Wasserstein distance is a measure of the distance between two probability distributions over a given metric space. It provides a way to quantify how much 'effort' is needed to transform one distribution into another, making it a crucial concept in optimal transport theory. This notion is particularly relevant in recent developments in geometric analysis, where it connects geometric properties of spaces with the behavior of distributions.
congrats on reading the definition of Wasserstein Distance. now let's actually learn it.