The Center for Applied Mathematical Sciences is an organized research unit
based in the Department of Mathematics
The purpose of CAMS is to foster research and graduate education in
Mathematics in a broad sense and in an interdisciplinary mode. One goal
of the center's participants is to facilitate and encourage the development of
applicable mathematics and its utilization in problems in engineering and the
CAMS Prize Winners
Winners of the CAMS Graduate Student Prize for Excellence in Research with a Substantial Mathematical Component.
In this lecture I will review work that concerns the behavior of surfaces and fronts in a periodic media that is highly oscillatory: minimal surfaces, whose area is weighted by a periodic factor, capillary drops sitting in a composite surface, the effective speed of flame propagation in periodic media.
I will talk about various ``mixing'' questions that have attracted interest recently. For instance, ``Can you stir your coffee to keep it hot for longer'', or ``How well can you stir cream into your coffee, and at what cost?''.Mathematically these questions translate into studying a negative Sobolev norm of a passively advected scalar. The study of such questions also involves very interesting connection Bressan's (still open!)...
Quickest change-point detection is a branch of statistics concerned with the design and analysis of reliable statistical machinery for rapid anomaly detection in ``live'' monitored data. The subject's current state-of-the-art detection procedure is the recently proposed Generalized Shiryaev--Roberts (GSR) procedure (it was proposed in 2008, but the paper was published only in 2011). Notwithstanding its ``young age'', the GSR procedure...