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] (0.6,0.7) -- (6,0.7);
4 \node[font=\small,align=center] at (3.3,3.9) {Predict, then update};
5 \path[draw=black,fill=black!12,line width=.6pt] (1.248,0.7) rectangle (2.652,2.8);
6 \node[font=\small,align=center,font=\scriptsize] at (1.95,0.4) {0};
7 \node[font=\small,align=center,font=\scriptsize] at (1.95,3.02) {$\frac{6}{7}$};
8 \path[draw=black,fill=black!12,line width=.6pt] (3.948,0.7) rectangle (5.352,1.05);
9 \node[font=\small,align=center,font=\scriptsize] at (4.65,0.4) {1};
10 \node[font=\small,align=center,font=\scriptsize] at (4.65,1.27) {$\frac{1}{7}$};
11 \draw[line width=.6pt] (7.7,0.7) -- (13.1,0.7);
12 \node[font=\small,align=center] at (10.4,3.9) {Update, then predict};
13 \path[draw=black,fill=black!12,line width=.6pt] (8.348,0.7) rectangle (9.752,2.5375);
14 \node[font=\small,align=center,font=\scriptsize] at (9.05,0.4) {0};
15 \node[font=\small,align=center,font=\scriptsize] at (9.05,2.7575) {$\frac{3}{4}$};
16 \path[draw=black,fill=black!12,line width=.6pt] (11.048,0.7) rectangle (12.452,1.3125);
17 \node[font=\small,align=center,font=\scriptsize] at (11.75,0.4) {1};
18 \node[font=\small,align=center,font=\scriptsize] at (11.75,1.5325) {$\frac{1}{4}$};
19 \node[font=\small,align=center,font=\scriptsize] at (7,4.5) {Same prior $e_0$, transition $K_2$, and likelihood $(1,1/2)$};
20 \end{tikzpicture}

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