Analysis
Seminar: "Brownian Motion on Time Scales" |
| 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)" |
| 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 |
| 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 | |