Lower Saxony Professorship, Institute of Theoretical Physics

Dynamical Systems, Automorphic Spectral Theory and Number Theory


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Preprints

2012

Habibulla Akhadkulov, Akhtam Dzhalilov, Dieter Mayer
On conjugations of circle homeomorphisms with two break points
download: pdf
Roelof Bruggeman, Markus Fraczek, Dieter Mayer
Perturbation of zeros of the Selberg zeta-function
download: pdf
Roelof Bruggeman, Markus Fraczek, Dieter Mayer
Additional Remarks on Automorphic Forms
download: pdf

2011

Markus Fraczek, Dieter Mayer
Symmetries of the transfer operator for Gamma_0(N) and a character deformation of the Selberg zeta function for Gamma_0(4)
download: pdf
Dieter Mayer
Behaviour of the zeros of the Selberg zeta function for \Gamma_0(4) under a character deformation
Notes of presentation given in Peyresq, May 2011
download: pdf
U. Vincent, A. Kenfack, D. Senthilkumar, Dieter Mayer, J. Kürths
Collective transports in two elastically coupled inertia ratchets
download: pdf

2010

Akhtam Dzhalilov, Dieter Mayer, U. Safarov
Piecewise-smooth circle homeomorphisms with several break points
download: pdf
H. Akhadkulov, Akhtam Dzhalilov, Dieter Mayer
Absolute Continuity of Invariant Measures of Circle Homeomorphisms with Corners
download: pdf
U. Vincent, O. Olusola, Dieter Mayer, P. McClintock
Controlling current reversals in synchronized underdamped ratchets
download: pdf
U. Vincent, A. Kenfack, D. Senthilkumar, Dieter Mayer, J. Kürths
Current Reversals and Synchronization in Coupled Ratchets
download: pdf

2009

Akhtam Dzhalilov, Isabelle Liousse, Dieter Mayer
Singular measures of piecewiese smooth circle homeomorphisms with two break points
download: pdf
Dieter Mayer
Hurwitz-Nakada continued fraction and the transfer operator for Hecke triangle groups
Notes of presentation given in Denton, May 2009
download: pdf
Dieter Mayer
Character deformations of the zero's of the Selberg's zeta function for $\Gamma_0(4)$ via transfer operstors
Notes of presentation given in Marseille, January 2009
download: pdf
Dieter Mayer, Tobias Mühlenbruch
Nearest $\lambda_q$-multiple fractions
download: pdf
Dieter Mayer, Tobias Mühlenbruch, Fredrik Strömberg
The transfer operator for the Hecke triangle groups
download: pdf
Dieter Mayer, Fredrik Strömberg
Symbolic dynamics for the geodesic flow on Hecke surfaces
download: pdf

2008

Arash Momeni, Alexei Venkov
An application of Jacquet-Langlands correspondence to transfer operators for geodesic flows on Riemann surfaces
download: pdf
Fredrik Strömberg
Computation of Selberg zeta functions on Hecke triangle groups
download: pdf
Fredrik Strömberg
Computation of Maass Waveforms with Non-Trivial Multiplier Systems
download: pdf

2006

Markus Fraczek
Spezielle Eigenfunktionen des Transfer-Operators für Hecke Kongruenz Untergruppen, Diploma-Thesis
download: pdf
Markus Fraczek, Dieter Mayer, Tobias Mühlenbruch
A realization of the Hecke algebra on the space of period functions for Gamma_0(n)
download: ps, pdf (version 28-08-2006)
Dieter Mayer
The transfer operator of Rosen´s lambda expansion and period functions fo the Hecke triangle groups
Notes of presentation given in London, February 2006
download: pdf
Dieter Mayer
The transfer operator approach to quantum chaos on modular surfaces
Notes of a presentation given in Durham, July 2006
download: pdf

2005

Tobias Mühlenbruch
Hecke operators on period functions for $\Gamma_0{n}$
download: pdf, ps

2004

Tobias Mühlenbruch
Hecke operators on period functions for the full modular group
download: pdf, ps

2002

Joachim Hilgert, Dieter Mayer
Transfer operators and dynamical zeta functions for a class of lattice spin models
download: ps

2001

Stefan-M. Heinemann, Bernd O. Stratmann
Hausdorff Dimension 2 for Julia Sets of Quadratic Polynomials
Mathematische Zeitschrift (2001)
download: abstract (external link)
Stefan-M. Heinemann, Mariusz Urbanski
Hausdorff Dimension Estimates for Infinite Conformal Iterated Function Systems
download: ps.gz, ps
Joachim Hilgert, Dieter Mayer
The dynamical zeta function and transfer operators for the Kac-Baker model
download: ps
Aleksander L. Owczarek, Thomas Prellberg
Scaling of Self-Avoiding Walks in High Dimensions
download: ps.gz, ps
Thomas Prellberg
Complete Determination of the Spectrum of a Transfer Operator associated with Intermittency
download: ps.gz, ps
Thomas Prellberg
Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions
download: ps.gz, ps
Thomas Prellberg, Aleksander L. Owczarek
Four-dimensional polymer collapse II:
Interacting self-avoiding trails
download: ps.gz, ps
Thomas Prellberg, Aleksander L. Owczarek
Pseudo-First-Order Transition in Interacting Self-avoiding Walks and Trails
download: ps.gz, ps

2000

Manfred Denker, Mikhail Gordin, Stefan-M. Heinemann
On the Relative Variational Principle for Fibre Expanding Maps
download: ps.gz, ps
Stefan-M. Heinemann, Oliver Schmitt
Rokhlin's Lemma for Non-Invertible Maps
download: ps.gz, ps
Stefan-M. Heinemann, Bernd O. Stratmann
Geometric Exponents for Hyperbolic Julia Sets
download: ps.gz, ps
M. Cristina Marchetti, A. Alan Middleton, Thomas Prellberg
Viscoelastic Depinning of Driven Systems. Mean-Field Plastic Scallops
download: ps
Thomas Prellberg
On the Asymptotics of Takeuchi Numbers
download: ps.gz, ps
Thomas Prellberg, Barbara Drossel
Winding angles for two-dimensional polymers with orientation
download: ps.gz, ps
Thomas Prellberg, Aleksander L. Owczarek
Four-dimensional polymer collapse: Pseudo-First-Order Transition in Interacting Self-avoiding Walks
download: ps.gz, ps

1999

Cheng-Hung Chang, Dieter Mayer
The Transfer Operator Approach to Selberg's Zeta Function and Modular and Maass Wave Forms for PSL(2,Z)
download: ps.gz, ps
Aleksander L. Owczarek, Thomas Prellberg
First-order scaling near a second-order phase transition: Tricritical polymer collapse
download: ps.gz, ps

1998

Cheng-Hung Chang, Dieter Mayer
The period Function of the nonholomorphic Eisenstein series for PSL(2,Z)
download: ps.gz, ps

1997

Barbara Drossel, Thomas Prellberg
Dynamics of a single particle in a horizontally shaken box
download: ps.gz, ps

other

Cheng-Hung Chang
The Transfer Operator: From Statistical Mechanics to Quantum Chaos
download: ps.gz, ps
Cheng-Hung Chang, Dieter Mayer
Thermodynamic Formalism and Selberg's Zeta Function for Modular Groups
download: ps.gz, ps
Cheng-Hung Chang, Dieter Mayer
Eigenfunctions of the Transfer Operators and the Period Functions for Modular Groups
download: ps.gz, ps
Cheng-Hung Chang, Dieter Mayer
Transfer Operators and Period Functions for Subgroups of PSL(2,Z)
download: ps.gz, ps
Cheng-Hung Chang, Dieter Mayer
An Extension of the Thermodynamic Formalism Approach to Selberg's Zeta Function for General Modular Groups
download: ps.gz, ps
Manfred Denker, Stefan-M. Heinemann
Polynomial Skew Products
download: ps.gz, ps
Partha Guha
Projective Structure and Integrable Geodesic Flows on the Extension of Bott-Virasoro Group
download: ps.gz, ps
Partha Guha
Projective Connections, AGD Manifold and Integrable Systems
download: ps.gz,ps
Joachim Hilgert, Dieter Mayer, Hossein Movasati
Transfer operator for Gamma_0(n) and the Hecke operators for the period functions of PSL(2,Z)
download: ps
Dieter Mayer
Transfer operators, the Selberg-zeta function and Lewis-Zagier theory of period functions
Lecture notes of a course given in Günzburg
download: ps
Dieter Mayer, Jörg Neunhäuserer
An isomorphism between polynomial eigenfunctions of the transfer operator and the Eichler cohomology for modular groups
download: ps.gz, ps
Dieter Mayer, Tobias Mühlenbruch
From the transfer operator for geodesic flows on modular surfaces to the Hecke operators on period functions of Gamma_0(n)
download: pdf, ps
Tobias Mühlenbruch
Hecke operators for period functions for congruence subgroups
download: pdf, ps
Jörg Neunhäuserer
Number theoretical peculiarities in the dimension theory of dynamical systems
download: ps.gz, ps
Jörg Neunhäuserer
Properties of some overlapping self-similar and some self-affine measures
download: ps.gz, ps
Jörg Neunhäuserer
A Douady-Oesterlé type estimate for the Hausdorff dimension of invariant sets of piecwise smooth maps
download: ps.gz, ps
Jörg Neunhäuserer
Dimension theoretical properties of generalized Baker's Transformations
download: ps.gz, ps

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