N.Y. Comp. Codes R. & Regs. tit. 22 § 206.15
Whenever a note of issue has been filed and the claimant is not ready for trial or fails to appear for a scheduled trial date, or if the assigned judge has directed that the claim be ready for trial by a particular date and the defendant is ready to proceed with the trial but the claimant is not so ready, the assigned judge, upon motion by the defendant or upon the judge's own motion, may dismiss the claim unless sufficient reason is shown why such claim should not be tried at that time. An order dismissing a claim pursuant to this section or any section of this Part, or pursuant to the Court of Claims Act or the CPLR shall not be vacated except upon stipulation of all parties so ordered by the court or by motion on notice to all other parties, supported by an affidavit showing sufficient reason why the order should be vacated and the claim restored. Such application shall be made to the judge who granted the order of dismissal unless he or she is no longer a member of the court, in which event application shall be made to the presiding judge.
N.Y. Comp. Codes R. & Regs. Tit. 22 § 206.15