TORBJØRN HELVIK
   

Associate professor (temp.),
Department of Mathematical Sciences,
Norwegian University of Science and Technology (NTNU).
Education: Siv.ing. (2001), PhD (2006)
Office:  Room 1246, Sentralbygg II
Phone: +47 73550287
Fax: +47 73593524
Mobile: +47 41662038
E-mail: torbjohe-AT-math-ntnu-no

Mail:

Department of Mathematical Sciences
NTNU, 7491 Trondheim, Norway
   
Interests
 
Cellular automata and other spatially extended (dynamical) systems. Evolutionary game theory.


Teaching
 
Spring 06 : Lecturer of TMA4115 -- Calculus 3
Fall 05 : Lecturer of TMA4110 -- Calculus 3
Spring 05 : Assistant for TMA4165 -- Differential equations and dynamical systems
Co-organizer of "Advanced Problem Solving"


Publications
 
T. Helvik, K. Lindgren and M.G. Nordahl (2007). Continuity of Information Transport in Surjective Cellular Automata. Communications in Mathematical Physics. Vol. 272. No. 1, pp. 53-74. [contact me for a preprint]
L. Bach, T. Helvik and F.B. Christiansen (2006). The Evolution of n-player Cooperation: Threshold Games and ESS Bifurcations. Journal of Theoretical Biology. Vol. 238. No. 2, pp. 426-434.
N.A. Baas and T. Helvik (2005). Higher Order Cellular Automata. Advances in Complex Systems. Vol. 8, Nos. 2-3, pp. 169-192. [Preprint]
T. Helvik, K. Lindgren and M.G. Nordahl (2004). Local Information in One-Dimensional Cellular Automata. Springer Lecture Notes in Computer Science, Vol. 3305, pp.121-130.


Theses
 
Doctoral Thesis (2006): Dynamical Systems of Interacting Units: Information Transport and Higher Order Structures [fulltext available]. Doctoral Theses at NTNU 2006:1. ISBN 82-471-7738-2.
Master's Thesis (2001): Emergence and Dynamical Structures of Higher Order.


Talks
 
Linear Finite Dynamical Systems (2006). 
Lecture on appointed topic in connection with thesis defence, 13.01.06.
Cellular Automata: Not merely a New Kind of Science (2004).
Mathematics Department Colloquium, Chalmers University of Technology, 26.01.04.


Other Writings
 
Plotting av Faseportrett med Maple (2003).
For use with the course TMA4165 -- Differential equations and dynamical systems
Kategoriteori (1999). Fourth year project.


Personal
 
Photography - Photos from various trips and happings
Erdös Number