Chad Jennings reported yesterday that Chad Gaudin and Boone Logan have both filed for arbitration. Like he mentions, both players can still negotiate a deal with the Yanks prior to the arbitration hearings, which take place in February. He also explains how the process will go on from now:
The players and Yankees will submit salary figures on Tuesday, and if the cases make it all the way to a hearing, an arbitrator will choose one number or the other. But contracts are quite often negotiated before an actual arbitration hearing.
One way or another this isn't a big deal for the Yanks. They'll likely end up with both at reasonable prices.