Found this to get it started:
Kilian Jornet, 25, one of the world's great endurance runners, has speed soloed the long, technical and exposed Innominata on the Italian side of Mont Blanc in a scant 6:17. The time is amazing on many levels. While technically the climb is easier than the north faces of the Eiger or the Matterhorn, the scale is much greater and the objective dangers are higher. Jornet, who is not even known as a climber, started from the church in Courmayeur at roughly 3,300 feet and ran the 12,000 feet to the summit of Mont Blanc, then ran over 12,000 feet down the French side arriving at the church in Chamonix in a total time of 8:43.
He covered over 24,000 vertical feet, climbing and running roughly 20 miles over glaciers, loose rock faces and miles of snow and ice slopes, all solo.
And some footage here of the guy in running shoes crossing the flats at the foot of l'Aiguille du Midi. Just because he can.
I wonder if he used YakTraks...