-the TV is creating a lot of ARP traffic.
-It tries to communicate over SSDP with 188.8.131.52 which means it's trying to find something by multicasting
No incoming traffic to 10.0.0.31 appears, maybe it's getting the updates over the cable provider's network.
Please comment if you have any more information on how these updates work.
Actually I later realized that all I saw was the broadcast traffic, because of the switched network. I'll have to re-do this next time the TV gets on my nerves with connecting to Samsung and downloading updates.