MATHEMATICS
of  DR. JÖRG NEUNHÄUSERER

Schöne Sätze der MathematikMathematische Begriffe in Beispieln und Bildern

Review                                                                           

RESEARCH INTERESTS

Dynamical systems (Ergodic theory, Symbolic dynamics)
Geometric measure theory (Dimension theory, Self-similar measures)
Stochastic
(Random walks)
Fractal Geometry

REFEREED ARTICLES 

20. Continued logarithm representation of real numbers (pdf)
Real Analysis Exchange, 2017.
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)
Chaos, Solitons & Fractals, vol. 42,  issue 2, 890-895, 2009.
8.  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 .
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.

PREPRINTS

Random walks on Z with exponentially increasing step length and Bernoulli convolutions (pdf)
submitted, 2017.
Singular Bernoulli convolutions for non-Pisot numbers
(pdf)
to be revised, 2017

REPORTS 

Dimensional theoretical properties of affine dynamical systems
(pdf)
DFG-Schwerpunktprogramm "`Dynamik: Analysis, effiziente Simulation und Ergodentheorie", vol. 5, 1-10, 2000.
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.

THESIS

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.

TALKS

Multifractal analysis of self similar measures (pdf)
Dimension theory of representations of real numbers

Queen Mary University of London, 2015. (pdf)
Leuphana University Lüneburg, 2014.  (pdf)
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.

TEACHING
Probability theory and statistic
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.

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