The main thing is the coat since the conditions are very cold.
A waterproof jacket. Closed, high, warm and if possible hiking shoes.
Gloves, wool hat and scarf.
As with walking you can perspire if the first layers of clothing are dri-fit thermal or synthetic that dry quickly is better.
The pants must allow easy movement since in the end it is very important to be comfortable. (if they are water repellent it adds up since it can touch a day with snowstorms or rain)