Madonna and her family go in and out of her New York city apartment on Tuesday amidst a sea of controversy.

Lourdes, 11 1/2, heads out with her father Carlos Leon, while Rocco, 7 1/2, arrives with his father Guy Ritchie. Lourdes and Rocco appear to be taking things in stride despite the recent intense media attention.

Madonna, 49, continues to deny rumors that she she is getting a divorce from husband Guy. She has also gone on record to dispute any romantic involvement with New York Yankees 3rd baseman, Alex Rodriguez.

10+ pictures of Lourdes Leon learning life lessons… More Here! »

Madonna finally speaks out on her own accord, denying that she is divorcing director Guy Ritchie or having an affair with Yankee star Alex Rodriguez.

Madge tells People: “My husband and I are not planning on getting a divorce. I know Alex Rodriguez through Guy Oseary, who manages both of us. I brought my kids to a Yankee game. I am not romantically involved in any way with Alex Rodriguez. I have nothing to do with the state of his marriage or what spiritual path he may choose to study.”

She adds, “I have learned over the years not to take accusations and the many false reports about me very seriously. I also appreciate how fiction and fact seem to be perceived as one and the same by people who read both newspapers and the internet.”

Madonna arrives at the Kabbalah Center for Saturday Service with director husband Guy Ritchie (pictured below) and daughter, Lourdes, 11 1/2, in New York City.

The three of them were stuck in the car for a little while because of the rain.

This past week, Madonna has been under fire for breaking up her marriage to Guy as well as the marriage of New York Yankees player Alex Rodriguez and his wife Cynthia. These rumors were vehemently denied by the Madge’s rep.

10+ pictures inside of headband hottie Lourdes Leon… More Here! »

Madonna and Guy Ritchie are spotted arriving for dinner together at Cesca Restaurant in New York City on Tuesday.

Guy Ritchie arrived in New York on June 30 to have a talk with Madonna, reportedly to work out their marital issues. Madonna attended Manhattan’s Kabbalah Centre Friday and Saturday.

Madonna’s rep tried to put all rumors to rest by stating simply, “There are no plans for Madonna and Guy to divorce.”

More Here! »

Madonna’s spokeswoman is shooting down rumors that the singer’s marriage to director husband Guy Ritchie is on the rocks and she’s not cheating with New York Yankees star Alex Rodriguez.

Liz Rosenberg tells People: “Madonna’s husband Guy arrived in New York last night to be with his wife and family (not in a last ditch attempt to save his marriage which does not need saving). There are no plans for Madonna and Guy to divorce.”

She continues, “Madonna and Alex have the same manager, Guy Oseary. They have met. They know each other and Madonna took her kids to a Yankees game last week. There’s really not anything to comment on beyond that. It’s nothing new that people are airing tons of dirty laundry Madonna’s way lately – much of it untrue.”

Rosenberg jokes, “By the way, rumors of Madonna and Lil Wayne are quite exaggerated as well.”

Madonna’s seven-year marriage to director Guy Ritchie is on the fritz because Madge has been having “special” late night visits with New York Yankee Alex Rodriguez at her Central Park West apartment in New York City, reports Us Weekly.

Here are the mag’s details:

– Rodriguez, who makes $28 million/year, has been meeting Madonna at her NYC home and would sneak out “as late as midnight.” Says the source, “All the doormen are talking.”

– Rodriguez attended Madonna’s April 30 NYC concert

– Madonna, 49, sat in Rodriguez’s seats at a Yankees game on June 22 (it was her first time getting photographed at a Yankees game).

– Rodriguez, 32, married with two young daughters, has already faced speculation about cheating: In 2007, he and a stripper were reportedly spied in Toronto, Miami and Dallas.

FYI: A ringless Guy Ritchie, 39, arrived in New York City from London yesterday after almost a month apart from his family.

DO YOU THINK Madonna is cheating on Guy Ritchie with Alex Rodriguez?

Madonna attends Sabbath service at Manhattan’s Kabbalah Centre Friday night with her three children and ex, Carlos Leon. No wedding ring on her finger and no husband in sight!

The 49-year-old Material Mom has been dealing with her reported upcoming divorce to husband of seven years, Guy Ritchie.

Madonna’s kids — Lourdes, 11 1/2, Rocco, 7 1/2, and David, 2 1/2, were also spotted at the Kabbalah center.

10+ pictures of Madonna in mourning… More Here! »

Madonna and Guy Ritchie have reportedly agreed to end their seven-year marriage.

A friend said last night: “They were both very calm. Madonna told Guy: ‘I’m sorry, I want a divorce’. And he agreed. It was quite painless but very sad.”

One disclosed to the Daily Mirror: “He’s a bit down in the dumps, and who can blame him. He’s off to the country to get a bit of peace and quiet.”

Madonna, 49 reportedly has begun seeking advice from divorce attorney Fiona Shackleton, who represented Paul McCartney in his divorce. Ritchie, 39, is believed to be consulting with Forsters, a lesser-known London law firm.

The couple apparently did not have a prenuptial agreement which could potentially lead to a 50-50 split of assets.

Madonna is believed to be worth about $600 million.