N.Y. Jud. Law § 791

§ 791. Issue and contents of warrant. The clerk must immediately issue\na warrant, under the seal of the court, directed to the sheriff of the\ncounty, and commanding him to collect from each of the persons named in\nthe schedule annexed to the warrant, the sum therein set opposite that\nperson's name; and to pay over the sum collected to the treasurer of the\ncounty. The clerk must include in the said annexed schedule the name of\neach person who has been fined, prior to the issuing thereof, and whose\nfine remains then wholly or partly unpaid, and not remitted by the\ncourt. The warrant is the process of the court, by which the fines were\nimposed. If a delinquent resides in another county, a separate warrant,\nfor the collection of the fine imposed upon him, with an appropriate\nschedule annexed thereto, must be issued, in like manner, to the sheriff\nof the county where he resides.\n