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

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Stealth,font=\sffamily\small,
2  box/.style={draw=black!60,fill=black!3,rounded corners=2pt,align=center,minimum height=.68cm,inner sep=7pt},
3  arrow/.style={->,line width=.8pt},note/.style={font=\sffamily\scriptsize,align=center}]
4 
5 \node[box] (a) at (0,1.5){$w=e_0-e_1$};\node[box] (b) at (6.1,1.5){$K_\varepsilon w$};
6 \node[box] (c) at (0,-.2){$Cw=0$};\node[box] (d) at (6.1,-.2){$CK_\varepsilon w=(-1,1)^T/16$};
7 \draw[arrow](a)--node[above]{$K_\varepsilon$}(b);\draw[arrow](a)--node[left]{$C$}(c);\draw[arrow](b)--node[right]{$C$}(d);
8 \draw[dashed,arrow](c)--node[above]{?}(d);
9 \node[note]at(3.05,-1.15){No linear coarse map can make this step: $0$ must map to $0$.};
10 
11 \end{tikzpicture}

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