I'm trying to reproduce the image below with TikZ.
My code, the problem is the red curve
\documentclass{standalone}
\usepackage{tikz, tkz-fct}
\begin{document}
\begin{tikzpicture}
\node (a) [] {};
\node (b) [above=5cm of a] {};
\node (c) [] at (7,2.5) {};
\node (d) [] at (9,-4.5) {};
\draw [-latex, shorten <=-4.5pt] (a) to (b);
\draw [-latex, shorten <=-4.5pt] (a) to (c);
\draw [-, shorten <=2.3cm, shorten >=-2.3cm, dashed, transform canvas={yshift=-2cm}] (a) to (c);
\draw [-, shorten <=4.8cm, shorten >=-4.8cm, dashed, transform canvas={yshift=-4cm}] (a) to (c);
\draw [-, shorten <=7.3cm, shorten >=-7.3cm, dashed, transform canvas={yshift=-6cm}] (a) to (c);
\draw [-latex, shorten <=-4.5pt] (a) to (d);
\node [rotate=-25] at (6,-1) {\begin{tikzpicture}\tkzInit[ymin=-1.3,ymax=1.3]\tkzFct[domain=pi:4*pi]{(1./10)*sin(4*x)}\tkzDefPointByFct[draw](1.93*pi)\tkzDefPointByFct[draw](1.13*pi)\tkzDefPointByFct[draw](2.79*pi)\end{tikzpicture}};
\node [rotate=20] at (12,3.8) {\begin{tikzpicture}\tkzInit[xmin=-2, ymin=-1.3,ymax=4, xstep=0.5, ]\tkzFct[domain=-1.5:1.5, red]{(3)*exp((-1)*(5)*(\x**2))}\end{tikzpicture}};
\end{tikzpicture}
\end{document}

