Papers to Appear
- Decomposition principle in
multiplicative chaos (with J. P. Kahane), Bull London Math. Soc.,
PS
(withdrawn--J. Barral told us that the same result was obtained by Waymire
E. C and Williams S. C. in their paper: Multiplicative cascades: dimension
spectra and dependence. Proceedings of the Conference in Honor of
Jean-Pierre Kahane (Orsay, 1993). J. Fourier Anal. Appl. 1995,
Special Issue, 589--609.)
- Covering numbers of
different points in Dvoretzky covering (with J. Barral),
Bull. Sci. Math., PS
- Asymptotic Hausdorff
dimensions of Cantor sets associated with an asymptoticly non-hyperbolic
family (with Y. P. Jiang and J. Wu), Ergod. Th. Dynam.
Syst., PS
Recent Published
Papers
- Densities of some Poisson
T-martingales and random covering numbers (with
Julien Barral),
Comptes Rendus Mathematique,
Volume 338, Issue 7, (2004), 571-574
PS
- Products of
non-stationary random matrices and multiperiodic equations of several scaling
factors (with Benoit Saussol, Joerg Schmeling), Pacific J. Math.
214 (2004), 31--54. PS
- On the covering by small
random intervals (with Jun
Wu), Ann. Inst. H. Poincaré Probab.
Statist., 40 (2004), 125--131. PS
- $\epsilon$-Pisot numbers in any real algebraic
number field are relatively dense (with Joerg Schmeling), J. Algebra 272 (2004), no. 2, 470--475. PS
- Metric properties and
exceptional sets of the Oppenheim expansions over the field of Laurent
series(with J. Wu), Constructive
Approximation, PS
- Some topics in the
theory of multiplicative chaos, Progress in Probability, No 57, Ed.
Ch. Bandt, M. Zaehle ad U. Mosco, pp 119-134 PS.
- Level sets of \beta-expansios (With H. Zhu),Comptes Rendus Mathematique, Volume 339,
Issue 10, (2004), 709-712 PS
- Limsup
deviations on trees, PS
- Approximation orders of
formal Laurent series by Oppenheim rational functions (with Jun Wu), J.
Approx. Theory 121 (2003), 269--286. PS
- Sur une inégalité de
Littlewood-Salem (with Schneider, Dominique), Ann. Inst. H.
Poincaré Probab. Statist. 39 (2003), 193--216. PS
- On fast Birkhoff
averaging (with Joerg Schmeling), Math. Proc.
Camb. Phil. Soc., vol. 135 no. 3 (2003), 443--467 PS
- How many intervals cover a
point in Dvoretzky covering? Israel J. Math. 131
(2002), 157--184. PS
- On Markov-Mandelbrot
martingales J.
Math. Pures Appli., 81 (2002), 967-982 PDF
PS
- Asymptotic behaviour of multiperiodic functions
scaled by Pisot numbers
J. Anal. Math., Vol. 86, (2002), 271--287
PS
- Relations between different dimensions of a
measure(with K. S. Lau and H. Rao)
Mh. Math., 135 (2002),191-201
PS
- On Ruelle-Perron-Frobenius operators I (with Y. P. Jiang), Commun. Math. Phys. , Vol.
223, Issue 1, (2001) 125-141
PDF
- On Ruelle-Perron-Frobenius operators I
I(with Y. P. Jiang), Commun. Math. Phys.
, Vol. 223, Issue 1, (2001) 143-159 PDF
- Recurrence, Dimension
and Entropy (with D. J. Feng and J. Wu), J. London Math.
Soc., (2) 64 (2001), 229-244. PDF
- Regularity of
Butterworth refinable functions (with Q. Y.
Sun), Asian J. Math., Vol. 5, no. 3 (2001),
433-440PS
- How many intervals
cover a point in random dyadic covering ? (with J.P.Kahane),
Portugaliae Mathematica, Vol. 58 Fasc. 1 (2001), 59-75. PS
- Individual behaviors
of oriented walks, Stochastic Proc. Appl., 90 (2000),
263-275. PDF
- Non-homogeneous
equilibrium states and convergence speeds of averaging operators,
Math. Proc. Camb. Phil. Soc., 129 (2000), 99-115 (with M. Pollicott) PDF
- On the distribution of
long-term time averages on symbolic space, J. Stat. Phys. , vol.
99, Nos.3/4 (2000), 813-856 (with D. J. Feng) PS
- Multifractal spectrum
for some random Gibbs measures, Stat. Prob. Let., 47 (2000), 25-31
(with N.R. Shieh) PS
- Iterated function
systems with overlaps (with K.S. Lau and S.M. Ngai), Asian J.
Math.,4 (2000),527-552, PS
- Liapunov exponents,
dual Liapunov exponents and multifractal analysis, Chaos , vol. 9,
No.4 (1999), 849-953 (with Y. P. Jiang) PS
- Iterated function
systems and Ruelle operators, J. Math. Anal.Appl. , 231 (1999),
319-344 (with K. S. Lau) PS
- Decay of correlations
of expanding toral endomorphisms in ? Proc. Internal. Dyn. Conf.,
Beijing ?, World Scientic, 1999, 29-40. PS
- Generalized
equilibrium states and behavior of averaging operators, C.R. Acad.
Sci., Paris t. 327, série I (1998), 547-552 (with Mark Pollicott) PS
- Analyse multifractale
de la récurrence sur l'espace symbolique, C.R. Acad. Sci., Paris t.
327, série I (1998), 629-632 (with De Jun Feng) PS
- Moyenne de
localisation fréquentielle des paquets d'ondelettes, Revista
Mathematica Iberoamericana, Vol.14, No.1 (1998), 63-70. PS
- Asymptotic behaviors
of multiperiodic functions $G(x) = \prod_{n=1}^\infty g(x/2^n x)$,
J. Fourier Anal.Appl. Vol. 4, No 2 (1998), 129-150 (with K.S. Lau). PS
- Gibbs measures and
some related topics, in Trends in Probability and related analysis,
ed. N. Kono and N.R. Shieh, World Scientific (1997), 117-128. PS
- Chains of morkovian
projectionss and (G, \Gamma)-measures, in Trends in Probability and
related analysis, ed. N. Kono and N.R. Shieh, World Scientific (1997), 101-116
(joint with A.H. Dooley) PS
- Multifractal analysis
of infinite products, J. Stat. Phys., Vol.86, Nos 5/6, (1997),
1313-1336 PS
- A refinement of an
ergodic theorem and its applications to Hardy functions, C. R.
Acad. Sci., Paris, Sér.I. 325 (1997), 145-150. PS
- Sur le chaos de Lévy
d'indice $0 <\alpha <1$, Ann. Sc. Math. Québec, Vol.21, N¡ã1
(1997), 53-66. PS
- Ergodicity,
unidimensionality and multifractality of self-similar measures,
Kyushu J. Math., 50 (1996), 541-574. PS
- On uniqueness of
$G$-measures and $g$-measures, Studia Math., 119 (3) (1996),
255-269. PS
Others