$TU Clausthal$

Dynamical systems (Ergodic theory, Symbolic dynamics)
Geometric Measure theory (Dimension theory, Self-similar meausres)
Stochastics (Random walks)
Fractal Geomertry

Publications and Preprints

Algebraic curves with segments of points for which non-uniform self-similar measures get singular (pdf)
submitted, 2010.
On inhomogenous Bernoulli convolution and Markov geometric series (pdf)
Real Analysis Exchange, vol 36, no.1, 2010. (with A. Bisbas).
Li-York pairs of full Hausdorff dimension for some chaotic dynamical systems (pdf)
Mathematica Bohemica 135, no. 3, 179-189, 2010.
The weighted Moran formula for the dimension of generic McMullen-Bedford carpets (pdf)

Chaos, Solitons & Fractals, vol. 42, issue 2, 890-895, 2009.

A general result on absolute continuity of non-uniform self-similar measures on the real line (pdf)
Fractals, vol. 16, no. 4, 299-304, 2008 .
Random walks on infinite self-similar graphs (pdf)
Electronic Journal of Probability, vol.12, no. 46, 1258-1275, 2007.
Dimension theory for Linear Solenoids (pdf)
Fractals, vol. 15, no. 1, 63-72, 2007.
A construction of singular overlapping self-similar measures (pdf)
Acta Mathematica Hungarica, vol. 113 (4-4),333-343, 2006.
Multiscaling Behavior of Cascade measure –a short survey containing open problems (pdf).
Preprint, 2004.
Dimension theoretical properties of generalized Baker's transformations (pdf)
Nonlinearity 15, 1299-1307, 2002.
Number theoretical peculiarities in the dimension theory of dynamical systems (pdf)
Israel Journal of Mathematics 128, 267-283, 2002.
An isomorphism between polynomial eigenfunctions of the transfer operator and the Eichler cohomology for modular groups (pdf)
Mathematical Physics Electronic Journal, vol. 7, 1-18, 2001. (with D. Mayer)
Properties of some overlapping self-similar and some self-affine measures (pdf)
Acta Mathematica Hungarica, vol. 92 (1-2), 143-161, 2001.
Dimensional theoretical properties of affine dynamical systems (pdf)
DFG-Schwerpunktprogramm "`Dynamik: Analysis, effiziente Simulation und Ergodentheorie", vol. 5, 1-10, 2000.
Dimensional theoretical properties of some affine dynamical systems (pdf)
PhD Thesis, Free University Berlin, 1999.
A new class of counterexamples to the variational principle for Hausdorff dimension
DFG-Schwerpunktprogramm "Dynamik: Analysis, effiziente Simulation und Ergodentheorie", vol. 25, 1-15 1998.
Die Fat Baker's Transformation - Ein Gegenbeispiel zum Variationsprinzip der Hausdorff Dimension (pdf)
Diploma Thesis, Free University of Berlin, 1996.

Talks

Zufallswege auf unendlichen gewurzelten selbst-ähnlichen Graphen (pdf)
University Erlangen, 2010.
From number theory to dynamical systems via geometric measure theory (pdf)
Results on self-similar measures on the real line (pdf)
Conference "CODY Mid-term", England, 2009,
Conference "Fractal Geometry and Stochastics", Germany, 2008.
Der T-Test (pdf)
University Mainz, 2008.
Random walks on infinite self-similar graphs (pdf)
University Greifswald 2008,
Conference "Ergodic theory and dynamical systhems", Poland 2006,
Conference "Dynamical Systems", Czech Republic, 2006.
Einführung in die Dimensionstheorie Dynamischer Systeme
University Konstanz, 2003. (pdf)
Results on self-similar measure and applications (pdf)
University Greifswald, 2003,
University Koblenz, 2003.
Dimensions theory for Attractors of Solenoid-Typ (pdf)
DMV Conference, Germany, 2002,
University Hamburg, 2002.
An result on overlapping self-similar measures and its applications
University Lisbon, 2002.
Classical and Semiclassical trace formulae
University Clausthal, 2001.
A Douady-Oesterle type estimate for the Hausdorff dimension of invariant sets of piecewise smooth maps
Conference "Differential Equations and Application", Russia 2000,
University Dresden, 2000.
Erdös measures
University Clausthal, 2000.
Dimension theory of affine Systems,
University Clausthal, 2000,
Workshop "Dimension of attractors", University St. Petersburg, 1999.
University Dresden, 1999.
On the variational principle for Hausdorff dimension
University Dresden, 1999,
University Lisbon 1999.
Symbolic dynamics and its applications
Free University Berlin, 1999.
Properties of some self-similar and self-affine measures
Workshop "Around one dimensional dynamics", Banach Center Warszawa, 1997.