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\section{Asteroseismology}  \subsection{Observations}  Space-based photometry from CoRoT and {\it Kepler} has detected radial and non-radial oscillations in over ten thousand red giants   \citep{deridder09,bedding10,2012A&A...548A..10M,stello13}.   These modes are present due to vigorous convection within the star (see  
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The presence of a convective envelope can lead to the stochastic excitation of p-modes. This phenomena has been discovered in the Sun (solar-like oscillations) and later observed in other stars with a convective envelope (Red giants) or subsurface convection layers (OB stars).  Predictions for the amplitudes and lifetime of non-radial solar-like oscillations in red giant stars have been discussed extensively in \citet{Dupret:2009}.  \subsection{Models}  The splitting of mixed modes has been observed in low-luminosity red-giant stars. Higher luminosity red-giants are harder to observe, as larger radii lead to smaller frequency separations, that are harder to measure in the power spectrum.   %For KEPLER, the sampling rate of the long-cadence mode restricts the sensitivity to frequencies below $\sim 280\mu$Hz (Nyquist frequency).