Talks for the week November 3-7, 2008 (previous week)
Time Scales Seminar: "Regulator with function of final
state fixed"  | |
| Date | Wednesday, November 05, 2008 |
| Time | 4:00 pm - 4:50 pm CST |
| Where | Room G-5, Rolla Building |
| Event Type | Lectures & Seminars |
| Presenter | Nick Wintz |
| Sponsored by | Department of Mathematics and Statistics |
| Contact | Martin Bohner |
| More | http://web.mst.edu/~bohner/seminar/ts.html |
| Topology/Algebra Seminar: Intro to Contact Algebras
(Continued) | |
| Date | Thursday, November 06, 2008 |
| Time | 2:00 pm - 3:00 pm CST |
| Where | G-4 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. |
| Analysis Seminar: "Brownian Motion Indexed by a Time
Scale" | |
| Date | Friday, November 07, 2008 |
| Time | 4:00 pm - 4:50 pm CST |
| Where | Room G-5 Rolla Building |
| Event Type | Lectures & Seminars |
| Presenter | Dr. David Grow |
| Sponsored by | Department of Mathematics and Statistics |
| Contact | Roman Dwilewicz |
| Description | I will report on joint research with Suman Sanyal,
who finished his Ph.D. under
Martin Bohner at Missouri S&T in
May of this year and is currently a visiting assistant professor at
Clarkson University. We demonstrate the existence and uniqueness of
Brownian motion indexed by an arbitrary nonempty closed subset of the real line, i.e., a time scale. |