Function estimation over the Besov spaces under pointwise ℓr (1 ≤ r < ∞) risks is considered. Minimax rates of convergence are derived using a constrained risk inequality and wavelets. Adaptation ...

The discrete ordinate method is a numerical technique used for obtaining approximate solutions to the transport equation. The approximate solutions are shown to converge pointwise to the exact ...

Modern pointwise ergodic theory developed largely out of the work of Bourgain in the late 80s and early 90s, but recent efforts over the past 10 years have seen the field develop in new directions, as ...