In general I have incoming connections disabled by my security software (Little Snitch). But even when I do this, on public wifi, I see numerous incoming connections for netbios and mDNSResponder allowed automatically.
For example, at a recent hotel stay, I was confronted with a long list as soon as a logged on to the wifi there (listed as automatically allowed by Little Snitch)

which quickly grew to the thousands

What are these incoming connections for? Why are they being automatically allowed? Are they a security threat?
Note that if I explicitly block all of these connections using Little Snitch, my network access fails, but the network still seems to function when I alternatively block incoming connections using Apple's (OS X 10.9) firewall

and enable stealth mode

netbiosandmDNSresponderare system services that, among other things, gather information on who else is on the network such that services like file and printer sharing can work. The connections are not harmful (as far as I know). I'm not sure why Little Snitch allows them by default. – Saaru Lindestøkke Dec 14 '13 at 20:33