New York Consolidated Laws, Real Property Law - RPP § 229. Liability of tenant holding over after giving notice of intention to quit

If a tenant gives notice of his intention to quit the premises held by him, and does not accordingly deliver up the possession thereof, at the time specified in such notice, he or his personal representatives must, so long as he continue in possession, pay to the landlord, his heirs or assigns, double the rent which he should otherwise have paid, to be recovered at the same time, and in the same manner, as the single rent.