When we look at a differential equation in a very irregular
media (composite material, mixed solutions, etc.) from very close,
we may see a very complicated problem. However, if we look from far
away we may not see the details and the problem may...
In math, one often studies random aspects of deterministic
systems and structures. In CS, one often tries to efficiently
create structures and systems with specific random-like properties.
Recent work has shown many connections between these two...
In these lectures we will describe the relationship between
optimal transportation and nonlinear elliptic PDE of Monge-Ampere
type, focusing on recent advances in characterizing costs and
domains for which the Monge...
