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Lecture 2: SOC Brain as Something
1.
Canonical Distribution 2010
2.
E=−
σi σj i,j Ising Model 2010
3.
∆E < 0P
(∆E) = 1 ∆E > 0then p(∆E) = 1 − e−β∆E 2010
4.
2010
5.
2010
6.
From a single
attracting state to multiple attracting states. 2010
7.
2010
8.
Spin glass: random
spin-spin interaction generates a spatially random but temporally ordered states. 2010
9.
2010
10.
T
Tc M 2010
11.
Scale Free Correlations
in Starling Flocks, A Cavagna et al. PNAS (2010) 2010
12.
2010
13.
Self-Organized Criticality(SOC)
Sandpile Model P.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 of K=3 N=6 2010
16.
2010
17.
2010
18.
Developmental abnormality, called
metaplasia, exhibits the same restricted pathways of aberrant differentiation. 2010
19.
lambda-parameter (C.Langton) 2010
20.
Per Bak’s memory
as a SOC and so on. 2010
21.
How the fluctuation
propagates through a system? 2010
22.
What about avalanche
in the high dimensional space? 2010
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