Seminars and Colloquiums
for the week of April 20, 2009
Speakers:
Ms. Miun Yoon, Monday
Dr. Zhengyan Lin, Zhejiang University, Tuesday
Mr. Jay Wilkins, Wednesday
Dr. Y. S. Prahalad, Institute of Mathematics and Applications, Bhubaneswar, India, Thursday
Dr. Robert Lipton, LSU , Thursday
Monday, April 20
MATH ECOLOGY SEMINAR
TIME: 11:15 – 12:05 p.m.
ROOM: Dabney 575
SPEAKER: Ms. Miun Yoon
TITLE: “Variational methods for gene regulatory network identification
based on differential equation modeling”
DE/APPLIED MATH & COMPUTATIONAL SCIENCE SEMINAR
TIME: 3:35 – 4:35 p.m.
ROOM: AC 113A
SPEAKER: Ms. Miun Yoon
TITLE: “Introduction to Random Matrix Theory (RMT) and its Applications”
ABSTRACT: Random matrices were first encountered in mathematical statistics by Hsu, Wishart and others in the 1930s, an intense study of their properties in connection with nuclear physics began with the work of Wigner in the 1950s. RMT has now matured into a field with applications in physics, mathematics, finance, biology, community networks etc. In this talk, I shall first give a brief introduction to RMT and highlight some of its major developments. I shall then focus on discussing the following two applications of RMT: the Riemann Hypothesis and gene regulatory network identification.
Tuesday, April 21
PROBABILITY SEMINAR
TIME: 11:15 – 12:05 p.m.
ROOM: HBB 132
SPEAKER: Dr. Zhengyan Lin, Zhejiang University
TITLE: “m-dependent approximation and its applications”
ABSTRACT: We introduce the m-dependent approximation for a class of stationary
processes. As its applications, under quite easy verifiable and more weaker conditions,
we present limit theorems for weak and strong invariance principle, the maximum of
the periodogram and spectral density estimation.
Wednesday, April 22
ANALYSIS SEMINAR
TIME: 3:35 p.m.
ROOM: AC 113A
SPEAKER: Mr. Jay Wilkins
TITLE: "Analysis on Resistance Metric Spaces"
ABSTRACT: Resistance metrics are metrics that, on finite sets and graphs, literally mimic the electrical resistance between two nodes in an electrical network. In recent years, these metrics have been generalized and used to study analysis, geometry, and partial differential equations on spaces with specialized structure, such as fractals and infinite networks. In particular, there is a well-developed theory of harmonic analysis on resistance metric spaces. I will give an overview of harmonic analysis on these spaces. In the first talk, I will give an introduction to resistance metric spaces and the energy forms and Laplacians that are used to construct them. Then I will show how methods from functional analysis are used to develop the tools of harmonic analysis on these spaces, focusing particularly the generalized Laplacian, Green’s functions, and Green operators. The natural domain for the Laplacian will be shown to be a Banach space of Lipschitz continuous functions under a specific norm.
Thursday, April 23
PROBABILITY SEMINAR
TIME: 12:40 - 1:55 p.m.
ROOM: HBB 132
SPEAKER: Y. S. Prahalad, Institute of Mathematics and Applications, Bhubaneswar, India
TITLE: "Invariant Measures for Geophysical Fluid Flows"
ABSTRACT :- An attempt at constructing Probability Measures of on the Phase Space of all vortices of a Quasi-geostrophic Flow are presented.The techniques used are those developed by Albeverio and his collaborators. It is shown that a one parameter family of mutually singular measures can be constructed. These can be shown to be local invariant. Global invariance proves to be elusive. These considerations have relevance to developing an Ergodic Theory of Dynamical Systems with In nitely Many Degrees of Freedom but have little no no relevance to the much vexed problem of Turbulence.
COLLOQUIUM
TIME: 3:35 p.m.
ROOM: HBB 102
SPEAKER: Dr. Robert Lipton, LSU
TITLE: “Design of material micro-structure for optimal structural properties”
ABSTRACT: In this talk we discuss the mathematical theory and associated numerical methods used in the design of heterogeneous materials at the meso-scale. We provide particular attention to the problem of designing composites for optimal structural stiffness and strength. These two properties although arising from the manipulation of the micro-structure manifest themselves along two different length scales. We provide a theoretical treatment of this phenomena and a numerical design method derived from this approach.
If you are interested in giving or arranging a talk for one of our seminars or colloquiums, please review our calendar.
If you have questions, or a date you would like to confirm, please contact Dr. Steve Wise.
Week of:
3/16/09 (spring break)
Past notices:
Seminars from 2007-2008 academic year
Seminars from 2006-2007 academic year