Came up at a tournament today.

Reality Gem reads

"Character can use Probability Control, but only during character's turn."

As it specifies "character's turn" does this mean that it can be used only during that characters action, or does it play as PC normally does, and it is only during your turn.

I searched the forums and found no answer.
I searched the rule book and could not find any instance where it refers to a characters turn, just a characters action.

For this to make sense to me, the wording needs to change, either replacing character with player, or turn with action.

The character's turn is the controlling player's turn.

otherwise the Collector's card wouldn't state the following

REALITY GEM: Collector may begin the game with the Reality Gem attached to his base by paying its point cost. This object does not count toward your object total and is scored and removed from the game when Collector is KO'd. In addition to its normal effects, Collector can use Probability Control during an opponent's turn if the Reality Gem is attached.

Probability Control
Once during your turn, this character allows you to reroll one of your rolls, ignoring the original roll. A character using this power must be within 10 squares and line of fire to the character for which the original roll was made. Using the same rules, once per round during an opponent's turn, this character allows you to force that opponent to reroll one of their rolls, ignoring the original roll.

Using the Reality Gem you would ignore the last sentence of Probability Control.