Mathematics of Dr. Jörg Neunhäuserer

Calculation and approximation of invariant densities (37C40)
Infinite self-similar and self-affine carpets (28A80)
Representations of real numbers / generalized continued fractions (11K55)

27. Expansions of real numbers with respect to two integer bases (pdf)
to appear: Rocky Mountain Journal of Mathematics, 2024.
26. Representations of real numbers induced by probability distributions on $\mathbb{N}$ (pdf)
Tatra Mt. Math. Publ. 81, 1–8, 2022.
25. On the universality of Somos' consstant (pdf)
Elemente der Mathematik, 77, 138-141, 2022.
24. Non-uniform expansions of real numbers (pdf)
Mediterranean Journal of Mathematics, 18 (2), 1-8, 2021.
23. Random walks on Z with exponentially increasing step length and Bernoulli convolutions (pdf)
Rocky Mountain Journal of Mathematics, vol 49, no. 6, 1993-2003, 2019.
22. Fractal attractors induced by $\beta$-shifts (pdf)
Chaos, Solitons & Fractals, vol 123, 87-90, 2019.
21. Dimensional theoretical results for a family generalized continued fractions (pdf)
Bulletin Polish Acad. Sci. Math, vol 66, no. 2, 115-122, 2018.
20. Continued logarithm representation of real numbers (pdf)
Real Analysis Exchange, vol 42, no.1, 57-66, 2018.
19. Return of Fibonacci walks (pdf)
Statistics and Probability Letters, vol. 121, 51-53, 2017.
18. Nonuniform Markov geometric measures (pdf)
Communication in Mathematical Analysis, vol. 18, no. 1, 36–47, 2015.
17. Multifractality of overlapping non-uniform self-similar measures (pdf)
Monatshefte für Mathematik, vol. 177, issue 3, 461-468, 2015.
16. Geometric series with randomly increasing exponents (pdf)
Archiv der Mathematik, vol. 102, no. 3, 283-291, 2014.
15. Absolutely continuous random power series in reciprocals of Pisot numbers (pdf)
Statistics and Probability Letters, vol. 83, issue 2, 431–435, 2013.
14. Dimension estimates for certain sets of infinite complex continued fractions (pdf)
Journal of Mathematics, vol. 2013, 1-5, 2013.
13. On the Hausdorff dimension of fractals given by certain expansions of real numbers (pdf)
Archiv der Mathematik, vol. 97, no. 5, 459-466, 2011.
12. A family of exceptional parameters for non-uniform self-similar measures (pdf)
Electronic Communications in Probability, vol. 16, 192-199, 2011.
11. On inhomogeneous Bernoulli convolution and random power series (pdf)
Real Analysis Exchange, vol 36, no.1, 213-222, 2011. (with A. Bisbas).
10. Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems (pdf)
Mathematica Bohemica, 135, no. 3, 279–289, 2010.
9. The weighted Moran formula for the dimension of generic McMullen-Bedford carpets (pdf)

Fractals, vol. 16, no. 4, 299-304, 2008 .
7. Random walks on infinite self-similar graphs (pdf)
Electronic Journal of Probability, vol.12, no. 46, 1258-1275, 2007.
6. Dimension theory for linear solenoids (pdf)
Fractals, vol. 15, no. 1, 63-72, 2007.
5. A construction of singular overlapping self-similar measures (pdf)
Acta Mathematica Hungarica, vol. 113 (4-4),333-343, 2006.
4. Dimension theoretical properties of generalized Baker's transformations (pdf)
Nonlinearity 15, 1299-1307, 2002.
3. Number theoretical peculiarities in the dimension theory of dynamical systems (pdf)
Israel Journal of Mathematics 128, 267-283, 2002.
2. 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)
1. 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 some affine dynamical systems (pdf)
PhD Thesis, Free University Berlin, 1999.
Die Fat Baker's Transformation - Ein Gegenbeispiel zum Variationsprinzip der Hausdorff Dimension (pdf)
Diploma Thesis, Free University of Berlin, 1996.

Dimension theory of representations of real numbers
University Braunschweig, 2019. (pdf)
Ernst-Abbe-Hochschule Jena, 2018. (pdf)
Queen Mary University of London, 2015. (pdf)
Leuphana University Lüneburg, 2014. (pdf)
Multifractal analysis of self similar measures (pdf)
Die Methode der kleinsten Quadrate (pdf)
Ernst-Abbe-Hochschule Jena, 2018.
About Li-Yorke chaos from a dimensional theoretical perspective (pdf)
Symposium on Ergodic Theory and Dynamical Systems, England, 2012.
Visegrad Conference, Slovakia, 2011.
Elementare Zeitreihenanalyse (pdf)
HTW Berlin, 2011.
From number theory to dynamical systems via geometric measure theory (pdf)
Queen Mary University of London, 2010.
Zufallswege auf unendlichen gewurzelten selbst-ähnlichen Graphen (pdf)
University Erlangen-Nürnberg, 2010.
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 (pdf)
University Konstanz, 2003.
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.

Probability theory and numerics
Lecture, HAWK Göttingen, 2023/24.
Advanced calculus
Lecture, HAWK Göttingen, 2023/24.
Algorithms
Lecture, HAWK Göttingen, 2023.
Probability theory and numerics
Lecture, HAWK Göttingen, 2022/23.
Advanced calculus
Lecture, HAWK Göttingen, 2022/23.
Introduction to the philsophy of mathematics
Lecture, Technical University Braunschweig, 2022.
Beautiful mathematical theorems - an overview -
Lecture, Technical University Braunschweig, 2021/22.
Introduction to the philsophy of mathematics
Lecture, Technical University Braunschweig, 2021.
Beautiful mathematical theorems - an overview -
Lecture, Technical University Braunschweig, 2020/21.
Probability theory and statistic
Lecture, Leibniz University Hannover, 2017/18.
Lecture, Leibniz University Hannover, 2017.
Lecture, Leibniz University Hannover, 2016/17.
Lecture, Leibniz University Hannover, 2016.
Analysis I
Lecture, Leuphana University Lüneburg, 2015.
Fractal geometry
Lecture, Leuphana University Lüneburg, 2015.
History and philosphy of Mathematics
Lecture, Leuphana University Lüneburg, 2015
Beautiful mathematical theorems – an overview -
Lecture, Leuphana University Lüneburg, 2015
Cryptography
Lecture, Leuphana University Lüneburg, 2014/15
Linear Algebra
Lecture, Leuphana University Lüneburg, 2014/15
Topology
Lecture, Leuphana University Lüneburg, 2014/15
Analysis III
Lecture, Leuphana University Lüneburg, 2014/15
Fractal geometry
Lecture, Leuphana University Lüneburg, 2014.
Algebraic curves
Lecture, Leuphana University Lüneburg, 2014.
Dynamical systems
Lecture, Leuphana University Lüneburg, 2014.
Topology and Functionalanalysis
Lecture, Leuphana University Lüneburg, 2014.
Probability theory and cryptography
Lecture, University of Apllied Science Berlin, 2011/2012.
Lecture, University of Apllied Science Berlin, 2010/2011.
Lecture, University of Apllied Science Berlin, 2009/2010.
Lecture, University of Apllied Science Berlin, 2008/2009.
Lecture, University of Apllied Science Berlin, 2006/2007.
Linear Algebra
Lecture, University of Apllied Science Berlin, 2011.
Mathematics for economist and chemist II
Lecture, University Clausthal, 2010.
Mathematics for economist and chemist I
Lecture, University Clausthal, 2009/2010.
Analysis
Lecture, University of Apllied Science Berlin, 2008/2009.
Mathematics for technicians
Lecture, University of Apllied Science Berlin, 2008.
Mathematics for engineers
Lecture, University of Apllied Science Berlin, 2007/2008.
Mathematics for compuer scientists
Lecture, University of Apllied Science Berlin, 2007.
Lecture, University of Apllied Science Berlin, 2006.
Discrete mathematics
Lecture, University of Apllied Science Berlin, 2005/2006.
Mathematics and Physics
Courses, High School Hamburg, 2004 /2005 .
Introduction to dynamical systems
Lecture, University Clausthal, 2002.
Dimsion theory
Lecture, University Clausthal, 2001/2002.
Ergodic theory
Lecture, University Dreden, 2000.
Statistic
Courses, Free University Berlin, 1995.
Linear Algebra I/II
Courses, Free Uinversity Berlin, 1993/94.
Analysis I-III
Courses, Free University Berlin, 1992/93