Department of Mathematics and Statistics
Talks for the week February 2-6, 2009 (previous week)
Analysis Seminar: "Brownian Motion on Time Scales"  Click to add this event to your calendar
Date Monday, February 02, 2009
Time 4:00 pm – 5:00 pm CST
Where Room G4, Rolla Building
Event Type Lectures & Seminars
Presenter David Grow
Sponsored by Department of Mathematics and Statistics
Contact David Grow
Description We will prove the existence of Brownian motion on a specific closed subset T of the unit interval. The set T has certain "regularity" properties that allow the construction to proceed without undue technical difficulties and yet it has infinitely many "gaps" so it gives the flavor of how the argument goes for a general time scale. If time permits, a key partition lemma will be stated and discussed which allows an analogous construction to proceed on a general time scale.
More http://web.mst.edu/~bohner/seminar/seminar.html
Topology/Algebra Seminar: "Intro to Contact Algebras (Continued)"  Click to add this event to your calendar
Date Thursday, February 05, 2009
Time 4:00 pm – 5:00 pm CST
Where Room G-5, Rolla Building
Event Type Lectures & Seminars
Presenter Dr Matt Insall
Sponsored by Mathematics and Statistics
Contact Robert Roe
Description In [1], Dimiter Vakarelov describes the concept of a contact algebra, which was introduced by Dimov and Vakarelov in [2] to help formalize a notion, championed by Whitehead in [3], of "contact" between regions in space. Formally, a contact algebra is a pair A=(B, C), where B=(B,0,1,^,v,~) is a Boolean algebra, and C is a binary relation on the set B, such that the following hold:

(C1) xCy implies x>0; (C2) xC(yvz) if either xCy or xCz; (C3) xCy implies yCx; (C4) x^y>0 implies xCy.

Examples of contact algebras include the algebra of regular closed subsets of a topological space, and the algebra of regular open subsets of a topological space.

This kind of "pointless" topology, or "pointless" geometry, has applications in artificial intelligence and knowledge representation, via qualitative spatial reasoning, and represents a fertile area of interaction between classical Boolean algebra, topology and logic.

[1] D. Vakarelov, Region-Basel Theory of Space: Algebras of Regions, Represent at ion Theory, and Logics, In: Mathematical Problems from Applied Logic. Logics for the XX-Ist Century. II. Edited by Dov M. Gabbay et. al. Int'l Mathematical Series, 5, Springer, 2007.
[2] G. Dimov and D. Vakarelov, Contact algebras and region-based theory of space. A proximity approach. I, Fundam. Inform. (2006)
[3] A. N. Whitehead, Process and Reality. New York, MacMillan, 1929.
Faculty Talent Show  Click to add this event to your calendar
Date Friday, February 06, 2009
Time 7:30 pm – 9:30 pm CST
Where Leach Theatre, Castleman Hall
Event Type Arts & Entertainment
Description This fundraiser for Engineers Without Borders features music, dance and humor from a full cast of characters.
Sponsored by Engineers Without Borders
Contact Chris Weisbrook
Directed By Jeanne Stanley, Chris Weisbrook, Charlotte Divincen
Age Range All Ages
Cost $5 general admission; $10 and $25 VIP seating
Ticket Web Link leachtheatre.doc.mst.edu…
Ticket Phone 341-4219
MPAA Rating PG