Five Over Five, a summer exhibition of the Lehigh Art Alliance top five award winners from the past five years.

Ramsey Theory can be loosely described as stating: Given a finite partition of some structure, there exist highly-organized sub-structures within a single partition element.

We will focus on van der Waerden's Theorem, which says that given any finite partition of the natural numbers, a single partition element will contain arbitrarily long arithmetic progressions (pretty cool, eh?). The original proof of this result (1927) was, not surprisingly, combinatorial. The interesting thing for us is that in recent years (say, the last 30), approaches to this theorem, and generalizations thereof, have evolved using dynamical systems.

We'll give a description of one of these methods, due to H. Furstenberg and B. Weiss, and attempt to describe the enormous box of possibilities (some of which have come to fruition) it opened.

The Washington, D.C. Chapter of the Lafayette Alumni Association cordially invites you to attend a reception with light fare welcoming the Class of 2012. Please join incoming and current students and their families along with alumni as we celebrate the newest members of the Lafayette family.

Hosted by Susan B. Carras '76 and George A. Carras.

Kindly reply by July 11 to the Office of Alumni Affairs, alumni@lafayette.edu, (610) 330-5040 or register online using the provided link.