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Deutsche Bundesbank Bavarian Regional Headquarters Ludwigstraße 13 80539 Munich, Germany
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Recently submitted |
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R. Hölzl, S. Kleine, F. Stephan
Strong n-conjectures over rings of integers |
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March 2025 | |
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R. Hölzl, Ng K. M.
The computational content of multidimensional discontinuity |
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May 2024 | |
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R. Hölzl, P. Janicki
Benign approximations and non-speedability |
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August 2023 | |
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Journals |
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R. Hölzl, S. Kleine, F. Stephan
Improved lower bounds for strong n-conjectures |
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Journal of the Australian Mathematical Society, August 2025 | |
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D. Belanger, C.T. Chong, R. Hölzl, F. Stephan
Independence and Induction in Reverse Mathematics |
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Journal of Symbolic Logic, accepted with minor revisions March 2025 | |
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J. Franklin, R. Hölzl, A. Melnikov, Ng K. M., D. Turetsky
Computable classifications of continuous, transducer, and regular functions |
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Theoretical Computer Science, March 2025 | |
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P. Hertling, R. Hölzl, P. Janicki
Regainingly approximable numbers and sets |
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Journal of Symbolic Logic, January 2024 | |
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R. Hölzl, C. P. Porter
Degrees of randomized computability |
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Bulletin of Symbolic Logic, March 2022 | |
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R. Hölzl, W. Merkle, J. S. Miller, F. Stephan, Yu L.
Chaitin’s Ω as a Continuous Function |
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Journal of Symbolic Logic, March 2020 | |
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R. Hölzl, C. P. Porter
Rank and randomness |
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Journal of Symbolic Logic, December 2019 | |
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R. Hölzl, S. Jain, F. Stephan
Learning Pattern Languages Over Groups |
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Journal version: Theoretical Computer Science, September 2018 | |
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Conference version: Algorithmic Learning Theory, October 2016 | |
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L. Bienvenu, R. Hölzl, C. P. Porter, P. Shafer
Randomness and semi-measures |
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Notre Dame Journal of Formal Logic, June 2017 | |
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R. Hölzl, C. P. Porter
Randomness for computable measures and initial segment complexity |
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Annals of Pure and Applied Logic, April 2017 | |
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R. Hölzl, S. Jain, F. Stephan
Inductive Inference and Reverse Mathematics |
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Journal version: Annals of Pure and Applied Logic, December 2016 | |
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Conference version: Symposium on Theoretical Aspects of Computer Science, March 2015 | |
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R. Hölzl, F. Stephan, Yu L.
On Martin's Pointed Tree Theorem |
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Computability, May 2016 | |
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R. Hölzl, P. Shafer
Universality, optimality, and randomness deficiency |
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Annals of Pure and Applied Logic, October 2015 | |
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V. Brattka, G. Gherardi, R. Hölzl
Probabilistic Computability and Choice |
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Information and Computation, June 2015 | |
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L. Bienvenu, R. Hölzl, J. S. Miller, A. Nies
Denjoy, Demuth and Density |
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Journal version: Journal of Mathematical Logic, June 2014 | |
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Conference version: Symposium on Theoretical Aspects of Computer Science, March 2012 | |
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R. Hölzl, T. Kräling, F. Stephan, Wu G.
Initial Segment Complexities of Randomness Notions |
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Journal version: Information and Computation, February 2014 | |
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Conference version: Theoretical Computer Science, September 2010 | |
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L. Bienvenu, A. D. Day, R. Hölzl
From Bi-immunity to Absolute Undecidability |
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Journal of Symbolic Logic, December 2013 | |
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G. Barmpalias, R. Hölzl, A. E. M. Lewis, W. Merkle
Analogues of Chaitin's Omega in the computably enumerable sets |
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Information Processing Letters, January 2013 | |
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R. Hölzl, T. Kräling, W. Merkle
Time-bounded Kolmogorov complexity and Solovay functions |
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Journal version: Theory of Computing Systems, January 2013 | |
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Conference version: Mathematical Foundations of Computer Science, August 2009 | |
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L. Bienvenu, R. Hölzl, T. Kräling, W. Merkle
Separations of non-monotonic randomness notions |
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Journal version: Journal of Logic and Computation, September 2010 | |
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Conference version: Computability and Complexity in Analysis, August 2009 | |
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Book chapters |
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R. Hölzl, D. Raghavan, F. Stephan, Zhang J.
Weakly Represented Families in Reverse Mathematics |
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Computability and Complexity, Lecture Notes in Computer Science, January 2017 | |
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V. Brattka, G. Gherardi, R. Hölzl, A. Pauly
The Vitali Covering Theorem in the Weihrauch Lattice |
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Computability and Complexity, Lecture Notes in Computer Science, January 2017 | |
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Peer‑reviewed conferences |
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R. Hölzl, P. Janicki, W. Merkle, F. Stephan
Randomness versus superspeedability |
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Mathematical Foundations of Computer Science, August 2024 | |
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R. Hölzl, S. Jain, P. Schlicht, K. Seidel, F. Stephan
Automatic Learning from Repetitive Texts |
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Algorithmic Learning Theory, October 2017 | |
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V. Brattka, R. Hölzl, R. Kuyper
Monte Carlo Computability |
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Symposium on Theoretical Aspects of Computer Science, March 2017 | |
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V. Brattka, G. Gherardi, R. Hölzl
Las Vegas Computability and Algorithmic Randomness |
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Symposium on Theoretical Aspects of Computer Science, March 2015 | |
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R. Hölzl, W. Merkle
Traceable sets |
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Theoretical Computer Science, September 2010 | |
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R. Hölzl, W. Merkle
Generation complexity versus distinction complexity |
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Theory and Applications of Models of Computation, April 2008 | |
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Selected talks |
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Selected teaching material |
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| Ausgewählte Kapitel der Komplexitätstheorie | ||
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Lecture on selected topics from advanced complexity theory in German, January 2024 | |
| Quantencomputer | ||
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Short lecture on quantum computing in German, December 2024 | |
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Other |
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| Article reviews | ||
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MathSciNet Mathematical Reviews | |
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Zentralblatt MATH | |
| Kolmogorov complexity | ||
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Doctoral dissertation, December 2010 | |
| Maß in Polynomialzeit | ||
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Diploma thesis in German, October 2006 | |
Fluent in German, English, French. Good knowledge of Spanish.
Hobbies include photography, mountaineering, cycling, and scuba diving.