu)

  31. On the distribution of long-term time averages on symbolic space, J. Statist. Phys, 99(2000), 813-856. (with A.H. Fan)

  32. The pointwise densities of Cantor measure, J. Math. Anal. Appl., 250(2000), 692-705. (with S. Hua and Z.Y. Wen)

  33. Some relations between packing premeasure and packing measure, Bull. London Math. Soc., 31 (1999), 665-670 (with S. Hua and Z.Y. Wen)

  34. Analyse multifractale de la recurrence sur l'espace symbolique, C. R. Acad. Sci. Paris S¨¦r. I Math. 327(1998), 629-632. (with A.H. Fan)

  35. Category and dimension of compact subsets of ${\bf R}^n$, Chinese Sci. Bull. 42(1997), 1680-1683. (With J. Wu).

  36. The net measure properties of symmetric Cantor sets and their applications, Progr. Natur. Sci., 7(1997), 172-178. (With H. Rao and J.Wu)

  37. Some dimensional results for homogeneous Moran sets, Sci. China Ser. A, 40(1997), 475-482. (With Z. Y. Wen and J. Wu)

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