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- DIETER H. MAYER
- 1991

- DIETER MAYER
- 2008

In this paper we discuss a coding and the associated symbolic dynamics for the geodesic flow on Hecke triangle surfaces. We construct an explicit cross section for which the first return map factors through a simple (explicit) map given in terms of the generating map of a particular continued fraction expansion closely related to the Hecke triangle groups.… (More)

We investigate the location of zeros and poles of a dynamical zeta function for a family of subshifts of finite type with an interaction function depending on the parameters λ = (λ1,. .. , λm) with 0 λi 1. The system corresponds to the well known Kac-Baker lattice spin model in statistical mechanics. Its dynamical zeta function can be expressed in terms of… (More)

We calculate the period function of Lewis of the automorphic Eisenstein series E(s; w) = 1 2 v s P n;m6 =(0;0) (mw + n) ?2s for the modular group PSL(2; Z Z). This function turns out to be the function B(1 2 ; s + 1 2) s (z), where B(x; y) denotes the beta function and s a function introduced some time ago by Zagier and given for <s > 1 by the series s (z)… (More)

- Roelof Bruggeman, Markus Fraczek, Dieter Mayer
- Experimental Mathematics
- 2013

- D Mayer, T Mühlenbruch
- 2009

We discuss the nearest λ q –multiple continued fractions and their duals for λ q = 2 cos π q which are closely related to the Hecke triangle groups G q , q = 3, 4,. . .. They have been introduced in the case q = 3 by Hurwitz and for even q by Nakada. These continued fractions are generated by interval maps f q respectively f ⋆ q which are conjugate to… (More)

- Partha Guha, Dieter Mayer
- 2008

We establish a close relation between higher order Riccati equations and Faá di Bruno polynomial respectively Ramanujan's differential equations connected to modular forms.

- Dieter Mayer
- 2008

Let T f be a circle homeomorphism with two break points a b , c b and irrational rotation number ̺ f. Suppose that the derivative Df of its lift f is absolutely continuous on every connected interval of the set S 1 \{a b , c b }, that DlogDf ∈ L 1 and the product of the jump ratios of Df at the break points is nontrivial, i.e. Df−(a b) Df+(a b) Df−(c b)… (More)

In this paper we demonstrate that there exists a close relationship between quasi-exactly solvable quantum models and two special classes of classical dy-namical systems. One of these systems can be considered a natural generalization of the multi-particle Calogero-Moser model and the second one is a classical matrix model.

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