N.Y. Criminal Procedure Law § 140.25
1. A peace officer, acting pursuant to his special duties, may arrest a person for:
2. A peace officer acts "pursuant to his special duties" in making an arrest only when the arrest is for:
3. A peace officer, whether or not he is acting pursuant to his special duties, may arrest a person for an offense committed or believed by him to have been committed within the geographical area of such peace officer's employment, as follows:
5. For the purposes of this section, the "geographical area of employment" of a peace officer is as follows: