Hello,


Thanks for reading my question ! Could anybody give me some references ( books, papers containing elementary results etc ) on the eigen values and eigenspectra of NON-compact Riemann surfaces. I studied the compact cases briefly and want to know the analogues or further results for the non-compact ones.


Also, I need some references on probabilistic results on compact or non-compact Riemann surfaces, like random walks and Brownian motion on them etc.


Thank you !



Books about the spectra of non-compact Riemann surfaces
If your French is alright, Nicolas Bergeron has written a beautiful book, *Le spectre des surfaces hyperboliques*, available [here](http://www.math.jussieu.fr/~bergeron/Travaux_files/bergeron.pdf), which covers many of these topics in detail.


