D. Mayer

activity

19932022

most citedThe transfer operator for the Hecke triangle groups

29 citations · 104 across the 18 of their papers we have counts for

collaborators

19 papers

math.DS2022★ 3 cited

The thermodynamic formalism and central limit theorem for stochastic perturbations of circle maps with a break

Akhtam Dzhalilov, Dieter Mayer, Abdurahmon Aliyev

Let $T \in C^{2 + ε} (S^{1} ∖ {x_{b}}), ε > 0,$ be an orientation preserving circle homeomorphism with rotation number $ρ_T=[k_{1},k_{2},..,k_{m},1,1,...],…

math.DS2014★ 2 cited

Conjugacies between P-homeomorphisms with several breaks

Akhtam Dzhalilov, Dieter Mayer, Utkir Safarov

Let $f_{i}, i = 1, 2$ be orientation preserving circle homeomorphisms with a finite number of break points, at which the first derivatives $D f_{i}$ have jumps, and with identical irrat…

math.NT2012

Congruence properties of induced representations and their applications

Dieter Mayer, Arash Momeni, Alexei Venkov

In this paper we study congruence properties of the representations $U_{α} := U_{χ_{α}}^{P S L (2, Z)}$ of the projective modular group $PSL (2, Z)$ induced from a fami…

math.NT2012

Perturbation of zeros of the Selberg zeta-function for $Γ_{0} (4)$

Roelof Bruggeman, Markus Fraczek, Dieter Mayer

We study the asymptotic behavior of zeros of the Selberg zeta-function for the congruence subgroup $Γ_{0} (4)$ as a function of a one-parameter family of characters tending to the tri…

math.DS2011★ 12 cited

On conjugations of circle homeomorphisms with two break points

Habibulla Akhadkulov, Akhtam Dzhalilov, Dieter Mayer

Let $f_{i} \in C^{2 + α} (S^{1} ∖ {a_{i}, b_{i}}), α > 0, i = 1, 2$ be circle homeomorphisms with two break points $a_{i}, b_{i}$ , i.e. discontinuities in the derivative $f_{i}$ , with identical ir…

math.NT2010

Symmetries of the transfer operator for $Γ_{0} (N)$ and a character deformation of the Selberg zeta function for $Γ_{0} (4)$

Markus Fraczek, Dieter Mayer

The transfer operator for $Γ_{0} (N)$ and trivial character $χ_{0}$ possesses a finite group of symmetries generated by permutation matrices $P$ with $P^{2} = i d$ . Every such symmetry leads…