Rider's current research is focussed on random matrix theory, or the study of
universal properties of the spectrum of "typical" linear operators in the
infinite dimensional limit. Starting from basic quetsions in quantum
mechanics and mathematical statistics, random matrix theory has grown to have
implications for or connections to an enormous range of areas including
information theory, operator algebras, numerical analysis, statistical
mechanics and integrable systems. Rider's work on the so-called beta ensembles
of random matrix theory was recognized by the (shared) 2008 Rollo Davidson Prize.
Rider received his Ph.D. at Courant under Henry P. McKean.
Yang's research interests lie in
mathematical physics, mathematical finance and complex
networks. He has worked on phase transitions and critical phenomena in
statistical mechanics, Gaussian and non-Gaussian random fields with
applications to quantum field theory, percolation, the Ising model, and
self-avoiding random walks. His more recent work includes the following
topics: quantum random walks with applications to quantum computing, ruin
probability of risk processes and wireless networks.
Yang received his Ph.D. at Cornell University under Eugene B. Dynkin.
Seminars and advanced courses
Temple Probability Seminar
Current graduate students