N.Y. Jud. Law § 193
If the county judge of Suffolk county, Dutchess county, Ulster county or Schenectady county is for any reason incapacitated, disqualified, or incapable to act in an action or special proceeding or other matter pending or about to be instituted in the county court of his county, or before him, or if he is for any reason absent from his county, then the action or special proceeding or other matter may be continued or instituted before either a justice of the supreme court within the same judicial district as the county judge or the surrogate of the county, who shall possess the same power and authority in the action or special proceeding or other matter which the county judge possesses in a like action or proceeding or matter brought in the county court.
N.Y. Jud. Law § 193