2026 Gerhard Keller: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	35	2740	2450	168	152	113	6284

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2740

2450

168

152

113

6284

Overview

Gerhard Keller is a researcher affiliated with the University of Erlangen-Nuremberg in Germany. Their work spans the fields of Mathematics and Computer Science, with a focus on several subfields including Mathematical Physics, Computational Theory and Mathematics, Condensed Matter Physics, Geometry and Topology, and Statistical and Nonlinear Physics.

Their research topics cover a variety of areas, notably:

Mathematical Dynamics and Fractals
Cellular Automata and Applications
Semigroups and Automata Theory
Theoretical and Computational Physics
Coding Theory and Cryptography
Topological and Geometric Data Analysis
Advanced Thermodynamics and Statistical Mechanics

Keller has contributed scholarly articles to multiple academic venues. Some of the most frequent publication venues include:

arXiv (Cornell University)
Stochastics and Dynamics
Israel Journal of Mathematics
Monatshefte für Mathematik
Canadian Mathematical Bulletin

Among their recent scientific papers are:

"Generalized heredity in ℬ-free systems" (2021, Stochastics and Dynamics)
"Irregular $${{\\mathcal {B}}}$$-free Toeplitz sequences via Besicovitch's construction of sets of multiples without density" (2022, Monatshefte für Mathematik)
"Spectrum of weak model sets with Borel windows" (2022, Canadian Mathematical Bulletin)
"Maximal equicontinuous generic factors and weak model sets" (2020, Discrete and Continuous Dynamical Systems)
"On the Garden of Eden theorem for ℬ-free subshifts" (2022, Israel Journal of Mathematics)

Keller frequently collaborates with other researchers. Notable coauthors include:

Christoph Richard
Stanisław Kasjan
Mariusz Lemańczyk
Daniel Sell
Nicolae Strungaru

Best Publications

Equilibrium States in Ergodic Theory

Gerhard Keller

516
Citations
Ergodic Properties of Invariant Measures for Piecewise Monotonic Transformations

Franz Hofbauer;Gerhard Keller

469
Citations
Stability of the spectrum for transfer operators

Gerhard Keller;Carlangelo Liverani

387
Citations
On U-statistics and v. mise’ statistics for weakly dependent processes

Manfred Denker;Gerhard Keller

344
Citations
Ruelle-Perron-Frobenius spectrum for Anosov maps

Michael Blank;Gerhard Keller;Carlangelo Liverani

305
Citations
Entropy of interval maps via permutations

Christoph Bandt;Gerhard Keller;Bernd Pompe

270
Citations
Stochastic stability in some chaotic dynamical systems

Gerhard Keller

217
Citations
Spectral Theory, Zeta Functions and the Distribution of Periodic Points for Collet-Eckmann Maps

Gerhard Keller;Tomasz Nowicki

188
Citations
Generalized bounded variation and applications to piecewise monotonic transformations

Gerhard Keller

187
Citations
Zeta functions and transfer operators for piecewise monotone transformations

V. Baladi;G. Keller

184
Citations
Rigorous statistical procedures for data from dynamical systems

Manfred Heinz Denker;Gerhard Keller

181
Citations
Wild Cantor attractors exist

H. Bruin;G. Keller;T. Nowicki;S.J. van Strien

174
Citations
Quadratic maps without asymptotic measure

Franz Hofbauer;Gerhard Keller

172
Citations
Rare Events, Escape Rates and Quasistationarity: Some Exact Formulae

Gerhard Keller;Carlangelo Liverani

152
Citations
A note on strange nonchaotic attractors

Gerhard Keller

144
Citations
On the rate of convergence to equilibrium in one-dimensional systems

Gerhard Keller

142
Citations
Exponents, attractors and Hopf decompositions for interval maps

Gerhard Keller

131
Citations
Equilibrium states for S-unimodal maps

Henk Bruin;Gerhard Keller

129
Citations
Rare events, exponential hitting times and extremal indices via spectral perturbation†

Gerhard Keller

105
Citations
Lifting measures to Markov extensions

Gerhard Keller

99
Citations

Frequent Co-Authors

Carlangelo Liverani University of Rome Tor Vergata

Viviane Baladi Centre national de la recherche scientifique, CNRS

Mariusz Urbański University of North Texas

External Links

Personal website of Gerhard Keller Google Scholar page

If you think any of the details on this page are incorrect, let us know.

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can open diverse career paths. Many professionals complement their math background with business skills by enrolling in a 1 year MBA program, offering a streamlined path to leadership roles without a long-term commitment.

Flexibility is key for working students, and some MBA programs allow you to transfer credits into an MBA program. This option can help reduce the time and cost required to earn the degree, making it easier to combine advanced mathematics knowledge with business acumen.

Another growing field for math graduates is data science. Pursuing a masters in data analytics equips students with skills to interpret large datasets, a valuable asset across industries like finance, technology, and healthcare.

For those seeking accessible options, there are programs listed among the easiest MBA program choices, which may offer a less competitive admission process while still providing a solid foundation for career advancement.