N.Y. Real Property Tax Law § 489-W
1. Any reduction in a railroad ceiling established pursuant to this title or title two-B of this article resulting from amendments to this title or title two-B of this article effective in the year two thousand three for assessment rolls filed in two thousand three through two thousand eight shall be adjusted as follows:
2. State assistance shall be paid pursuant to this section, beginning in the year two thousand three, to municipal corporations and special districts that are affected by amendments to this title or title two-B of this article enacted in the year two thousand two; provided that the determination of such assistance shall be subject to the approval of the director of the budget.