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Tom's Jan 28 light edits of add mult functional lecture
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lectures/additive_functionals.md

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@@ -1020,7 +1020,7 @@ $$
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\mathrm{Kurt}(\widetilde M_t) = e^{4a_t} + 2e^{3a_t} + 3e^{2a_t} - 3.
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$$
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(Here, [excess kurtosis](https://en.wikipedia.org/wiki/Kurtosis) is obtained by subtracting 3)
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(Here, [excess kurtosis](https://en.wikipedia.org/wiki/Kurtosis) is obtained by subtracting 3 from kurtosis)
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These formulas show that everything depends on $a_t = t(H \cdot H)$.
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@@ -1048,7 +1048,7 @@ def log10_var_skew_kurt(H, t):
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return np.log10(var), np.log10(skew), np.log10(kurt)
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```
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Let's illustrate the growth of raw moments on a log scale for $H = 2.0$
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Let's illustrate the growth of $k$th-order raw moments on a log scale for $H = 2.0$
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```{code-cell} ipython3
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H_example = 2.0

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