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

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Stealth,line cap=round,line join=round]
2 \path[use as bounding box] (0,-.6) rectangle (14,4.8);
3 \draw[line width=.6pt] (0.4,0.6) -- (4.6,0.6);
4 \node[font=\small,align=center] at (2.5,3.8) {First posterior};
5 \path[draw=black,fill=black!12,line width=.6pt] (0.652,0.6) rectangle (1.198,3.05);
6 \node[font=\small,align=center,font=\scriptsize] at (0.925,0.3) {0};
7 \node[font=\small,align=center,font=\scriptsize] at (0.925,3.27) {$\frac{3}{4}$};
8 \path[draw=black,fill=black!12,line width=.6pt] (1.702,0.6) rectangle (2.248,1.09);
9 \node[font=\small,align=center,font=\scriptsize] at (1.975,0.3) {1};
10 \node[font=\small,align=center,font=\scriptsize] at (1.975,1.31) {$\frac{3}{20}$};
11 \path[draw=black,fill=black!12,line width=.6pt] (2.752,0.6) rectangle (3.298,0.926667);
12 \node[font=\small,align=center,font=\scriptsize] at (3.025,0.3) {2};
13 \node[font=\small,align=center,font=\scriptsize] at (3.025,1.146667) {$\frac{1}{10}$};
14 \path[draw=black,fill=black!12,line width=.6pt] (3.802,0.6) rectangle (4.348,0.6);
15 \node[font=\small,align=center,font=\scriptsize] at (4.075,0.3) {3};
16 \node[font=\small,align=center,font=\scriptsize] at (4.075,0.82) {$0$};
17 \draw[line width=.6pt] (5.2,0.6) -- (9.4,0.6);
18 \node[font=\small,align=center] at (7.3,3.8) {Second posterior};
19 \path[draw=black,fill=black!12,line width=.6pt] (5.452,0.6) rectangle (5.998,1.887821);
20 \node[font=\small,align=center,font=\scriptsize] at (5.725,0.3) {0};
21 \node[font=\small,align=center,font=\scriptsize] at (5.725,2.107821) {$\frac{41}{104}$};
22 \path[draw=black,fill=black!12,line width=.6pt] (6.502,0.6) rectangle (7.048,1.071154);
23 \node[font=\small,align=center,font=\scriptsize] at (6.775,0.3) {1};
24 \node[font=\small,align=center,font=\scriptsize] at (6.775,1.291154) {$\frac{15}{104}$};
25 \path[draw=black,fill=black!12,line width=.6pt] (7.552,0.6) rectangle (8.098,1.85641);
26 \node[font=\small,align=center,font=\scriptsize] at (7.825,0.3) {2};
27 \node[font=\small,align=center,font=\scriptsize] at (7.825,2.07641) {$\frac{5}{13}$};
28 \path[draw=black,fill=black!12,line width=.6pt] (8.602,0.6) rectangle (9.148,0.851282);
29 \node[font=\small,align=center,font=\scriptsize] at (8.875,0.3) {3};
30 \node[font=\small,align=center,font=\scriptsize] at (8.875,1.071282) {$\frac{1}{13}$};
31 \draw[line width=.6pt] (10.3,0.6) -- (13.5,0.6);
32 \node[font=\small,align=center] at (11.9,3.8) {Coarse posterior};
33 \path[draw=black,fill=black!12,line width=.6pt] (10.684,0.6) rectangle (11.516,2.358974);
34 \node[font=\small,align=center,font=\scriptsize] at (11.1,0.3) {A};
35 \node[font=\small,align=center,font=\scriptsize] at (11.1,2.578974) {$\frac{7}{13}$};
36 \path[draw=black,fill=black!12,line width=.6pt] (12.284,0.6) rectangle (13.116,2.107692);
37 \node[font=\small,align=center,font=\scriptsize] at (12.7,0.3) {B};
38 \node[font=\small,align=center,font=\scriptsize] at (12.7,2.327692) {$\frac{6}{13}$};
39 \node[font=\small,align=center,font=\scriptsize] at (7,4.45) {Evidence $Z_1=5/8$, $Z_2=13/20$, and $Z_1Z_2=13/32$};
40 \end{tikzpicture}

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