* 2. The tenant has defaulted in the payment of rent, pursuant to the
agreement under which the premises are held, and a written demand of the
rent has been made with at least fourteen days' notice requiring, in the
alternative, the payment of the rent, or the possession of the premises,
has been served upon him as prescribed in section seven hundred
thirty-five of this article. Any person succeeding to the landlord's
interest in the premises may proceed under this subdivision for rent due
his predecessor in interest if he has a right thereto. Where a tenant
dies during the term of the lease and rent due has not been paid and the
apartment is occupied by a person with a claim to possession, a
proceeding may be commenced naming the occupants of the apartment
seeking a possessory judgment only as against the estate. Entry of such
a judgment shall be without prejudice to the possessory claims of the
occupants, and any warrant issued shall not be effective as against the
occupants. * NB Effective June 15, 2034