Ilkka Törmä
PhD
iatorm@utu.fi Office: 395 ORCID identifier: https://orcid.org/0000-0001-5541-8517 |
Areas of expertise
Symbolic dynamics; Cellular automata
Symbolic dynamics; Cellular automata
Biography
I am a university lecturer at the Department of Mathematics and Statistics. I obtained my PhD from the University of Turku in 2015. Since then I have worked as a researcher at Boston University (USA), University of Montpellier (France), and now at the University of Turku.
Research
I study cellular automata and multidimensional symbolic dynamics, from both dynamical and computational perspectives. In particular, I am interested in the properties of multidimensional SFTs and sofic shifts, and the relations between their different subclasses.
Teaching
I regularly teach courses on Euclidean geometry, linear algebra and the Finnish high school mathematics curriculum for teachers.
Publications 
2 of 3
- 21st International Workshop on Cellular Automata and Discrete Complex Systems – Exploratory Papers of AUTOMATA 2015 (2015) Jarkko Kari, Ilkka Törmä, Michal Szabados
(Other publication) - A Uniquely Ergodic Cellular Automaton (2015)
- Journal of Computer and System Sciences
(A1 Refereed original research article in a scientific journal) - Block maps between primitive uniform and Pisot substitutions (2015)
- Ergodic Theory and Dynamical Systems
(A1 Refereed original research article in a scientific journal) - Category Theory of Symbolic Dynamics (2015)
- Theoretical Computer Science
(A1 Refereed original research article in a scientific journal) - Complexity of Conjugacy, Factoring and Embedding for Countable Sofic Shifts of Rank 2 (2015)
- Lecture Notes in Computer Science
(A3 Refereed book chapter or chapter in a compilation book) - Group-Walking Automata (2015)
- Lecture Notes in Computer Science
(A4 Refereed article in a conference publication ) - Plane-Walking Automata (2015)
- Lecture Notes in Computer Science
(A3 Refereed book chapter or chapter in a compilation book) - Quantifier Extensions of Multidimensional Sofic Shifts (2015)
- Proceedings of the American Mathematical Society
(A1 Refereed original research article in a scientific journal) - Structural and Computational Existence Results for Multidimensional Subshifts (2015) Törmä Ilkka
(G5 Article dissertation ) - Color Blind Cellular Automata (2014)
- Journal of Cellular Automata
(A1 Refereed original research article in a scientific journal) - Playing with Subshifts (2014)
- Fundamenta Informaticae
(A1 Refereed original research article in a scientific journal) - Subshifts, MSO Logic, and Collapsing Hierarchies (2014)
- Lecture Notes in Computer Science
(A4 Refereed article in a conference publication ) - Trace Complexity of Chaotic Reversible Cellular Automata (2014)
- Lecture Notes in Computer Science
(A4 Refereed article in a conference publication ) - Color Blind Cellular Automata (2013)
- Lecture Notes in Computer Science
(A4 Refereed article in a conference publication ) - Commutators of Bipermutive and Affine Cellular Automata (2013)
- Lecture Notes in Computer Science
(A4 Refereed article in a conference publication ) - Constructions with Countable Subshifts of Finite Type (2013)
- Fundamenta Informaticae
(A1 Refereed original research article in a scientific journal) - Surjective Two-Neighbor Cellular Automata on Prime Alphabets (2013)
- IFIG Research Reports
(A4 Refereed article in a conference publication ) - Computational Aspects of Cellular Automata on Countable Sofic Shifts (2012)
- Lecture Notes in Computer Science
(A4 Refereed article in a conference publication ) - Geometry and Dynamics of the Besicovitch and Weyl Spaces (2012)
- Lecture Notes in Computer Science
(A4 Refereed article in a conference publication ) - On Derivatives and Subpattern Orders of Countable Subshifts (2012)
- Electronic Proceedings in Theoretical Computer Science
(A4 Refereed article in a conference publication )
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