Does the SONY RX1 have image stabilization?

RX1 does not have any optical IS.

But it does have digital IS via Steady Shot (r

where processor will calculate the impact of your body movement and use that data to adjust which pixels on the camera's image sensor are being used.

"Digital image stabilization only makes sense for digital video as it pixel shifts the image frames to create a more stable video image."

http://www.dpreview.com/learn/?/Glossary/Optical/Image_Stabilization_01.htm