PUBLICATIONS (in refereed journals)
 Infinite dimensional polytopes, Math. Scand., 32 (1973),
193213
 The dual ball of a Lindenstrauss space, Math. Scand., 33
(1973), 323337
 Extreme opereators on Choquet simplexes, Pacific J. Math.,
52 (1974), 129142
 A representation theorem of isometries of C(X,E), Pacific
J. Math., 22 (1975), 229233
 Farthest points in weakly compact sets, Israel J. Math., 22
(1975), 168174
 On strongly exposing functionals, J. Aust. Math. Soc., 21
(1976), 362367
 A note on lower semicontinuous setvalued maps, Bull.
Pol. Acad. Sci., 4 (1976), 271273
 A remark on strongly exposing functionals, Proc. Amer.
Math. Soc., 59 (1976) 242244
 On almost Chebyshev subspaces, J. Approx., Th. 21 (1977),
319327.
 Best approximation by closed sets in Banach spaces, J.
Approx., Th. 23 (1978), 2936.
 Differentiability via directional derivatives, Proc. Amer.
Math. Soc., 70 (1978), 1117 (with C. Weil).
 Almost Chebyshev subsets in reflexive Banach spaces,
Indiana Univ. Math. J., 27 (1978), 791795.
 On a sufficient condition for proximity, Tran. Amer. Math.
Soc., 251 (1979), 343356.
 Approximation by continuous vector valued functions, Studia
Math., (1980), 291298.
 On generalized harmonic analysis, Tran. Amer. Math. Soc.,
259 (1980), 7597 (with J. Lee).
 On the Banach spaces of functions with bounded upper means,
Pacific J. Math., 91 (1980), 153172.
 The class of convolution operators on the Marcinkiewicz
spaces, Ann. Inst. Fourier, Grenoble 31 (1981), 225243.
 Extension of Wiener's Tauberian identity and multipliers on
the Marcinkiewicz Space, Tran. Amer. Math. Soc., 277 (1983), 489506.
 Integrated Cauchy functional equation and characterizations
of the exponential law, Sankhya A, 44 (1982), 7290, (with C.R. Rao).
 Solution to the integrated Cauchy functional equation on
the whole line, Sankhya A, 46 (1984), 311318, (with C.R. Rao).
 Integrated Cauchy functional equation with an error term and the exponential law,
Sankhya A, 46 (1984), 339354 (with H.M. Gu).
 Characterization of the Rao's quadratic entropies, Sankhya
A, 47 (1985), 295309.
 On the nonlinear diffusion equation of Kolmogorov,
Petrovsky and Piscounov, J. Differential Eq., 59 (1985), 4470.
 Solution of Deny convolution equation restricted to a half
line via a random walk approach, J. Multi. Anal., 24 (1988), 309329 (with A.
Alzaid, C.R. Rao and D.N. Shanbhag).
 On characteristic functions satisfying a functional
equation, and related classes of simultaneous integral equations,
Sankhya A, 50 (1988), 190198 (with B. Ramachandran and H.M. Gu).
 Some new classes of Hardy spaces, J. Funct. Anal., 84
(1989), 255278 (with Y.Z. Chen).
 On an equivalent class of norms for BMO, J. Aust. Math.
Soc., 46 (1989), 289295 (with Y.Z. Chen).
 Wiener transformation on functions with bounded averages,
Proc. Amer. Math. Soc., 108, (1990), 411421 (with Y.Z. Chen).
 On the geometry of spheres in normed linear spaces, J.
Aust. Math. Soc., 48 (1990), 101112 (with J. Gao).
 Characterization of the exponential distribution by the relevation transform,
J. Applied Prob., 27 (1990), 726729 (with B.L.S. Prakasa Rao).
 On the convolution equation of Choquet and Deny on
semigroups, Studia Math., 97 (1990), 115135 (with W. Zeng).
 The sum of Rademacher functions and Hausdorff dimension,
Math. Proc. Camb. Phil. Soc., 108 (1990), 97103 (with T.Y. Hu).
 On two classes of Banach spaces with uniform normal
structure, Studia Math., 99 (1991), 4156 (with J. Gao).
 Fractal measures and mean pvariations, J. Funct. Anal.,
108 (1992), 427457.
 Fractal dimensions and singularities of the Weierstrass type
functions, Tran. Amer. Math. Soc., 335 (1993), 649665, (with T.Y. Hu).
 Mean quadratic variations and Fourier asymptotics of
selfsimilar measures, Monatshefte Math., 115 (1993), 99132, (with J.
Wang).
 Dimension of a family of singular Bernoulli
convolutions, J. Funct. Anal., 116 (1993), 335358.
 Hausdorff dimension of the level sets of Rademacher series,
Bull. Polish Acad. Sci., 41 (1993), 1118 (with T.Y. Hu).
 On the Hausdorff dimension of the graph of the perturbed
Rademacher series, Real Anal. Exchange, 19 (1994), 457464, (with T.Y.
Hu).
 Solutions of the operatorvalued integrated Cauchy
functional equation, J. Operator Theory, 32 (1994), 157183 (with C.H.
Chu).
 Characterization of Lpsolutions for the twoscale
dilation equations, SIAM J. Math. Anal., 26 (1995), 10181046 (with J.
Wang).
 Vectorvalued ChoquetDeny theorem, renewal equation and
selfsimilar measures, Studia Math., 117 (1995), 128, (with J. Wang
and C.H. Chu).
 On some sharp regularity estimations of L^{2}scaling functions, SIAM
J. Math. Anal., 27 (1996), 835864, (with M. Ma and J. Wang).
 A weighted Tauberian theorem, J. Fourier Anal. and Appl., 2
(1996), 397406.
 On the discount sum of Bernoulli random variables, J. of Stat.
Planning and Inference, 63 (1997), 231246 (with A. Ho).
 The regularity of L^{p}scaling functions, Asian J.
Math., (1997), 272292 (with M.F. Ma).
 Asymptotic behavior of multiperiodic functions, J. Fourier
Anal. and Appl., 4 (1998), 129150 (with A. Fan).
 L^{q}spectrum of the Bernoulli convolution associated with
the golden ratio, Studia Math., 131 (1998), 225251 (with S.M. Ngai).
 Embedding locally compact semigroups into groups,
Semigroup Forum, 56 (1998), 151156 (with J. Lawton, W.B. Zeng).
 Multifractal measures and a weak separation condition,
Advances in Math., 141 (1999), 4596 (with S.M. Ngai).
 Iterated function system and Ruelle operator, J. Math.
Anal. Appl., 231 (1999), 319344 (with A. Fan).
 Asymptotic regularity of Daubechies scaling functions, Proc.
AMS, 128 (1999), 10871095 (with Q. Sun).
 L^{q}spectrum of Bernoulli convolutions associated
with P.V. numbers, Osaka J. Math., 36 (4) (1999), 9931010 (with
S.M. Ngai).
 On the boundary of attractors with nonvoid interior, Proc.
AMS, 128 (1999), 17611768 (with Y. Xu).
 On the connectedness of selfaffine tiles, J. London Math.
Soc., (2) 62 (2000), 291304 (with I. Kirat).
 Iterated function systems with overlaps, Asian J. Math., 4
(2000), 527552 (with A. Fan and S.M. Ngai).
 Second order selfsimilar identities and multifractal
decompositions, Indiana U. Math. J., 49 (2000), 925972 (with S.M.
Ngai).
 Iterated function systems with overlaps and selfsimilar
measures, J. London Math. Soc., 63 (2001), 99116 (with S.M. Ngai and
H. Rao).
 L_{p}solution of refinement equations, J. Fourier Anal. and
Appl., 7 (2001), 143167 (with R. Jia and D.X. Zhou).
 Multifractal structure of the convolution of Cantor
measure, Adv. in Appl. Math., 27 (2001), 116 (with T. Hu).
 Measure representation and multifractal analysis of
complete genomes, Phy. Rev. E, 64, (2001), 0319031 to 0319039 (with
Z. Yu and V. Anh).
 Ruelle operator with nonexpansive IFS, Studia Math., 148
(2001), 143169 (with Y.L. Ye).
 Corrigendum to: iterated function system and Ruelle
operator, J. Math. Anal. Appl., 262 (2001), 446451 (with H. Rao and Y.
Ye).
 Multifractal characterization of complete genomes, Journal
of Physics A: Mathematical and General, 34 (2001), 71277139 (with Vo
Anh and ZuGuo Yu).
 Multifractal characterisation of length sequences of coding
and noncoding segments in a complete genome, Physica A, 301 (2001)
351361 (with ZuGuo Yu and Vo Anh).
 On the absolute continuity of a class of invariant
measures, Proc AMS, 130 (2001), 759767 (with T.Y. Hu and X.Y. Wang).
 Relationships between different dimensions of a measure,
Monatshefte Math., 135 (2002), 191201 (with A.H. Fan and H. Rao).
 Classification of integral expanding matrices and
selfaffine tiles, Discrete and Comp. Geometry, 28 (2002), 4973 (with
I. Kirat).
 The pressure function for products of nonnegative matrices,
Math. Research Letters, 9 (2002), 363378 (with D.J. Feng).
 Hausdorff dimension of random fractals with overlaps, Bull.
Aust. Math. Soc., 65 (2002), 315328. (with Z.G. Yu and V.V. ANH)
 Fourier asymptotics of Cantor type measures at
infinity, Proc AMS, 130 (2002), 27112717 (with T.Y. Hu).
 Ergodic limits on the conformal repellers, Advances in
Math., 169 (2002), 5891 (with D. Feng and J. Wu).
 Recognition of an organism from fragments of its complete
genome, Phy. Rev. E., 66 (2002), 031910, 19 (with V. Anh and Z.G. Yu).
 On onedimensional selfsimilar tilings and _{pq}tiles,
Tran AMS, 355 (2002), 14011414 (with H. Rao).
 Selfaffine sets and graphdirected systems, Constr. Appr.,
19 (2003), 373397 (with X.G. He and H. Rao).
 Cauchytransforms of selfsimilar measures: The Laurent
coefficients, J. Functional Anal., 202 (2003), 6797 (with X.H. Dong).
 Heat kernels on metric measure spaces and an application to
semilinear elliptic equations, Tran. AMS, 355 (2003), 20652093 (with
A. Grigoryan and J. Hu).
 Dimensions of the boundaries of selfsimilar sets,
Experimental Math., 12 (2003), 1326 (with S. Ngai).
 The genomic tree of living organisms based on a fractal
model, Physics Letters A, 317 (2003), 293302 (with ZuGuo Yu, V. Anh
and K.H. Chu).
 Multifractal and correlation analysis of protein sequences
from complete genome, Phy. Rev. E., 68 (2003), 021903, 110 (with Z.G. Yu and
V. Anh).
 Iterated function system and multifractal analysis of
biological sequences, International Journal of Modern Physics B, 17
(2003), 43674375 (with Z.G. Yu and V. Anh).
 Expanding polynomials and connectedness of selfaffine
tiles, Discrete & Comp. Geom., 31 (2004), 275286 (with I. Kirat
and H. Rao).
 Iterated function systems with a weak separation condition,
Studia Math., 161 (2004), 249268 (with X.Y. Wang).
 Characterization of tile digit sets with prime
determinants, Applied and Computational Harmonic Analysis, 16 (2004),
159173 (with X.G. He).
 Fractal analysis of measure representation of large
proteins based on the detailed HP model, Phy.,
337 (2004), 171184 (with Z.G. Yu and V. Anh).
 Chaos game representation of protein sequences based on the
detailed HP model and their multifractal and correlation analysis, J.
Th. Biology, 226 (2004), 341348 (with Z.G. Yu and V. Anh).
 An integral related to the Cauchy transform on the
Sierpinski gasket, Experimental Math, 13 (2004), 415419 (with X.H.
Dong).
 Wavelet decomposition of CalderónZygmund operators on
function spaces, J. Aust. Math. Soc., 77 (2004), 2946 (with L. Yan).
 Some exceptional phenomena in multifractal formalism:
Part I, Asian J. Math., 9 (2005), 275294 (with X.Y. Wang).
 Some exceptional phenomena in multifractal formalism:
Part II, Asian J. Math., 9 (2005), 473488 (with D.J. Feng and X.Y.
Wang).
 Equivalence conditions for ondiagonal upper bounds of heat
kernels on selfsimilar spaces, J. Functional Anal., 237 (2006),
427445 (with A. Grigoryan and J.X. Hu).
 Laplace operators related to selfsimilar measures on
R^{d}, J. Functional Anal., 239 (2006), 542565 (with J.X. Hu and
S.M. Ngai).
 A generalized finite type condition for iterated function
systems, Adv. Math., 208 (2007), 647671 (with S.M. Ngai).
 Disklikeness of planar selfaffine tiles, Tran Amer. Math.
Soc., 359 (2007), No. 7, 33373355 (with K.S. Leung).
 Obtaining upper bounds of heat kernels from lower bounds,
Comm. on Pure and Appl. Math., 61 (2008), 639660 (with A. Grigoryan
and J.X. Hu).
 On a generalized dimension of selfaffine fractals, Math.
Nachr., 281 (2008), 11421158 (with X.G. He).
 Open set condition and postcritically finite selfsimilar
sets, Nonlinearity, 21 (2008), 12271232 (with Q. Deng).
 Spectral property of the Bernoulli convolutions, Adv.
Math., 219 (2008), 554567 (with T.Y. Hu).
 Selfaffine measures and vectorvalued representations,
Studia Math., 188 (2008), 259286 (with Q. Deng & X.G. He).
 The spectrum of Poincaré recurrence, Ergod. Th. &
Dyn. Sys. 28 (2008), 19171943 (with L. Shu).
 Separation conditions for conformal iterated function
systems, Monatsh. Math., 156 (2009), 325355, (with S.M. Ngai and X.Y.
Wang).
 Selfsimilar sets as hyperbolic boundaries, Indiana U.
Math. J., 58 (2009), 17771795 (with X.Y. Wang).
 Multifractal formalism for selfsimilar measures with weak
separation condition, J. Math. Pures Appl., 92 (2009), 407428
(with D.J. Feng).
 Comparison inequalities for heat semigroups and heat kernels on metric measure spaces, J. Funct. Anal., 259 (2010) 26132641 (with A. Grigoryan
and J.X.Hu).
 On the WeylHeisenberg frames generated by simple functions, J. Funct. Anal., 261 (2011), 10101027 (with X.G. He).
 Connectedness of a class of planar selfaffine tiles, J. Math. Anal. Appl., 380 (2011), 493500 (with Q.R. Deng).
 Postcritically finite fractals and Martin boundary, Tran.
AMS (to appear) (with H. Ju and X.Y. Wang)
 Height reducinig property of polynomials and selfaffine tiles, Geom. Dedicate, to appear (with X.G. He and I. Kirat).
