Ilkka
Törmä
Mathematics
University Lecturer, Mathematics
Docent, Department of Mathematics and Statistics
PhD
Contact
Links
Areas of expertise
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.
Teaching
I regularly teach courses on Euclidean geometry, linear algebra and the Finnish high school mathematics curriculum for teachers.
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.
Publications
Category Theory of Symbolic Dynamics (2015)
Theoretical Computer Science
(Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1))
Block maps between primitive uniform and Pisot substitutions (2015)
Ergodic Theory and Dynamical Systems
(Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1))
Quantifier Extensions of Multidimensional Sofic Shifts (2015)
Proceedings of the American Mathematical Society
(Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1))
21st International Workshop on Cellular Automata and Discrete Complex Systems – Exploratory Papers of AUTOMATA 2015 (2015)
(O2 Muu julkaisu )A Uniquely Ergodic Cellular Automaton (2015)
Journal of Computer and System Sciences
(Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1))
Structural and Computational Existence Results for Multidimensional Subshifts (2015)
(G5 Artikkeliväitöskirja)Group-Walking Automata (2015)
International Workshop on Cellular Automata and Discrete Complex Systems, Lecture Notes in Computer Science
(Vertaisarvioitu artikkeli konferenssijulkaisussa (A4))
Complexity of Conjugacy, Factoring and Embedding for Countable Sofic Shifts of Rank 2 (2015)
AUTOMATA, Lecture Notes in Computer Science
(Vertaisarvioitu artikkeli kokoomateoksessa (A3))
Trace Complexity of Chaotic Reversible Cellular Automata (2014)
Reversible Computation, Lecture Notes in Computer Science
(Vertaisarvioitu artikkeli konferenssijulkaisussa (A4))
Playing with Subshifts (2014)
Fundamenta Informaticae
(Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1))