Marc Kesseböhmer

AG Dynamische Systeme und Geometrie

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Preprints & Publications

• "A Fréchet law and an Erdős-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; Mihăilescu, 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) 

Dissertations

• Quantization for probability measures / Zhu, Sanguo (2005)
• Distributionale Konvergenzsätze in unendlicher Ergodentheorie / Mehdi Slassi (2006)
• Gleichgewichts- und Gibbs-Maße für zelluläre Automaten / Thomas d'Hénin (2009)
• Thermodynamic Formalism for Group-Extended Markov Systems with Applications to Fuchsian Groups / Johannes Jaerisch (2011)
• Wavelet and Fourier bases on fractals / Jana Bohnstengel (2011)
• Fractal Curvature Measures and Minkowski Content for Limit Sets of Conformal Function Systems / Sabrina Kombrink (2011)