N.Y. C.P.L.R. § 3405
The chief judge of the court of appeals may promulgate rules for the arbitration of claims for the recovery of a sum of money not exceeding six thousand dollars, exclusive of interest, pending in any court or courts except the civil court of the city of New York, and not exceeding ten thousand dollars, exclusive of interest, pending in the civil court of the city of New York. Such rules must permit a jury trial de novo upon demand by any party following the determination of the arbitrators and may require the demander to pay the cost of arbitration; and shall also provide for all procedures necessary to initiate, conduct and determine the arbitration. A judgment may be entered upon the arbitration award. The rules shall further provide for the recruitment and qualifications of the arbitrators and for their compensation; except that such rules may authorize use of judicial hearing officers as arbitrators. All expenses for compensation, reimbursement and administration under this rule shall be a state charge to be paid out of funds appropriated to the administrative office for the courts for that purpose.
N.Y. CPLR R3405