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-rwxr-xr-xheader.tex2
-rwxr-xr-xmain.tex13
2 files changed, 14 insertions, 1 deletions
diff --git a/header.tex b/header.tex
index 2fa0856..98eef2d 100755
--- a/header.tex
+++ b/header.tex
@@ -65,7 +65,7 @@
% Layout
% \usefonttheme[onlymath]{serif}
-\usefonttheme[stillsansseriflarge]{serif}
+\usefonttheme[stillsansseriflarge,stillsansserifsmall]{serif}
% \useinnertheme{rounded}
\usecolortheme{seahorse}
\usecolortheme{orchid}
diff --git a/main.tex b/main.tex
index 4ad8575..04a91b6 100755
--- a/main.tex
+++ b/main.tex
@@ -58,6 +58,7 @@
\begin{frame}
{Some references}
\begin{itemize}
+ \itemsep.2cm
\item \fullcite{MR3509213}
\item \fullcite{pavliotis2011applied}
\item Lecture notes by Gabriel Stoltz on computational statistical physics:
@@ -108,6 +109,7 @@
\[
\rho = \int_{0}^{\infty} \expect_{\mu} \bigl[\varphi(x_t) \phi(x_0)\bigr] \, \d t.
\]
+ We will derive this formula from linear response.
\item
Transient techniques:
\end{itemize}
@@ -136,6 +138,17 @@
\end{theorem}
\end{frame}
+\begin{frame}
+ {Existence of an invariant measure for noneq.\ dynamics}
+ Consider the paradigmatic dynamics
+ \begin{align*}
+ \d q_t &= M^{-1} p_t \, \d t, \\
+ \d p_t &= - \bigl(\grad V(q_t) + \eta F\bigr) \, \d t - \gamma M^{-1} p_t \, \d t + \sqrt{\frac{2 \gamma}{\beta}} \, \d W_t,
+ \end{align*}
+ where $(q_t, p_t) = \torus^d \times \real^d$ and $F \in \real^d$ with $\abs{F} = 1$ is a given direction.
+
+\end{frame}
+
\end{document}
% vim: ts=2 sw=2