DOI10.1007/BF02473355zbMath0714.58018MaRDI QIDQ750973
Dieter H. Mayer
Publication date: 1990
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Invariant densities for random continued fractions ⋮
Statistical properties of chaos demonstrated in a class of one-dimensional maps ⋮
Hecke triangle groups, transfer operators and Hausdorff dimension ⋮
A multifractal analysis for Stern-Brocot intervals, continued fractions and Diophantine growth rates ⋮
Dynamical zeta functions for Artin's billiard and the Venkov-Zograf factorization formula ⋮
Uniqueness of minimizer for countable Markov shifts and equidistribution of periodic points ⋮
Taylor series expansions for eigenvalues and eigenfunctions of parametrized composition operators ⋮
On the fast Khintchine spectrum in continued fractions ⋮
Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds ⋮
The rate of convergence of approximations of a continued fraction ⋮
Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume ⋮
Probabilistic analyses of the plain multiple gcd algorithm ⋮
The flat-trace asymptotics of a uniform system of contractions ⋮
Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism ⋮
Beta-expansion and continued fraction expansion of real numbers ⋮
Dynamics of a family of continued fraction maps ⋮
Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps ⋮
Large deviations for denominators of continued fractions ⋮
Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮
ON THE DENSITY OF HAUSDORFF DIMENSIONS OF BOUNDED TYPE CONTINUED FRACTION SETS: THE TEXAN CONJECTURE ⋮
Mayer's transfer operator and representations of \(\mathrm{GL}_{2}\) ⋮
Continued fraction Cantor sets, Hausdorff dimension, and functional analysis ⋮
Explicit a priori bounds on transfer operator eigenvalues ⋮
Chaotic and topological properties of continued fractions ⋮
Nuclear pseudo-differential operators in Besov spaces on compact Lie groups ⋮
Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant ⋮
An iterated logarithm law related to decimal and continued fraction expansions ⋮
Reduction theory over quadratic imaginary fields ⋮
Generalized number theoretic spin chain-connections to dynamical systems and expectation values ⋮
A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area ⋮
Large deviation principle for arithmetic functions in continued fraction expansion ⋮
On Khintchine exponents and Lyapunov exponents of continued fractions ⋮
A dimension gap for continued fractions with independent digits ⋮
The thermodynamic formalism approach to Selberg’s zeta function for 𝑃𝑆𝐿(2,𝐙) ⋮
Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow ⋮
Analysis of generalized continued fraction algorithms over polynomials ⋮
NUMBER THEORY, DYNAMICAL SYSTEMS AND STATISTICAL MECHANICS ⋮
Limit theorems related to beta-expansion and continued fraction expansion ⋮
Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation ⋮
Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy ⋮
Series expansions for Maass forms on the full modular group from the Farey transfer operators ⋮
A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions ⋮
Dynamics of continued fractions with periodic constraints ⋮
Dynamics of geodesics, and Maass cusp forms ⋮
Mayer’s transfer operator approach to Selberg’s zeta function ⋮
Entire Fredholm determinants for evaluation of semiclassical and thermodynamical spectra ⋮
Quantum maps from transfer operators ⋮
Dynamics of the continued fraction map and the spectral theory of \(\text{SL}(2,\mathbb{Z})\)
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