Tunneling to the origin
Random walk reaches the origin without hitting the points in a set through radial (beige) and annular (blue) tunnels.
Sua Myong taught me to convey the message of a paper through its figures. While this isn’t the standard in mathematics research, I incorporate it as best I can. Here are some examples from my past projects.
Local–global relationships
Visualizing the relationship between the local and global 'parts' of Markov chain stationary distributions.
Collective behavior vs. number
Experiments show that the behavior of collectives, broadly construed, can depend sensitively on how numerous they are.