"A Fréchet law and an Erdõs-Philipp law for maximal cuspidal windings"
(with Johannes
Jaerisch,
Bernd O. Stratmann)
to appear in Ergodic Theory
Dynamical Systems,
doi:10.1017/S0143385712000235
"Multiresolution
analysis for Markov Interval Maps
" (with Jana
Bohnstengel)
to appear in Numerical Functional Analysis and Optimization,
doi:10.1080/01630563.2012.682126
"Fractal curvature measures and Minkowski content for self-conformal subsets of the real line"
(with S. Kombrink)
to appear in Advances
in Mathematics (2012).
doi:
"Spectral
metric spaces for Gibbs measures
" (with T.
Samuel)
"Induced topological pressure for countable state Markov shifts
" (with J.
Jaerisch, Sanaz Lamei)
"A dichotomy between uniform distributions of the Stern-Brocot and the Farey sequence"
(with Bernd O. Stratmann)
(pdf)
Uniform
Distribution Theory, 7
(2012), no. 2.
"Strong renewal theorems and Lyapunov spectra for &alpha-Farey and &alpha-Lüroth systems"
(with Sara Munday and Bernd O. Stratmann)
(pdf)
Ergodic Theory
Dynamical Systems
(first
view),
doi:10.1017/S0143385711000186
"Large deviations asymptotics for large waiting times"
(with Lidong Tang) (pdf)
"A note on the
algebraic growth rate of Poincaré series for Kleinian groups" (with Bernd O. Stratmann)
(pdf)
Contributions to Analytic and Algebraic Number Theory -
Festschrift for S. J. Patterson, Series: Springer Proceedings in Mathematics 9,
Blomer, Valentin; Mihãilescu, Preda (Eds.) (2012), 237-245. doi:10.1007/978-1-4614-1219-9_10
"Wavelets for iterated function systems "
(with Jana
Bohnstengel) (pdf)
Journal of Functional Analysis 259 (2010), no. 3,
583-601. doi:10.1016/j.jfa.2010.04.014
-
"Regularity of multifractal spectra of conformal iterated function
systems " (with Johannes
Jaerisch) (pdf)
Trans. Amer. Math. Soc. 363 (2011),
no. 1, 313-330. doi:10.1090/S0002-9947-2010-05326-7
-
"On the
Lebesgue measure of sum-level sets for continued fractions" (with Bernd O. Stratmann)
(pdf)
Discrete
and Continuous Dynamical Systems. Series A 32 (2012), no. 7, 2437-2451. doi:10.3934/dcds.2012.32.2437
"The
arithmetic-geometric scaling spectrum for continued fractions"
(with Johannes
Jaerisch) (pdf)
Arkiv för Matematik
48 (2010), no. 2, 335-360. doi:10.1007/s11512-009-0102-8
-
"Sets
of non-differentiability for conjugacies between expanding
interval maps" (with Thomas M. Jordan, Mark Pollicott and Bernd
O. Stratmann),
(pdf)
Fundamenta Mathematicae, 206 (2009), 161-183.
doi:10.4064/fm206-0-10
-
"Hölder-differentiability of Gibbs distribution functions"
(with Bernd
O. Stratmann) Oberwolfach Preprints (2007), (pdf)
Math. Proc. Camb. Phil. Soc. 147 (2009) no. 2, 489-503. doi:10.1017/S0305004109002473
-
"Fractal analysis for sets of non-differentiability of Minkowski's
question mark function" (with Bernd
O. Stratmann)
Journal of Number Theory 128 (2008), 2663-2686. (ps) (pdf),
doi:10.1016/j.jnt.2007.12.010
-
"Large
deviation asymptotics for
continued fraction expansions" (with Mehdi Slassi) (ps)
(pdf),
Stochastics and
Dynamics 8 (2008), no. 1, 103-113, doi:10.1142/S0219493708002226
-
"Higher-dimensional multifractal value sets for conformal infinite graph directed Markov
systems"
(with Mariusz
Urbanski) (ps) (pdf)
Nonlinearity 20 (2007), no. 8, 1969-1985, doi:10.1088/0951-7715/20/8/009
-
"Limit laws
for distorted critical waiting time processes in infinite ergodic theory"
(with Mehdi Slassi)
(ps) (pdf)
Stochastics and Dynamics 7 (2007), no. 1, 103-121. doi:10.1142/S0219493707001962
title of preprint:
Critical waiting time processes in infinite ergodic theory
and
(ps) (dvi) (pdf)
-
"Homology at
infinity; fractal geometry of limiting symbols for modular groups"
(with Bernd
O. Stratmann) (ps) (pdf)
Topology 46 (2007) no. 5, 469-491, doi:10.1016/j.top.2007.03.004
title of preprint:
Limiting modular
symbols and their fractal geometry
-
"Refined measurable rigidity and flexibility for conformal
iterated function systems" (with Bernd
O. Stratmann) (arXiv)
New York J. Math. 14 (2008), 33-51.
-
"Lyapunov spectra for KMS states on Cuntz-Krieger algebras"
(with Manuel
Stadlbauer and Bernd
O. Stratmann)
(ps) (pdf) arXiv
Mathematische Zeitschrift 256 (2007), no. 4, 871-893.
doi:10.1007/s00209-007-0110-y.
-
"A
distributional limit law for the
continued fraction digit sum" (with Mehdi Slassi) (ps) (pdf)
Mathematische
Nachrichten 281 (2008), no. 9, 1294-1306. doi:10.1002/mana.200510679
-
"Stability of quantization dimension and quantization for homogeneous Cantor measures"
(with Sanguo Zhu)
(ps) (pdf) (dvi)
Mathematische Nachrichten 280 (2007), no. 8,
866-881. doi:10.1002/mana.200410519.
-
"Dimension sets for infinite
IFSs: The Texan Conjecture" (with Sanguo Zhu)
(ps)
(pdf)
(dvi)
Journal of Number Theory 116 (2006), no. 1, 230 - 246. doi:10.1016/j.jnt.2005.04.002
-
" A multifractal analysis for Stern-Brocot
intervals, continued fractions
and Diophantine growth rates" (with Bernd
O. Stratmann) (ps) (pdf)
Journal für
die reine und angewandte Mathematik (Crelle's Journal) 605
(2007), 133-163, 10.1515/CRELLE.2007.029.
-
"Stern-Brocot Pressure and Multifractal
Spectra in Ergodic Theory of Numbers " (with Bernd
O. Stratmann)
(ps)
(pdf)
Stochastics and Dynamics 4 (2004), no. 1, 77-84. doi:10.1142/S0219493704000948
-
"Quantization dimension via quantization
numbers" (with Sanguo
Zhu) (ps) (pdf)
Real Analysis Exchange
29 (2003/04), no. 2, 857-866.
-
"A multifractal formalism for growth rates and applications to geometrically finite Kleinian groups"
(with
Bernd O. Stratmann)
(ps)
(pdf)
(ps.Z)
Ergodic Theory Dynamical Systems 24 (2004), no. 1, 141-170. doi:10.1017/S0143385703000282
-
"Thermodynamic
Formalism, Large Deviation, and Multifractals" (with
Manfred Denker)
(ps) (pdf)
(ps.Z)
Stochastic climate models (Chorin,
1999), 159-169, Progr. Probab., 49, Birkhäuser, Basel,
2001.
-
"Large deviation for weak Gibbs measures and multifractal spectra"
(ps) (pdf)
(ps.Z)
Nonlinearity 14 (2001), no. 2, 395-409. doi:10.1088/0951-7715/14/2/312
-
"Multifraktale und Asymptotiken großer
Deviationen", Dissertation
1999.
(ps) (pdf)
(ps.Z)
-
"Poissonsche Gesetze im thermodynamischen
Formalismus", Diplomarbeit 1996. (ps) (pdf)
(ps.Z)