Changed section titles.

1 files changed, 3 insertions, 1 deletions

diff --git a/stokes.tex b/stokes.tex
index fdc8e69..f417f07 100644
--- a/stokes.tex
+++ b/stokes.tex
@@ -74,7 +74,7 @@ landscapes, which are typically constructed from the limits of series or
 integrals of analytic functions which are not themselves analytic
 \cite{Cavagna_1999_Energy}.
 
-\section{Dynamics}
+\section{Integration by Lefschetz thimble}
 
 Consider an $N$-dimensional hermitian manifold $M$ and a Hamiltonian $H:M\to\mathbb C$. The partition function
 \begin{equation}
@@ -111,6 +111,8 @@ Morse theory provides the universal correspondence between contours and thimbles
 Each of these integrals is very well-behaved: convergent asymptotic series
 exist for their value about the critical point $\sigma$, for example. One must know the integer weights $n_\sigma$.
 
+\section{Gradient descent dynamics}
+
 For a holomorphic Hamiltonian $H$, dynamics are defined by gradient descent on
 $\operatorname{Re}H$. In hermitian geometry, the gradient is given by raising
 an index of the conjugate differential, or