Ian Jauslin
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@@ -80,6 +80,7 @@ The {\it condensate fraction} is defined as the proportion of particles in the c
The momentum distribution is an extension of the condensate fraction to a more general family of states.
In particular, computing $\mathcal M(k)$ for $k\neq 0$ amounts to counting particles that are {\it not} in the condensate.
This quantity has been used in the recent proof\-~\cite{FS20,FS22} of the energy asymptotics of the Bose gas at low density.
+A numerical computation of the prediction of the Simplified approach for $\mathcal M(k)$ have been published in\-~\cite{Ja23b}.
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@@ -1690,6 +1691,12 @@ so by\-~(\ref{erho}),
This, together with\-~(\ref{final1}), implies\-~(\ref{Msimpleqbog}).
\qed
+\bigskip
+\bigskip
+
+\hfil{\bf Acknowledgements}\par
+The author thanks Elliott H. Lieb, Eric A. Carlen and Markus Holzmann for many valuable discussions.
+The author acknowledges support from the Simons Foundation, Grant Number\-~825876.
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