N.Y. Jud. Law § 402

§ 402. Sheriff or deputy to attend term of appellate division. A term\nof the appellate division of the supreme court must be attended by the\nsheriff of the county in which it is held, his under sheriff, or one of\nhis deputies, each of whom must act under the direction of the court or\nof the presiding justice. The sheriff of the county must cause the room\nin which a term of the appellate division is held to be properly heated,\nventilated, lighted, and kept comfortably clean and in order. The\nsheriff must also provide the court with all necessary stationery and\nminute-books, upon the written requisition of the court or of the\njustice presiding at the term, and shall defray the necessary expense of\ntelegraphing the day calendar to such county clerks as the court shall\ndirect; also the necessary expense of transmitting printed cases and\npapers to the reporter; to the various libraries and to the justices of\nthe appellate division. The fees of the sheriff for attending a term of\nthe appellate division and all expenses incurred by a sheriff in\nobedience to this section must be audited by the comptroller and paid\nout of the treasury of the state.\n