generator_modes.tex
Paper VI: Transfer Semigroups: Stochastic, Bayesian, Fractional, and PDE Realizations
generator_modes.tex
This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.
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 \path[draw=black!35,dashed] (0.5,2.9) rectangle (4.8,4.15);
4 \path[draw=black!35,dashed] (0.5,0.45) rectangle (4.8,1.7);
5 \draw[<->,line width=.8pt] (1.3,3.5) -- (4,3.5);
6 \node[font=\small,align=center,fill=white,inner sep=2pt] at (2.65,3.73) {1};
7 \draw[<->,line width=.8pt] (1.3,1.1) -- (4,1.1);
8 \node[font=\small,align=center,fill=white,inner sep=2pt] at (2.65,1.33) {1};
9 \draw[<->,line width=.8pt] (1.3,3.5) -- (1.3,1.1);
10 \node[font=\small,align=center,fill=white,inner sep=2pt] at (1.55,2.3) {2};
11 \draw[<->,line width=.8pt] (4,3.5) -- (4,1.1);
12 \node[font=\small,align=center,fill=white,inner sep=2pt] at (4.25,2.3) {2};
13 \path[draw,fill=white] (1.3,3.5) circle (0.22);
14 \node[font=\small,align=center,font=\scriptsize] at (1.3,3.5) {0};
15 \path[draw,fill=white] (4,3.5) circle (0.22);
16 \node[font=\small,align=center,font=\scriptsize] at (4,3.5) {1};
17 \path[draw,fill=white] (1.3,1.1) circle (0.22);
18 \node[font=\small,align=center,font=\scriptsize] at (1.3,1.1) {2};
19 \path[draw,fill=white] (4,1.1) circle (0.22);
20 \node[font=\small,align=center,font=\scriptsize] at (4,1.1) {3};
21 \node[font=\small,align=center] at (2.65,4.55) {Off-diagonal rates of $Q$};
22 \node[font=\small,align=center,font=\scriptsize] at (2.65,0.05) {Top pair A; bottom pair B};
23 \node[font=\small,align=center,font=\small] at (8.78,4.65) {Mode signs (each divided by 2)};
24 \path[draw=black!30,fill=black!8] (7.2,3.16) rectangle (7.99,3.95);
25 \node[font=\small,align=center,font=\small] at (7.595,3.555) {$1$};
26 \path[draw=black!30,fill=black!8] (7.99,3.16) rectangle (8.78,3.95);
27 \node[font=\small,align=center,font=\small] at (8.385,3.555) {$1$};
28 \path[draw=black!30,fill=black!8] (8.78,3.16) rectangle (9.57,3.95);
29 \node[font=\small,align=center,font=\small] at (9.175,3.555) {$1$};
30 \path[draw=black!30,fill=black!8] (9.57,3.16) rectangle (10.36,3.95);
31 \node[font=\small,align=center,font=\small] at (9.965,3.555) {$1$};
32 \path[draw=black!30,fill=black!8] (7.2,2.37) rectangle (7.99,3.16);
33 \node[font=\small,align=center,font=\small] at (7.595,2.765) {$1$};
34 \path[draw=black!30,fill=black!8] (7.99,2.37) rectangle (8.78,3.16);
35 \node[font=\small,align=center,font=\small] at (8.385,2.765) {$-1$};
36 \path[draw=black!30,fill=black!8] (8.78,2.37) rectangle (9.57,3.16);
37 \node[font=\small,align=center,font=\small] at (9.175,2.765) {$1$};
38 \path[draw=black!30,fill=black!8] (9.57,2.37) rectangle (10.36,3.16);
39 \node[font=\small,align=center,font=\small] at (9.965,2.765) {$-1$};
40 \path[draw=black!30,fill=black!8] (7.2,1.58) rectangle (7.99,2.37);
41 \node[font=\small,align=center,font=\small] at (7.595,1.975) {$1$};
42 \path[draw=black!30,fill=black!8] (7.99,1.58) rectangle (8.78,2.37);
43 \node[font=\small,align=center,font=\small] at (8.385,1.975) {$1$};
44 \path[draw=black!30,fill=black!8] (8.78,1.58) rectangle (9.57,2.37);
45 \node[font=\small,align=center,font=\small] at (9.175,1.975) {$-1$};
46 \path[draw=black!30,fill=black!8] (9.57,1.58) rectangle (10.36,2.37);
47 \node[font=\small,align=center,font=\small] at (9.965,1.975) {$-1$};
48 \path[draw=black!30,fill=black!8] (7.2,0.79) rectangle (7.99,1.58);
49 \node[font=\small,align=center,font=\small] at (7.595,1.185) {$1$};
50 \path[draw=black!30,fill=black!8] (7.99,0.79) rectangle (8.78,1.58);
51 \node[font=\small,align=center,font=\small] at (8.385,1.185) {$-1$};
52 \path[draw=black!30,fill=black!8] (8.78,0.79) rectangle (9.57,1.58);
53 \node[font=\small,align=center,font=\small] at (9.175,1.185) {$-1$};
54 \path[draw=black!30,fill=black!8] (9.57,0.79) rectangle (10.36,1.58);
55 \node[font=\small,align=center,font=\small] at (9.965,1.185) {$1$};
56 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (7.05,3.555) {constant};
57 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (7.05,2.765) {within};
58 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (7.05,1.975) {between};
59 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (7.05,1.185) {mixed};
60 \node[font=\small,align=center,font=\scriptsize] at (7.595,4.18) {0};
61 \node[font=\small,align=center,font=\scriptsize] at (8.385,4.18) {1};
62 \node[font=\small,align=center,font=\scriptsize] at (9.175,4.18) {2};
63 \node[font=\small,align=center,font=\scriptsize] at (9.965,4.18) {3};
64 \node[font=\small,align=center,font=\small] at (11.7,3.555) {$0$};
65 \node[font=\small,align=center,font=\small] at (11.7,2.765) {$-2$};
66 \node[font=\small,align=center,font=\small] at (11.7,1.975) {$-4$};
67 \node[font=\small,align=center,font=\small] at (11.7,1.185) {$-6$};
68 \node[font=\small,align=center,font=\scriptsize] at (11.7,4.18) {rate};
69 \end{tikzpicture}
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