Lecture 2: SOC Brain as Something

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e -E KT P(E)∝ Canonical Distribution 2010年10月16日土曜日

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Transcript of Lecture 2: SOC Brain as Something

  • 1. Canonical Distribution2010

2. E=i j i,j Ising Model2010 3. E < 0P (E) = 1E > 0thenp(E) = 1 eE 2010 4. 2010 5. 2010 6. From a single attracting state tomultiple attracting states. 2010 7. 2010 8. Spin glass: random spin-spininteraction generates a spatiallyrandom but temporally orderedstates. 2010 9. 2010 10. TTcM2010 11. Scale Free Correlations in Starling Flocks, ACavagna et al. PNAS (2010) 2010 12. 2010 13. Self-Organized Criticality(SOC)Sandpile ModelP.Bak Avalanche size P.Bak, C. Tang, K. WiesenFeld. Self-Organized Criticality: An Explanation of 1/f Noise. Physical Review Letters. Volume 59, Number 4, July 1987. 2010 14. by Hide Sakaguchi et al. 2005 2010 15. NKmodel: a complete phase space ofK=3 N=6 2010 16. 2010 17. 2010 18. Developmental abnormality, calledmetaplasia, exhibits the same restrictedpathways of aberrant differentiation. 2010 19. lambda-parameter (C.Langton)2010 20. Per Baks memory as a SOCand so on. 2010 21. How the uctuation propagates through a system? 2010 22. What about avalanche in the highdimensional space? 2010