The APRG members focus on research in analysis, probability, their
applications, and contiguous areas.
Analysis:
Research in analysis at APRG ranges over diverse areas of the subject. It
includes Harmonic analysis, Matrix analysis, Spectral graph theory,
Operator theory, Partial differential equations, Complex analysis in
several variables, Metric geometry, and Non-linear dynamics.
[APRG Members]
Probability:
Research in probability at APRG covers both the theoretical and applied
aspects of the subject. On the theoretical side there is interest in
Interacting particles and statistical physics, Exclusion processes,
Geometric random graphs and percolation, Random matrices and random
polynomials, Large deviations, and Anti-concentration phenomena among
others.
[APRG Members]
On the applied side, the research areas include, but are not limited to,
Information theory, Network science, Statistical learning and inference,
Machine learning, Stochastic approximation, Stochastic control, Convex
optimization, and Simulation based optimization.
[APRG Members]