Paper VI: Transfer Semigroups: Stochastic, Bayesian, Fractional, and PDE Realizations

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2 \path[use as bounding box] (0,-.6) rectangle (14,4.8);
3 \draw[line width=.6pt] (0.6,0.65) -- (6,0.65);
4 \node[font=\small,align=center] at (3.3,3.85) {Prior $p$};
5 \path[draw=black,fill=black!12,line width=.6pt] (0.924,0.65) rectangle (1.626,1.721875);
6 \node[font=\small,align=center,font=\scriptsize] at (1.275,0.35) {0};
7 \node[font=\small,align=center,font=\scriptsize] at (1.275,1.941875) {$\frac{1}{4}$};
8 \path[draw=black,fill=black!12,line width=.6pt] (2.274,0.65) rectangle (2.976,1.721875);
9 \node[font=\small,align=center,font=\scriptsize] at (2.625,0.35) {1};
10 \node[font=\small,align=center,font=\scriptsize] at (2.625,1.941875) {$\frac{1}{4}$};
11 \path[draw=black,fill=black!12,line width=.6pt] (3.624,0.65) rectangle (4.326,1.721875);
12 \node[font=\small,align=center,font=\scriptsize] at (3.975,0.35) {2};
13 \node[font=\small,align=center,font=\scriptsize] at (3.975,1.941875) {$\frac{1}{4}$};
14 \path[draw=black,fill=black!12,line width=.6pt] (4.974,0.65) rectangle (5.676,1.721875);
15 \node[font=\small,align=center,font=\scriptsize] at (5.325,0.35) {3};
16 \node[font=\small,align=center,font=\scriptsize] at (5.325,1.941875) {$\frac{1}{4}$};
17 \draw[line width=.6pt] (7.7,0.65) -- (13.1,0.65);
18 \node[font=\small,align=center] at (10.4,3.85) {Posterior $\mathcal B_\lambda(p)$};
19 \path[draw=black,fill=black!12,line width=.6pt] (8.024,0.65) rectangle (8.726,3.1);
20 \node[font=\small,align=center,font=\scriptsize] at (8.375,0.35) {0};
21 \node[font=\small,align=center,font=\scriptsize] at (8.375,3.32) {$\frac{4}{7}$};
22 \path[draw=black,fill=black!12,line width=.6pt] (9.374,0.65) rectangle (10.076,1.2625);
23 \node[font=\small,align=center,font=\scriptsize] at (9.725,0.35) {1};
24 \node[font=\small,align=center,font=\scriptsize] at (9.725,1.4825) {$\frac{1}{7}$};
25 \path[draw=black,fill=black!12,line width=.6pt] (10.724,0.65) rectangle (11.426,1.2625);
26 \node[font=\small,align=center,font=\scriptsize] at (11.075,0.35) {2};
27 \node[font=\small,align=center,font=\scriptsize] at (11.075,1.4825) {$\frac{1}{7}$};
28 \path[draw=black,fill=black!12,line width=.6pt] (12.074,0.65) rectangle (12.776,1.2625);
29 \node[font=\small,align=center,font=\scriptsize] at (12.425,0.35) {3};
30 \node[font=\small,align=center,font=\scriptsize] at (12.425,1.4825) {$\frac{1}{7}$};
31 \node[font=\small,align=center,font=\scriptsize] at (7,4.45) {$\lambda=(4,1,1,1)$; evidence $Z=7/4$};
32 \end{tikzpicture}

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