In terms of snow, this is primarily interesting for the extreme southwest, i.e. the Maritime Alps and Co. It's also snowing a little in the rest of the Southern Alps, but only a little. The snowfall should subside everywhere in the course of Thursday. Friday will tend to be cloudy and a few snowflakes in the east and sunnier in the west. Saturday also looks quite sunny from today's perspective, Sunday then more mixed.
Look at the polar vortex
A major warming upset the stratosphere at the beginning of the year. The effects of something like this on the troposphere, where our weather takes place, are sometimes quite mysterious, but such a disturbance in the stratosphere tends to be followed sooner or later by a disturbed polar vortex in the troposphere. This has been on the horizon for the end of the month for a while now. At the moment, the models do not see a smooth split into two parts, but a kind of triumvirate of low pressure centers, each over eastern Canada, Scandinavia and Siberia. Although this would not necessarily bring Central Europe the temporary ice age predicted here and there, it would bring persistently cool weather of a wintry character. In this scenario, however, it would be unusually warm - one could almost call it "hot" - in Alaska and over the Arctic Ocean north of the Alaskan coast.