N.Y. Jud. Law § 160
If an official stenographer shall not be in attendance at a trial term of the supreme court, or a special term of the supreme court where issues of fact are triable, the justice presiding at the term may, in his discretion, employ a stenographer who shall be paid such compensation as the justice shall by his certificate fix, not to exceed thirty dollars for each day's attendance, and ten cents for each mile for travel to and from his residence to the place where the term is held, together with a reasonable sum for his necessary expenses and stationery. The sum so fixed shall be a charge upon the county in which the term shall be held, and shall be paid by the county treasurer upon such certificate from the court fund or the fund from which jurors are paid.
N.Y. Jud. Law § 160