Some terrestrial predators "stalk" their prey: they sneak up on it slowly, maintaining a low profile, while keeping as close to silent as possible. This makes sense from an evolutionary perspective: silent predators catch more prey.
However, the prey near where I live are hopelessly noisy. Deer will freeze if they suspect the presence of a predator, then bolt when they see one for sure. Squirrels and other small mammals run around at top speed all the time - you can hear them dozens of feet away, rustling the dead leaves around. Hedgehogs just wander, making a similar noise. It seems like the only "stealth" option they have, as far as sound is concerned, is to remain still.
Are there any examples of terrestrial herbivores evolving to move more quietly in order to avoid predation? I'm not looking for a comprehensive list, but rather simply individual examples.