This is definitely the downside of the things that come with fame and fortune. There are some crazies out there who want nothing more than to get close to you, by ANY means necessary. One such person stalked the home of Halle Berry not once but TWICE this weekend, and naturally Halle is NOT taking this well. Details after the jump.

Marisa Mendez

Law enforcement sources tell TMZ … Halle was in her kitchen yesterday when she looked out the window and saw a man staring at her … holding some sort of book.

Halle ran to the phone, called 911 and the chase began. An LAPD helicopter circled Halle’s home and the area nearby for nearly half an hour, trying in vain to locate the trespasser. A number of officers in squad cars were on the hunt as well.

Sources say the suspect is the same guy who jumped Halle’s security wall on Saturday, triggering the first 911 call.

Law enforcement believes the suspect is an obsessed fan, possibly hell-bent on getting Halle’s autograph … but they haven’t ruled out a renegade paparazzo.