It appears that one of entertainment's most spirited couples -- Katy Perry and Russell Brand -- are heading for divorce. After the two were spotted separately over the holidays -- neither wearing their wedding rings -- rumors of a split reached a fever pitch Thursday.

Now TMZ is reporting that Russell Brand has filed for divorce in Los Angeles citing "irreconcilable differences."

Brand has released a statement, saying, "Sadly, Katy and I are ending our marriage. I will always adore her and I know we'll remain friends."

The couple, who met at the 2008 VMAs and married in India in 2010, have no children.

Brand recently addressed the breakup rumors with Ellen DeGeneres. "There are always rumors, aren't there? In the end, you have to just not engage with Internet technology, which is difficult because a lot of the nude women websites I quite enjoy," Brand joked. "I've treated the whole Internet now like it's a wicked little liar. Yeah. I am really happily married," he added. "I'm married to Katy. Perpetually, until death do us part was the pledge."

Perry took to Twitter in November to brush off earlier rumblings. "First I'm pregnant & then I'm divorced. What am I 'All My Children'?! #ericakane #pshhh #ifihadadollarforeverytime ...," she tweeted.

As of press time, neither celebrity, both with massive followings, had addressed the court filing on Twitter.