Running vs. walking in slippery condition We are experiencing warmer weather than normal, which is causing the snow to melt and re-freeze daily. This has led to very slippery conditions. 
A few years ago, I was running in similar conditions, and I got to an area where the ice started to feel more slippery. So my reaction was to stop running and start walking. To my surprise, it was harder to walk in the icy conditions than it was to run: it felt as I was slipping with every single step. 
Today, in light of the conditions, I tried the experiment again, and my sensations seemed to confirm what I felt the previous time. 

Is there any physical basis to what I felt? Is it possible that running on ice produces a more stable footing than walking does?

If it makes any difference, the ice is of course not smooth, and one is usually slipping on the "slopes" of small creases. 
 A: https://www.sciencedaily.com/releases/2011/03/110324103610.htm
"Biomechanics researchers Timothy Higham of Clemson University and Andrew Clark of the College of Charleston conclude that moving quickly in a forward, firm-footed stance across a slippery surface is less likely to lead to a fall than if you move slowly. Approaching a slippery surface slowly hinders the necessary task of shifting the center of mass forward once foot contact is made."
"The key to avoiding slips seems to be speed and keeping the body mass forward, slightly ahead of the ankles after the foot contacts the ground."
"Once the knee passes the ankle during contact with slippery ground, slipping stops."
A: There would seem to be two opposing factors:


*

*To avoid the ratio of (a) the transverse force between your shoe and the ice to (b) the force that your shoe applies normal to the ice must be less than the coefficient of static friction, $\mu_s$:
$$ \frac{F_\text{transverse}}{F_\text{normal}} <\mu_s $$
This probably favors walking over running but this may depend on your running or walking style.

*As the ice melts, the surface becomes much more slippery.  More ice will melt the longer that your (warm) shoe remains in contact with the ice. Since running likely involves faster foot steps, this favors running over walking. 
In sum, which is better depends on your running vs walking style and on the temperature difference between shoe and ice.
A: I've also found that walking feels more risky than running.  I believe there are three contributors.  When walking, you apply some force forward when your foot lands, and you push backward just before lifting your foot.  Either might start a slip.  When running, the strike and push-off points are more nearly directly under you.  When running, you're also out of contact with the ground at least half the time.  If one foot starts to slide to one side, you can compensate by moving where you plant the other foot.  There's time while you're airborne to make that adjustment.  If a foot slips while walking, it will tend to slip further and get more leverage than when running, so you build up more angular momentum, and there's no delay to let your body figure out the appropriate adjustment.
Of course, slanted ground and curves are harder to handle while running.
