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)

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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

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U. Vincent, A. Kenfack, D. Senthilkumar, Dieter Mayer, J. Kürths

Collective transports in two elastically coupled inertia ratchets

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2010

Akhtam Dzhalilov, Dieter Mayer, U. Safarov

Piecewise-smooth circle homeomorphisms with several break points

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H. Akhadkulov, Akhtam Dzhalilov, Dieter Mayer

Absolute Continuity of Invariant Measures of Circle Homeomorphisms with Corners

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U. Vincent, O. Olusola, Dieter Mayer, P. McClintock

Controlling current reversals in synchronized underdamped ratchets

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U. Vincent, A. Kenfack, D. Senthilkumar, Dieter Mayer, J. Kürths

Current Reversals and Synchronization in Coupled Ratchets

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2009

Akhtam Dzhalilov, Isabelle Liousse, Dieter Mayer

Singular measures of piecewiese smooth circle homeomorphisms with two break points

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Dieter Mayer

Hurwitz-Nakada continued fraction and the transfer operator for Hecke triangle groups

Notes of presentation given in Denton, May 2009

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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

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Dieter Mayer, Tobias Mühlenbruch

Nearest $\lambda_q$-multiple fractions

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Dieter Mayer, Tobias Mühlenbruch, Fredrik Strömberg

The transfer operator for the Hecke triangle groups

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Dieter Mayer, Fredrik Strömberg

Symbolic dynamics for the geodesic flow on Hecke surfaces

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2008

Arash Momeni, Alexei Venkov

An application of Jacquet-Langlands correspondence to transfer operators for geodesic flows on Riemann surfaces

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Fredrik Strömberg

Computation of Selberg zeta functions on Hecke triangle groups

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Fredrik Strömberg

Computation of Maass Waveforms with Non-Trivial Multiplier Systems

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2006

Markus Fraczek

Spezielle Eigenfunktionen des Transfer-Operators für Hecke Kongruenz Untergruppen, Diploma-Thesis

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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

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Dieter Mayer

The transfer operator approach to quantum chaos on modular surfaces

Notes of a presentation given in Durham, July 2006

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2005

Tobias Mühlenbruch

Hecke operators on period functions for $\Gamma_0{n}$

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2004

Tobias Mühlenbruch

Hecke operators on period functions for the full modular group

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2002

Joachim Hilgert, Dieter Mayer

Transfer operators and dynamical zeta functions for a class of lattice spin models

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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

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Joachim Hilgert, Dieter Mayer

The dynamical zeta function and transfer operators for the Kac-Baker model

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Aleksander L. Owczarek, Thomas Prellberg

Scaling of Self-Avoiding Walks in High Dimensions

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Thomas Prellberg

Complete Determination of the Spectrum of a Transfer Operator associated with Intermittency

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Thomas Prellberg

Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions

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Thomas Prellberg, Aleksander L. Owczarek

Four-dimensional polymer collapse II:
Interacting self-avoiding trails

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Thomas Prellberg, Aleksander L. Owczarek

Pseudo-First-Order Transition in Interacting Self-avoiding Walks and Trails

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2000

Manfred Denker, Mikhail Gordin, Stefan-M. Heinemann

On the Relative Variational Principle for Fibre Expanding Maps

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Stefan-M. Heinemann, Oliver Schmitt

Rokhlin's Lemma for Non-Invertible Maps

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Stefan-M. Heinemann, Bernd O. Stratmann

Geometric Exponents for Hyperbolic Julia Sets

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M. Cristina Marchetti, A. Alan Middleton, Thomas Prellberg

Viscoelastic Depinning of Driven Systems. Mean-Field Plastic Scallops

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Thomas Prellberg

On the Asymptotics of Takeuchi Numbers

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Thomas Prellberg, Barbara Drossel

Winding angles for two-dimensional polymers with orientation

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Thomas Prellberg, Aleksander L. Owczarek

Four-dimensional polymer collapse: Pseudo-First-Order Transition in Interacting Self-avoiding Walks

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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)

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Aleksander L. Owczarek, Thomas Prellberg

First-order scaling near a second-order phase transition: Tricritical polymer collapse

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1998

Cheng-Hung Chang, Dieter Mayer

The period Function of the nonholomorphic Eisenstein series for PSL(2,Z)

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1997

Barbara Drossel, Thomas Prellberg

Dynamics of a single particle in a horizontally shaken box

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other

Cheng-Hung Chang

The Transfer Operator: From Statistical Mechanics to Quantum Chaos

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Cheng-Hung Chang, Dieter Mayer

Thermodynamic Formalism and Selberg's Zeta Function for Modular Groups

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Cheng-Hung Chang, Dieter Mayer

Eigenfunctions of the Transfer Operators and the Period Functions for Modular Groups

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Cheng-Hung Chang, Dieter Mayer

Transfer Operators and Period Functions for Subgroups of PSL(2,Z)

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Cheng-Hung Chang, Dieter Mayer

An Extension of the Thermodynamic Formalism Approach to Selberg's Zeta Function for General Modular Groups

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Manfred Denker, Stefan-M. Heinemann

Polynomial Skew Products

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Partha Guha

Projective Structure and Integrable Geodesic Flows on the Extension of Bott-Virasoro Group

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Partha Guha

Projective Connections, AGD Manifold and Integrable Systems

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Joachim Hilgert, Dieter Mayer, Hossein Movasati

Transfer operator for Gamma_0(n) and the Hecke operators for the period functions of PSL(2,Z)

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Dieter Mayer

Transfer operators, the Selberg-zeta function and Lewis-Zagier theory of period functions

Lecture notes of a course given in Günzburg

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Dieter Mayer, Jörg Neunhäuserer

An isomorphism between polynomial eigenfunctions of the transfer operator and the Eichler cohomology for modular groups

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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)

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Tobias Mühlenbruch

Hecke operators for period functions for congruence subgroups

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Jörg Neunhäuserer

Number theoretical peculiarities in the dimension theory of dynamical systems

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Jörg Neunhäuserer

Properties of some overlapping self-similar and some self-affine measures

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Jörg Neunhäuserer

A Douady-Oesterlé type estimate for the Hausdorff dimension of invariant sets of piecwise smooth maps

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Jörg Neunhäuserer

Dimension theoretical properties of generalized Baker's Transformations

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