Please include your system information as requested at https://github.com/ValveSoftware/steam-for-linux#reporting-issues, in particular the CrashID section which let's a valve dev take a look at the minidump.
I looked at a few of your crashes and it's segfaulting in the Miles audio library. There was a Miles issue on Fedora due to selinux but I'm not sure if this is the same issue.
There is a workaround at https://github.com/ValveSoftware/steam-for-linux/issues/375#issuecomment-13636823 which does not wholesale break selinux.
any more details on this ?
I updated the steam client recently and today I had the issue that it would crash randomly and very often.
I started the client, started Dota to review some items I bought and steam crashed randomly. After this my activity in Steam only consisted of writing messages to a friend, but it still crashed often. (In about 20 minutes - 14 times).
After a few crashes I started it by command line to get the log-output, but it only was
"/home/$username/.local/share/Steam/steam.sh: line 755: 16878 Segmentation fault (core dumped) $STEAM_DEBUGGER "$STEAMROOT/$PLATFORM/$STEAMEXE" "$@" "
And it created a .dmp file in /tmp/dumps/. If it would be possible to attach those .dmp files, I would upload it here.
Edit: System information: https://gist.github.com/Sheldan/f3181c532b2cefe9b9e0