Some general results concerning the asymptotic behavior of the value of the empirical distribution function at a random point (e.g. the sample mean) are given. These results are then used to obtain: ...

This work establishes the first asymptotic stability result for multi-wave patterns in damped wave equations with partially linearly degenerate flux. The authors prove that global solutions converge ...

The study of large-time behavior of solutions to partial differential equations is a fundamental pursuit in mathematical analysis, with profound ...

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...