N.Y. Jud. Law § 79
The terms of the appellate divisions of the supreme court are to be appointed by the appellate division in each department, and are to be held at such times and places and shall continue as long as the appellate division deems proper.
An appointment of a term or terms of an appellate division must be made and filed in the office of court administration at least thirty days before the commencement of such term or terms. The governor may, when in his opinion the public interest so requires, appoint one or more extraordinary terms of the appellate division of the supreme court in any department. He must designate the time and place of holding the same and he must give notice of the appointment in such manner as, in his judgment, the public interest requires.
N.Y. Jud. Law § 79