N.Y. Uniform District Court Act Law § 2601

§ 2601. Death or removal of judge not to affect proceedings. No\nprocess, action, judgment, execution or proceeding shall abate or be\ndiscontinued by reason of the death, removal from office or vacancy in\noffice of any judge, but another judge shall proceed to hear, try,\ndetermine and give judgment in and upon the same, and upon all matters\nand things pending and undecided or not acted upon.\n