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WOLFRAM NOTEBOOK
Continuum Limit
Continuum Limit
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NestGraphTagged[n|->{2n,n+1},0,10]
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Infinite number of branches ; branching infinitely often
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AdjacencyMatrix
//MatrixPlot
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For us, the ordering of nodes is not arbitrary ; they are specific numbers....
For us, the ordering of nodes is not arbitrary ; they are specific numbers....
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NestGraph[n|->{2n,n+1},Range[0,1,1/10],4]
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VertexList[%]
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0,1,,,,,,,,,,,,,,,,,,,2,,,,,,,,3,,,,,,,4,,,,,,,,5,,,,,,,6,,,,,8,,,,,,7,,,,,,,,,10,,,,,12,,,,,,,9,16
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17
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9
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21
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23
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2
16
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27
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29
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33
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7
2
26
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37
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39
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47
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64
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68
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41
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72
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43
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76
5
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Histogram[%]
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graphon2[x_,y_]:=1-Max[x,y]
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NestGraphTagged[n|->{2n,n+1},Range[0,1,1/20],4]
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NestGraphTagged[n|->{2n,n+1},Range[0,1,1/25],4]
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NestGraphTagged[n|->{n+1,n+2},Range[0,1,1/25],4]
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Analogies
Analogies
Stochastic calculus
Stochastic calculus
Binomial trees for e.g. pricing
Path integrals
Path integrals