Meet Hung V. Le
Visiting Assistant Professor, Mathematics
Phone: (813) 257-4032
Address: 401 W. Kennedy Blvd. Tampa, FL 33606
2015, University of California, Berkeley, B.S.
2020, Washington State University, Ph.D.
Dr. Le's specific area of academic interest is Linear Algebra, and his current research is inhomogeneous Markov chains.
Dr. Le's current research is inhomogeneous Markov chains, which have transition matrices that vary in time. His interest is to study their dynamics and probability distribution vectors as functions of time. Markov chains are popular and well-established stochastic modeling tools, where it is often implicitly assumed that the transition probabilities are homogeneous in time. This assumption is not always justified, as e.g., ecological systems rarely remain stable under dynamic environmental conditions. Inhomogeneous Markov chains relax this assumption and could therefore provide a powerful tool for studying fundamental problems of non-stationary dynamics, such as environmental effects of climatic changes. The mathematical theory of inhomogeneous Markov chains remains relatively undeveloped. I have worked on expanding the linear algebraic theory of homogeneous Markov chains over a finite state space to include non-stationary dynamics.
Thesis: Hung V. Le, Matrix Analysis Primer for Inhomogeneous Markov Chains, Ph.D. Dissertation, Washington State University, December 2020.
Paper: Hung V. Le and Michael J. Tsatsomeros, Matrix Analysis for Continuous-Time Markov Chains, submitted to Special Matrices, June 2021.
2014 – 2015: Paul F. Yopes Undergraduate Scholarship, University of California, Berkeley
2014 – 2015: Arthur Williams Scholarship, University of California, Berkeley
2013 – 2015: George Douglass Scholarship, University of California, Berkeley.
April 2013: Harry Hancock Mathematics Foundation Scholarship, Contra Costa College