Does statute of limitations apply after a conviction?

Warrants never go away. Address these warrants so that you do not have to look over your shoulder.

No, the statute of limitations is the time limit between the commission of the crime and the date the charges are filed. Once you are charged the statute of limitations is not an issue. You were charged and then convicted. Warrants never go away. There is also a possible new charge based on your failure to appear and serve your sentence.

Warrants and convictions do not expire and the SOL does not apply to them. You need to call an attorney to determine the best way to deal with your warrants. If you cannot afford an attorney you should turn yourself in and one will be appointed to you.

Unfortunately, warrants don't just expire or "go away" over time. The prosecuting authority (City or State) could agree to quash a warrant in some circumstances, but generally not when you are already convicted and sentenced. Since you are not in Alaska, you run the risk of being arrested on the warrant in another state and then having to deal with the extradition process. Will you be extradited for the 20 days? Perhaps not. But, the warrant will likely remain active until you deal with it. Contacting an attorney in Alaska makes the most sense in this situation. Otherwise, the warrant will remain.