N.Y. IND Law § 52

§ 52. Enforcement of judgments. If any party shall fail to comply\nwith, or fulfil the directions or finding of the peacemakers in any\nmatter heard or determined by them in pursuance of law, within the time\nfixed by such determination, the party in whose favor such determination\nmay be, shall be entitled to recover the amount awarded to him, by such\ndetermination with costs, in an action in justice's court before any\njustice of the peace of the county in which such reservation or a part\nthereof is situated, in which action, a copy of the record of such\ndetermination, certified to by said clerk, shall be conclusive evidence\nof the right of recovery, and of the amount of such recovery, and\nexecutions shall be awarded to enforce the collection of the judgment\nobtained thereon in the same manner and with the like effect as against\nwhite persons, and the property and person of the defendant in such\naction shall be liable to seizure and sale or imprisonment, as in like\ncases against white persons. In case the action or proceeding is one\nnot within the jurisdiction of justice's courts, the application may be\nmade to a court having jurisdiction of actions of the same nature.\n