MONDAY, SEPTEMBER 12, 2005

DIFFERENTIAL EQUATIONS AND APPLIED/COMPUTATIONAL MATHEMATICS SEMINAR

TIME: 3:35 p.m.
ROOM: 104 Ayres Hall
SPEAKER: Ms. Rachael Miller
TITLE: Optimal Control of an Epidemic Model with an Isoperimetric Constraint


TUESDAY, SEPTEMBER 13, 2005

SPECIAL MATH ECOLOGY SEMINAR

TIME: 1:00 p.m.
ROOM: 309B Ayres Hall
SPEAKER: Dr. Lorinda Sheeler
Epidemiologist, State of Tennessee Department of Health
TOPIC: Rabies: Surveillance, Management and Research
(Be aware: This seminar may have to be rescheduled in the event that Dr. Sheeler is called away to screen incoming evacuees from flooded areas.)

WEDNESDAY, SEPTEMBER 14, 2005

ALGEBRA SEMINAR

TIME: 3:35 p.m.
ROOM: 214 Ayres Hall
SPEAKER: Sudhir Ghorpade, Visiting Faculty
TITLE: Linear Codes and Projective Varieties II (continued)

ANALYSIS SEMINAR

TIME: 3:35 – 4:25 p.m.
ROOM: 309B Ayres Hall
SPEAKER: Professor Carl Sundberg
TITLE: Zeros of functions in weighted Bergman spaces, 2

THURSDAY, SEPTEMBER 8, 2005

PROBABILITY SEMINAR
The format of the Probability Seminar this semester will be as follows:
Each member of the Probability group will present three/four (perhaps more) lectures describing results and problems of his research area(s). The level of the lectures will be such that these would be accessible to graduate students with probability background.

TIME: 1:10 – 2:00 p.m.
ROOM: 209A Ayres
SPEAKER: Professor Balram S. Rajput
TITLE: Uniform Comparison of Tail Probabilities of (Non-Symmetric) Random
Vectors and Their Symmetrized Counterparts with Applications
ABSTRACT: Let B be a separable Banach space, and X a class of B-valued random vectors (r.v.’s). We shall provide two sufficient conditions (one in terms of certain quantiles and the other in terms of certain moments) for the “uniform comparison” of the tail probabilities of every element of X and its symmetrized counterpart. As a corollary to this result, we shall show that several well known & important classical results that are valid for symmetric (but not for general non-symmetric) B-valued r.v.’s do indeed hold for the r.v.’s belonging to the class X satisfying any of the above noted conditions and another additional convolution condition. These results include the Lévy Inequality, the Kwapieñ Contraction Principle, and a part of the Ito-Nisio Theorem. We shall further show that the noted required conditions are satisfied by the class of all centered log-concave B-valued
r.v.’s as well as by the class of all strictly a-stable (or more general (r, a)-semi-stable B-valued r.v.’s provided a ¹1 thus proving that all the noted results hold for these classes of r.v.’s. We will also show that for these classes of r.v.’s the constants appearing in the tail probability comparison theorem do not depend on the Banach space B in fact, these are universal constants in the log-concave case, and depend only on a in the stable case and on r and a in the semi-stable case. We shall further discuss the tail probability comparison of multi-linear forms in stable/semi-stable r.v.’s and those in their symmetrized counterparts; these provide further applications to the study of multiple stochastic integrals relative to stable/semi-stable random measures.

FRIDAY, SEPTEMBER 16, 2005

TOPOLOGY SEMINAR

TIME: 12:20 – 1:10 p.m.
ROOM: 209B Ayres Hall
SPEAKER: Mr. Atish Mitra
TITLE: Asymptotic Dimension of Metric Spaces – III
ABSTRACT: We will look at asymptotic dimension of groups endowed with the word metric.