N.Y. Real Prop. Tax Law § 518
Where the assessor receives a report of a transfer occurring after the taxable status date, or is otherwise notified of a change in tax billing address, the assessor shall enter the new tax billing address on the data file, as that term is defined in section fifteen hundred eighty-one of this chapter. Where no such data file exists, the assessor shall enter the new tax billing address on the assessment roll. If the assessor does not have custody of the assessment roll when such report is received, he or she shall report the new tax billing address to the person having custody of the tax roll, which person shall enter the new tax billing address on the tax roll. Nothing contained herein shall be construed to authorize a change of the name of the owner included in the data file or appearing on the roll.
N.Y. Real Prop. Tax. Law § 518