Office phone: +46 31 772 3503, Fax: +46 31 161973,
Office: L2040, e-mail: torbjorn.lundh@ chalmers.se
Address: Department of Mathematics, map
Chalmers (map), SE-412 96 Göteborg, Sweden
 (Previously post. doc. in Stony Brook, NY)


Ordförande för:
Chairman of Svenska nationalkommittén för matematik
The Chalmers-GU-common plattform: Mathematical Biology

Applets:
Urdar - artificial ecology

• On the ring lemma
  
  

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Selected publications

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Teaching:

• Graduate course in biomathematics
• Miljö och matematisk modellering, MVE345
  
• Analysera Lärande, MVE380
  

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Talks etc:
2009

• Vetenskapsfestivalen, 6 maj
• Utbildningsdagar, SMS-SKM-NCM-mattebron, 28-29 april
• Nationell samling kring lärarutbildningen i matematik, NCM, Wallenbergsalen10 mars
  
• Nätverksträff för organisationer/motsv som verkar nationellt för
  matematikens och matematikundervisningens utveckling, 20 jan.
  
  
  

                                                                                                                                     2008

• International Symposium, Mathematical Analysis of  Developmental Phenomena, Shimane University, Matsue, Japan, Nov. 23
• Spetsutbildningar i matematik, Norra Latin, 13 november.
• Sonja Kovalevsky-dagarna, Uppsala, Nov. 7-8
• RANDOM MODELS IN SCIENCE, ENGINEERING AND MEDICINE - A SMÖGEN WORKSHOP AUGUST 18-22
  
• The gene-function relationship in the metabolism of S. Cervisiae and digital organims, ALife XI, Southampton, UK, Aug. 4-9
  
• Science for a better life, Barcelona, 17-18 July
  
• Vetenskapsfestivalen16 april
• Betygskommite, Andreas Magnusson, March 17
• Unga Forskare, March 12
• Symposiet för forskning om lärande och undervisning i matematik 10-11 mars
• Hokkaido, Sapporo Jan. 24
  
• Tokyo, Jan. 22
  
• Shimane, Jan. 15
  
  2007
  
• Scaling laws - Göteborg Centre for Theoretical Biology Dec. 10
  
• Meeting in Cambridge, Alan Beardon, Dec 5.
  
• Betygskommitté Paul Sjöberg, Uppsala
• Sonja Kovalevsky-dagarna, Nov. 16-17
• Björn Gustafsson meeting, KTH, Oct. 15-17
  
• PDE & Mathematical Biology, Sthlm July 9-1.
• Diskutant på licentiatpresentation av Ulrika Trolle, June 13, 16.00 Handelshögskolan.
  
• Diskutant på licentiatpresentation av Olof Görnerup, June 8,10.00.
  
• Stochastic Approaches to Evolution,  May 26-30
  
• Vetenskapsfestivalen16 april
• Morphological computations, Venice, March 26-28.
  
• Fysik- och matematikkonferens (för gymnasielärare Sthlm) mars
  
  2006
  

• Workshop, Sonja Kovalevsky-dagarna, Nov. 18
• Morphogenesis meeting at Göteborg University, Nov. 14-15.
• Analytic morphogenesis, Dundee, Nov. 7.
• Multiphysics meeting, Copenhagen, Nov.1-2.
• The Gothenburg Centre for Theoretical Biology och Ekologisk Zoologi, Zoologiska institutionen, GU
  Sympatric speciation with reinforcement: a modeling approach, Oct. 17, 15.30.
• Evolutionsstudier in silico, or, Get A-Life, Seminar Zoology Dept. Sept. 5, 15.30-16.30.
• Vetenskapsfestivalen 18 maj
  i)  Akademisk kvart, Nordstan 14.00
  ii) Matematisk idrottsafton, Euler 18.00.
• Opponent in Trondheim Jan. 13.
  
  

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Research:

Some samples on the web:

The Emergence of Overlapping Scale-free Genetic Architecture in Digital Organisms (with P. Gerlee)

Which ball is the roundest? - a suggested tournament stability index
(In Journal of Quantiative Sports Analysis: in this form. Here are two radio interviews for the Swedish radio on the subject. P1, P4.) Do you want to try your own tournament? Go to this page.


The Genetic Coding Style of Digital Organisms (with P. Gerlee)

      War of attrition with implicit time cost (with A. Eriksson and K. Lindgren)

Minimally thin sets below a function graph

The 3G inequality for a uniformly John domain (with H. Aikawa)

Geodesics on quoteint-manifolds and their corresponding limit points

Martin Boundary for Unions of Convex Sets (with H. Aikawa, K. Hirata)

 Martin boundary of a fractal domain (with H. Aikawa, T. Mizutani)

Percolation  Diffusion

In Search for an Evolutionary Coding Style,

Discrete Groups and Thin Sets,

On Boundary Layers (with H. Aikawa).

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Some mathematical keywords: Discrete groups, Fuchsian groups, Kleinian groups, Poincare series, horocycle, minimal thinness, reduced functions, harmonic measure, boundary layer, NTA domain, discrete potential, Martin kernel, conditioned random walk, asymptotic capacity, IFS, John domain, uniform domain, inner domain, uniform John domain,  3G inequality, multiple Martin boundary points, chordal graphs, boundary harnack principle.

1991 Mathematics Subject Classification: Primary: 30C85, 31A15, 31B05, 31B15, 31C20, 31C35, 31C40, 60J65; Secondary 30F40, 30F45, 20H10, 30F35; Thirdly 60J45, 60J05, 60J10, 60J15. 

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Biology keywords: Artificial life, Avida, Amoeba, Xenopus , morphogenesis, embryology, pattern formation, L-systems, BZ-reactions, Turing's reaction-diffusion, limb formation. War of attrition, waiting game, masculinization, cytosceleton, wound healing.
 

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Previous teaching:

• LMA110, Aritmetik och algebra
  
• Naturvetenskap i vardagen, FYF906

Graduate course: Morphometrics

Grad. course: Random Walks and its Discrete Potential Theory counterpart, Sept.-Oct. 2007.
Potential Theory, 3rd quarter, 2007.
Quasiconformal mappings, 2006
Morphomatics, spring 2006
TMA285 -Financial derivatives and stochastic analysis, fall 2005

MAN100 Matematik med tillämpningar
Morfomatik
TMS060 - Matematisk statistik M
TMA285 - Finansiella derivat och stokastisk analys
LAU150 (tvär- kommunikation)
Dynamical Systems
Computational Biology A

Morphomatics,MVE075 (Chalmers), MAN560 (GU), 4th quarter, 2008.

(as above part of Complex Adaptive Systems)
"Från signal till information",
linjär algebra för NP programmet,
Matematik K1 Del D.
Fördjupningskurs för lärare MAL600.