Uusi opinto-opas (sisältäen myös opetusohjelmat) lukuvuodelle 2018-2019 sijaitsee osoitteessa https://opas.peppi.utu.fi . Tältä sivustolta löytyvät enää vanhat opinto-oppaat ja opetusohjelmat.

The new study guide (incl. teaching schedules) for academic year 2018-2019 can be found at https://studyguide.utu.fi. This site contains only previous years' guides.

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Archived Curricula Guide 2014–2016
Curricula Guide is archieved. Please refer to current Curricula Guides
MATE5305 Cellular Automata 10 ECTS
Organised by
Mathematics
Person in charge
Department of Mathematics and Statistics, Jarkko Kari
Planned organizing times
Period(s) I II III IV
2015–2016 X X
Preceding studies
Tilings and Patterns, Topology, Automata theory are recommended.

Learning outcomes

To learn the lecture material; to be able to apply the studied concepts and methods to prove new facts concerning cellular automata; to understand the concept of algorithmic undecidability; to understand the toplogical aspects of the shift space and cellular automata; to be able to follow and understand research talks on cellular automata.

Contents

Cellular automata are infinite arrays of identical finite automata ("cells") that change their states synchronously according to a local update rule. Game of Life is a well known example. We study theoretical aspects of cellular automata. Topics include injectivity and surjectivity properties, Garden of Eden -theorem, reversibility, conservation laws, computational universality, cellular automata as topological dynamical systems. We also cover basic concepts of symbolic dynamics as needed.

Teaching methods

Teaching method Contact Online
Lectures 56 h 0 h
Exercises 26 h 0 h

Teaching language

English

Modes of study

Option 1
Available for:
  • Degree Programme Students
  • Other Students
  • Doctoral Students
  • Exchange Students
Exercises Exercise(s)
  • In English
Midterm examination Written exam
  • In English
Option 2
Available for:
  • Degree Programme Students
  • Other Students
  • Doctoral Students
  • Exchange Students
Exercises Exercise(s)
  • In English
Written exam
  • In English

Evaluation

Numeric 0-5.

Study materials

Lecture Notes

Belongs to following study modules

Department of Mathematics and Statistics
2014–2015
Teaching
Archived Teaching Schedule. Please refer to current Teaching Shedule.
Implementation details are unavailable.
Department of Mathematics and Statistics
DP in Mathematics and Statistics
DP in Mathematics
Finnish Study Modules
DP in Statistics
Statistics