Develops and analyzes approximate methods of solving the Bayesian inverse problem for high-dimensional dynamical systems. After briefly reviewing mathematical foundations in probability and statistics ...

Hopefully you have come to the conclusion that this is in fact impossible. The reason for this is that length and area have different units, and quantities with different units cannot be added ...

One hundred twenty years after it was first discovered, mathematicians have successfully mapped out a 248-dimensional object called E8. The complete description of E8—one of the most complicated ...

We develop a white noise calculus for pure jump Lévy processes on the Poisson space. This theory covers the treatment of Lévy processes of unbounded variation. The starting point of the theory is the ...

Dr. Uhlenbeck helped pioneer geometric analysis, developing techniques now commonly used by many mathematicians. By Kenneth Chang For the first time, one of the top prizes in mathematics has been ...